Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-10 Thread Anthony Towns

On Sat, Dec 09, 2000 at 07:43:57PM -0500, Raul Miller wrote:
 Personally, I worry about any kind of wholesale change in the language
 of the constitution.  Yeah, if you change major chunks of the document
 then current ambiguities would go away.  But how do we know whether we're
 introducing new ones?  Or whether we're introducing other problems?

Raul, how do you know your interpretations aren't introducing more
problems? It's not like your interpretation (of supermajorities in
particular, but also of cyclic tie-breaking) has ever actually been used
before, either within Debian or without. It's not like it's the end result
of months of discussion by experts, and years of electoral research. It's
not even like it's the widely held consensus of a bunch of non-experts.

Instead, it's one non-expert's interpretation of a not particularly
plainly written document written mainly by another non-expert, that
hasn't particularly stood the test of time all that well.

Can you see why I don't think all this random "but that's not what the
constitution *says*" junk isn't the right way to approach this, or even
a particularly helpful interlude?

Cheers,
aj

-- 
Anthony Towns [EMAIL PROTECTED] http://azure.humbug.org.au/~aj/
I don't speak for anyone save myself. GPG signed mail preferred.

 ``Thanks to all avid pokers out there''
   -- linux.conf.au, 17-20 January 2001

 PGP signature


Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-10 Thread Raul Miller

On Sat, Dec 09, 2000 at 07:43:57PM -0500, Raul Miller wrote:
  Personally, I worry about any kind of wholesale change in the language
  of the constitution.  Yeah, if you change major chunks of the document
  then current ambiguities would go away.  But how do we know whether we're
  introducing new ones?  Or whether we're introducing other problems?

On Sun, Dec 10, 2000 at 08:16:13PM +1000, Anthony Towns wrote:
 Raul, how do you know your interpretations aren't introducing more
 problems? 

That's one of the reasons I've been talking about them -- to find out
if anyone sees them from a point of view that introduces more problems.

But, I'd like to make a distinction between philosophical problems and
the more specific problem of ambiguities which could lead to different
winners of the same vote.

 It's not like your interpretation (of supermajorities in particular,
 but also of cyclic tie-breaking) has ever actually been used before,
 either within Debian or without.

On the "different winners of the same vote" issue:

[1] I don't see that you've shown my ideas to be flawed in this fashion.

[2] If my interpretation of the constitution is equivalent to your
interpretation of the constitution where there's no cyclic tie, if the
ambiguities in vote counting only appear where there is a cyclic tie,
what room is there for additional ambiguities to appear where none
existed before?

On the philosopic side of things:

It's not like anyone else has designed a real voting system to be used
for an email participation context.

If you want us to fall back on the sort of voting systems used in more
traditional contexts: Supermajority would be described as a different
kind of ratio: how much of the entire body must be in favor of the option
before it can pass.  For example: a 2/3 supermajority would mean that
2/3 of all debian developers must be in favor of the option before it
can pass.  [Can you point at any counter examples?]

What I see is that debian's system is designed to work on the idea that
the people interested in a subject are the people who are competent
to decide on that subject, and that there's a right way to do things.
That's funamentally different from the usual sort of voting system,
which assumes universal participation of some sort, and doesn't presume
that anything other than voter opinion indicates that one idea is better
than any others.

I'll agree that my interpretation of supermajority is different from the
tradition, but I think that, philosophically, mine aligns closer to the
way debian has made choices in the past.

Something similar applies to my view of cyclic tie breaking -- I'm not
assuming that only voter opinion matters, and I'm assuming that people
have a particular *reason* for picking a first option first.

Also, the weights assigned to votes at different preferences is
fundamentally arbitrary:  Smith/Condorcet would continue to break cyclic
ties if the contribution introduced by each preference after the first
was multiplied by an additional factor of 1/(number of voters) -- and,
for the case of no cyclic tie, this variant of Smith/Condorcet would
continue to pick the same winner as the traditional variant.

 It's not like it's the end result of months of discussion by
 experts, and years of electoral research. It's not even like it's
 the widely held consensus of a bunch of non-experts. 

Ok, point me at some references to expert discussion on voting systems
with Debian's philosophic base.

 Instead, it's one non-expert's interpretation of a not particularly
 plainly written document written mainly by another non-expert, that
 hasn't particularly stood the test of time all that well.

You're falling into an ad hominem argument.

 Can you see why I don't think all this random "but that's not what the
 constitution *says*" junk isn't the right way to approach this, or
 even a particularly helpful interlude?

Can you point me at another organization which has tried to tackle
things in the fashion that debian has been tackling things, whose model
we should adopt?

Thanks,

-- 
Raul


--  
To UNSUBSCRIBE, email to [EMAIL PROTECTED]
with a subject of "unsubscribe". Trouble? Contact [EMAIL PROTECTED]




Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-10 Thread Anthony Towns

On Sun, Dec 10, 2000 at 07:48:07AM -0500, Raul Miller wrote:
 On Sun, Dec 10, 2000 at 08:16:13PM +1000, Anthony Towns wrote:
  It's not like your interpretation (of supermajorities in particular,
  but also of cyclic tie-breaking) has ever actually been used before,
  either within Debian or without.
 On the "different winners of the same vote" issue:
 [1] I don't see that you've shown my ideas to be flawed in this fashion.

Of three possible interpretations of the constitution (one clearly valid,
two of questionable validity, labeled "mine" (the 6 repeated final
ballots) and "yours"), the former and mine end up with the same results
given the same opinions of voters, yours ends up with different results
in a number of cases, without introducing any (further) ambiguities.

No, your system isn't random: it won't come up with different winners
to the same vote; but that's a pretty pointless criteria. Choosing the
first option alphabetically will manage that.

 [2] If my interpretation of the constitution is equivalent to your
 interpretation of the constitution where there's no cyclic tie,

It isn't. It's at best equivalent when there are no cyclic ties and no
differing supermajority requirements. There may also be other differences
that we never got around to looking at.

 On the philosopic side of things:
 It's not like anyone else has designed a real voting system to be used
 for an email participation context.

I'm not sure how much overemphasis you're putting on the word "email"
in the above, but there certainly are plenty of other voting systems
out there.

 If you want us to fall back on the sort of voting systems used in more
 traditional contexts: Supermajority would be described as a different
 kind of ratio: how much of the entire body must be in favor of the option
 before it can pass.

ie, n:m vecomes n/(n+m). That's, err, not a terribly fundamental change.

And it's yet again being inexplicit about what "in favour of the
option" means, although since we're apparently talking about a general
principle or something, that's somewhat understandable.

A more useful description of supermajority might be by reversing the
ratio, and saying that `a 2/3 supermajority means that a 1/3 minority
can veto the resolution'.

 What I see is that debian's system is designed to work on the idea that
 the people interested in a subject are the people who are competent
 to decide on that subject,

No one ever suggested making voting compulsory for developers.

 That's funamentally different from the usual sort of voting system,
 which assumes universal participation of some sort, and doesn't presume
 that anything other than voter opinion indicates that one idea is better
 than any others.

And that doesn't follow at all. What, other than voter opinion, would
you like to base a vote's results on?

 I'll agree that my interpretation of supermajority is different from the
 tradition, but I think that, philosophically, mine aligns closer to the
 way debian has made choices in the past.

That's possible. ``If the majority are being stupid, then a minority
shall form a Cabal, manipulate the system to their own ends, and get
what they want anyway.''

 Also, the weights assigned to votes at different preferences is
 fundamentally arbitrary:

No, it's not. It influences how people have to vote in order to get what
they want. To take a topical (and extreme) example, the US presidential
elections give a weight of 1 to the first preference, and 0 to all other
preferences, so someone with since preferences:
1: Nader, 2: Gore, 3: Bush
is obliged to think carefully about their vote, and probably change it to
1: Gore, ...
depending on whether he or she thinks Nader will get any use out of a vote
for him (since Gore almost certainly will).

The point of selecting a good voting system is to make sure voters get
an optimal compromise without having to think carefully about whether
they should lie about what option they'd really prefer to win.

  It's not like it's the end result of months of discussion by
  experts, and years of electoral research. It's not even like it's
  the widely held consensus of a bunch of non-experts. 
 Ok, point me at some references to expert discussion on voting systems
 with Debian's philosophic base.

``Look, all these docs tell you how to create secure temp files in /tmp,
while I want to create them in /var/tmp! What good are they? What a
waste of time. I'll just use fopen(), it's easy and understandable.''

Whatever. There's plenty of actual criteria you can actually test a
voting method against in previous messages. If you want to ignore those
and instead base your measure of how good a voting system is solely on
how closely it matches your reading of the constitution, you're both
welcome and deluded.

Cheers,
aj

-- 
Anthony Towns [EMAIL PROTECTED] http://azure.humbug.org.au/~aj/
I don't speak for anyone save myself. GPG signed mail preferred.

 ``Thanks to all avid pokers out 

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-10 Thread Anthony Towns
On Sat, Dec 09, 2000 at 07:43:57PM -0500, Raul Miller wrote:
 Personally, I worry about any kind of wholesale change in the language
 of the constitution.  Yeah, if you change major chunks of the document
 then current ambiguities would go away.  But how do we know whether we're
 introducing new ones?  Or whether we're introducing other problems?

Raul, how do you know your interpretations aren't introducing more
problems? It's not like your interpretation (of supermajorities in
particular, but also of cyclic tie-breaking) has ever actually been used
before, either within Debian or without. It's not like it's the end result
of months of discussion by experts, and years of electoral research. It's
not even like it's the widely held consensus of a bunch of non-experts.

Instead, it's one non-expert's interpretation of a not particularly
plainly written document written mainly by another non-expert, that
hasn't particularly stood the test of time all that well.

Can you see why I don't think all this random but that's not what the
constitution *says* junk isn't the right way to approach this, or even
a particularly helpful interlude?

Cheers,
aj

-- 
Anthony Towns [EMAIL PROTECTED] http://azure.humbug.org.au/~aj/
I don't speak for anyone save myself. GPG signed mail preferred.

 ``Thanks to all avid pokers out there''
   -- linux.conf.au, 17-20 January 2001


pgphZR2Xnhvd1.pgp
Description: PGP signature


Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-10 Thread Raul Miller
On Sat, Dec 09, 2000 at 07:43:57PM -0500, Raul Miller wrote:
  Personally, I worry about any kind of wholesale change in the language
  of the constitution.  Yeah, if you change major chunks of the document
  then current ambiguities would go away.  But how do we know whether we're
  introducing new ones?  Or whether we're introducing other problems?

On Sun, Dec 10, 2000 at 08:16:13PM +1000, Anthony Towns wrote:
 Raul, how do you know your interpretations aren't introducing more
 problems? 

That's one of the reasons I've been talking about them -- to find out
if anyone sees them from a point of view that introduces more problems.

But, I'd like to make a distinction between philosophical problems and
the more specific problem of ambiguities which could lead to different
winners of the same vote.

 It's not like your interpretation (of supermajorities in particular,
 but also of cyclic tie-breaking) has ever actually been used before,
 either within Debian or without.

On the different winners of the same vote issue:

[1] I don't see that you've shown my ideas to be flawed in this fashion.

[2] If my interpretation of the constitution is equivalent to your
interpretation of the constitution where there's no cyclic tie, if the
ambiguities in vote counting only appear where there is a cyclic tie,
what room is there for additional ambiguities to appear where none
existed before?

On the philosopic side of things:

It's not like anyone else has designed a real voting system to be used
for an email participation context.

If you want us to fall back on the sort of voting systems used in more
traditional contexts: Supermajority would be described as a different
kind of ratio: how much of the entire body must be in favor of the option
before it can pass.  For example: a 2/3 supermajority would mean that
2/3 of all debian developers must be in favor of the option before it
can pass.  [Can you point at any counter examples?]

What I see is that debian's system is designed to work on the idea that
the people interested in a subject are the people who are competent
to decide on that subject, and that there's a right way to do things.
That's funamentally different from the usual sort of voting system,
which assumes universal participation of some sort, and doesn't presume
that anything other than voter opinion indicates that one idea is better
than any others.

I'll agree that my interpretation of supermajority is different from the
tradition, but I think that, philosophically, mine aligns closer to the
way debian has made choices in the past.

Something similar applies to my view of cyclic tie breaking -- I'm not
assuming that only voter opinion matters, and I'm assuming that people
have a particular *reason* for picking a first option first.

Also, the weights assigned to votes at different preferences is
fundamentally arbitrary:  Smith/Condorcet would continue to break cyclic
ties if the contribution introduced by each preference after the first
was multiplied by an additional factor of 1/(number of voters) -- and,
for the case of no cyclic tie, this variant of Smith/Condorcet would
continue to pick the same winner as the traditional variant.

 It's not like it's the end result of months of discussion by
 experts, and years of electoral research. It's not even like it's
 the widely held consensus of a bunch of non-experts. 

Ok, point me at some references to expert discussion on voting systems
with Debian's philosophic base.

 Instead, it's one non-expert's interpretation of a not particularly
 plainly written document written mainly by another non-expert, that
 hasn't particularly stood the test of time all that well.

You're falling into an ad hominem argument.

 Can you see why I don't think all this random but that's not what the
 constitution *says* junk isn't the right way to approach this, or
 even a particularly helpful interlude?

Can you point me at another organization which has tried to tackle
things in the fashion that debian has been tackling things, whose model
we should adopt?

Thanks,

-- 
Raul



Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-10 Thread Anthony Towns
On Sun, Dec 10, 2000 at 07:48:07AM -0500, Raul Miller wrote:
 On Sun, Dec 10, 2000 at 08:16:13PM +1000, Anthony Towns wrote:
  It's not like your interpretation (of supermajorities in particular,
  but also of cyclic tie-breaking) has ever actually been used before,
  either within Debian or without.
 On the different winners of the same vote issue:
 [1] I don't see that you've shown my ideas to be flawed in this fashion.

Of three possible interpretations of the constitution (one clearly valid,
two of questionable validity, labeled mine (the 6 repeated final
ballots) and yours), the former and mine end up with the same results
given the same opinions of voters, yours ends up with different results
in a number of cases, without introducing any (further) ambiguities.

No, your system isn't random: it won't come up with different winners
to the same vote; but that's a pretty pointless criteria. Choosing the
first option alphabetically will manage that.

 [2] If my interpretation of the constitution is equivalent to your
 interpretation of the constitution where there's no cyclic tie,

It isn't. It's at best equivalent when there are no cyclic ties and no
differing supermajority requirements. There may also be other differences
that we never got around to looking at.

 On the philosopic side of things:
 It's not like anyone else has designed a real voting system to be used
 for an email participation context.

I'm not sure how much overemphasis you're putting on the word email
in the above, but there certainly are plenty of other voting systems
out there.

 If you want us to fall back on the sort of voting systems used in more
 traditional contexts: Supermajority would be described as a different
 kind of ratio: how much of the entire body must be in favor of the option
 before it can pass.

ie, n:m vecomes n/(n+m). That's, err, not a terribly fundamental change.

And it's yet again being inexplicit about what in favour of the
option means, although since we're apparently talking about a general
principle or something, that's somewhat understandable.

A more useful description of supermajority might be by reversing the
ratio, and saying that `a 2/3 supermajority means that a 1/3 minority
can veto the resolution'.

 What I see is that debian's system is designed to work on the idea that
 the people interested in a subject are the people who are competent
 to decide on that subject,

No one ever suggested making voting compulsory for developers.

 That's funamentally different from the usual sort of voting system,
 which assumes universal participation of some sort, and doesn't presume
 that anything other than voter opinion indicates that one idea is better
 than any others.

And that doesn't follow at all. What, other than voter opinion, would
you like to base a vote's results on?

 I'll agree that my interpretation of supermajority is different from the
 tradition, but I think that, philosophically, mine aligns closer to the
 way debian has made choices in the past.

That's possible. ``If the majority are being stupid, then a minority
shall form a Cabal, manipulate the system to their own ends, and get
what they want anyway.''

 Also, the weights assigned to votes at different preferences is
 fundamentally arbitrary:

No, it's not. It influences how people have to vote in order to get what
they want. To take a topical (and extreme) example, the US presidential
elections give a weight of 1 to the first preference, and 0 to all other
preferences, so someone with since preferences:
1: Nader, 2: Gore, 3: Bush
is obliged to think carefully about their vote, and probably change it to
1: Gore, ...
depending on whether he or she thinks Nader will get any use out of a vote
for him (since Gore almost certainly will).

The point of selecting a good voting system is to make sure voters get
an optimal compromise without having to think carefully about whether
they should lie about what option they'd really prefer to win.

  It's not like it's the end result of months of discussion by
  experts, and years of electoral research. It's not even like it's
  the widely held consensus of a bunch of non-experts. 
 Ok, point me at some references to expert discussion on voting systems
 with Debian's philosophic base.

``Look, all these docs tell you how to create secure temp files in /tmp,
while I want to create them in /var/tmp! What good are they? What a
waste of time. I'll just use fopen(), it's easy and understandable.''

Whatever. There's plenty of actual criteria you can actually test a
voting method against in previous messages. If you want to ignore those
and instead base your measure of how good a voting system is solely on
how closely it matches your reading of the constitution, you're both
welcome and deluded.

Cheers,
aj

-- 
Anthony Towns [EMAIL PROTECTED] http://azure.humbug.org.au/~aj/
I don't speak for anyone save myself. GPG signed mail preferred.

 ``Thanks to all avid pokers out there''

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-09 Thread Raul Miller

On Fri, Dec 08, 2000 at 04:52:38PM +1000, Anthony Towns wrote:
   You're mixing and matching what you apply the word "preference"
   to. The option ranked first is more important than the others
   because the voter has expressed that it's preferred to all the
   others. That is the following preferences are expressed:
 B  A
 B  S
   The option ranked second, however only gets:
 A  S
   But "A  S" counts just as much as "B  S" or "B  A". "A"
   however, doesn't count as much as "B", because, well, "B  A".

On Fri, Dec 08, 2000 at 01:04:42PM -0500, Raul Miller wrote:
  I don't see that you can say "count as much" without assuming a
  counting methodology. If you're going to use this argument as
  an argument for that methodology you're introducing a circular
  argument. The way I see it, first preference is more important to
  the voter than the other preferences because, well, the voter rated
  it as the first preference.

On Sat, Dec 09, 2000 at 01:14:34PM +1000, Anthony Towns wrote:
 Again, you're mixing terms. What are you trying to say? That by being
 ranked first, "B" should be treated as more important than "A"? Then,
 sure, I agree, and I just explained how Condorcet schemes deal with
 that.

Of course I'm saying that.  And, I know how the Condorcet schemes deal
with that.

 If you're trying to say that the preference "B is better than A" is
 much more important than the preference "A is better than S", then I
 think you're making things up as you go, and that they're not very
 good things either.

Once again: the 1st preference vote is more important than the other
votes.

 There are schemes that'll work that way. You could invert a Borda
 counting method, for example, and get something that works that way.
 Condorcet, however doesn't. The constitution doesn't, either.

Your "the constitution doesn't" requires that you use an interpretation
where some number of potential votes are undecidable.  Correct?

  The way I see it, the second (etc.) preferences are only to be used
  when there's an ambiguity in the cumulative impact of the first
  preferences.

 In which case you'd be wrong.

Counter example?  [Please limit this to something which fits within
the constraints of the constitution.  I'm fully aware that you can pick
arbitrary voting systems with arbitrary properties.]

 Please rate your preferences for the final form of the draft resolution:
   [ _ ] P
   [ _ ] P+A
   [ _ ] P+B
   [ _ ] P+A+B
   [ _ ] P+A+C
   [ _ ] P+B+C
   [ _ ] Further Discussion

 Should P be the final form of the draft resolution, please rate your
 preferences for its acceptance:
   [ _ ] Yes
   [ _ ] No
   [ _ ] Further Discussion

 Should P+A be the fin...
 (etc)
This looks like one amendment ballot and six other ballots, one which
would be a final ballot, and five which would be neither amendment
ballots nor final ballots.  
   Not exactly. It's one amendment ballot and the final ballot repeated six
   times, one for each different form the final form of the draft resolution
   can take so that each voter can "vote differently in the final ballot
   for each of the possible forms of the final draft resolution".
  Eh?  You're saying this is a single final ballot?
  That's not one ballot, it's six.
 
 It is the same ballot, repeated six times. Is that really difficult to
 understand?

They're not the same ballot because they don't have the same options
on them.

Different ballots have different options on them.  Different instances
of the same ballot would have the same options on them.  These ballots
are similar, but they're not the same.

Uh.. you do understand the distinction between "similar" and "the same",
right?

 I'm also failing to see anything particularly unfair or worrying about it.

I'm concerned about its unnecessary complexity.

 It's *exactly* equivalent to having N+1 separate ballots (spaced out
 in time), except that it's quicker (and doesn't give people time to
 change their minds between votes). Every outcome that's possible is
 the same, each of the ballots listed is in a form exactly specified
 in the constitution. There's no ambiguities that have to be carefully
 worked around.

That's not what I see.  

First off, the internal conflicts in what you're saying: I see one
amendment ballot, and six final ballots.  N+1, where N=1 is 2.  You've got
seven ballots.  To space them out in time, in exactly the same fashion,
you'd have to have seven votes.

Second off, the inconsistencies between your interpretation and the
constitution.  These aren't as blatent -- essentially, you've added
constraints which are not present in the constitution:

[a] You've decided that the form of the final ballot, specified in
A.3(2), when there's a single draft resolution to be considered, is the
only form possible for a final ballot.  Except, since it's physically
impossible to live within 

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-09 Thread Raul Miller
On Fri, Dec 08, 2000 at 04:52:38PM +1000, Anthony Towns wrote:
   You're mixing and matching what you apply the word preference
   to. The option ranked first is more important than the others
   because the voter has expressed that it's preferred to all the
   others. That is the following preferences are expressed:
 B  A
 B  S
   The option ranked second, however only gets:
 A  S
   But A  S counts just as much as B  S or B  A. A
   however, doesn't count as much as B, because, well, B  A.

On Fri, Dec 08, 2000 at 01:04:42PM -0500, Raul Miller wrote:
  I don't see that you can say count as much without assuming a
  counting methodology. If you're going to use this argument as
  an argument for that methodology you're introducing a circular
  argument. The way I see it, first preference is more important to
  the voter than the other preferences because, well, the voter rated
  it as the first preference.

On Sat, Dec 09, 2000 at 01:14:34PM +1000, Anthony Towns wrote:
 Again, you're mixing terms. What are you trying to say? That by being
 ranked first, B should be treated as more important than A? Then,
 sure, I agree, and I just explained how Condorcet schemes deal with
 that.

Of course I'm saying that.  And, I know how the Condorcet schemes deal
with that.

 If you're trying to say that the preference B is better than A is
 much more important than the preference A is better than S, then I
 think you're making things up as you go, and that they're not very
 good things either.

Once again: the 1st preference vote is more important than the other
votes.

 There are schemes that'll work that way. You could invert a Borda
 counting method, for example, and get something that works that way.
 Condorcet, however doesn't. The constitution doesn't, either.

Your the constitution doesn't requires that you use an interpretation
where some number of potential votes are undecidable.  Correct?

  The way I see it, the second (etc.) preferences are only to be used
  when there's an ambiguity in the cumulative impact of the first
  preferences.

 In which case you'd be wrong.

Counter example?  [Please limit this to something which fits within
the constraints of the constitution.  I'm fully aware that you can pick
arbitrary voting systems with arbitrary properties.]

 Please rate your preferences for the final form of the draft 
 resolution:
   [ _ ] P
   [ _ ] P+A
   [ _ ] P+B
   [ _ ] P+A+B
   [ _ ] P+A+C
   [ _ ] P+B+C
   [ _ ] Further Discussion

 Should P be the final form of the draft resolution, please rate your
 preferences for its acceptance:
   [ _ ] Yes
   [ _ ] No
   [ _ ] Further Discussion

 Should P+A be the fin...
 (etc)
This looks like one amendment ballot and six other ballots, one which
would be a final ballot, and five which would be neither amendment
ballots nor final ballots.  
   Not exactly. It's one amendment ballot and the final ballot repeated six
   times, one for each different form the final form of the draft resolution
   can take so that each voter can vote differently in the final ballot
   for each of the possible forms of the final draft resolution.
  Eh?  You're saying this is a single final ballot?
  That's not one ballot, it's six.
 
 It is the same ballot, repeated six times. Is that really difficult to
 understand?

They're not the same ballot because they don't have the same options
on them.

Different ballots have different options on them.  Different instances
of the same ballot would have the same options on them.  These ballots
are similar, but they're not the same.

Uh.. you do understand the distinction between similar and the same,
right?

 I'm also failing to see anything particularly unfair or worrying about it.

I'm concerned about its unnecessary complexity.

 It's *exactly* equivalent to having N+1 separate ballots (spaced out
 in time), except that it's quicker (and doesn't give people time to
 change their minds between votes). Every outcome that's possible is
 the same, each of the ballots listed is in a form exactly specified
 in the constitution. There's no ambiguities that have to be carefully
 worked around.

That's not what I see.  

First off, the internal conflicts in what you're saying: I see one
amendment ballot, and six final ballots.  N+1, where N=1 is 2.  You've got
seven ballots.  To space them out in time, in exactly the same fashion,
you'd have to have seven votes.

Second off, the inconsistencies between your interpretation and the
constitution.  These aren't as blatent -- essentially, you've added
constraints which are not present in the constitution:

[a] You've decided that the form of the final ballot, specified in
A.3(2), when there's a single draft resolution to be considered, is the
only form possible for a final ballot.  Except, since it's physically
impossible to live within this constraint and still 

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-09 Thread Anthony Towns
On Sat, Dec 09, 2000 at 05:27:56AM -0500, Raul Miller wrote:
  It is the same ballot, repeated six times. Is that really difficult to
  understand?
 They're not the same ballot because they don't have the same options
 on them.

Actually, they do have the same options on them: Yes, No, and Further
Discussion.

The final ballot is precisely:

``Shall this resolution be passed: Y/N/F''

Since at the time it's voted on there are six different forms the
resolution can take, and voters are required to be able to vote on this
final ballot differently depending on which final form is chosen, the
ballot has to be repeated six times.

 I suppose that means this conversation is near close.

Well, I was hoping that we'd be able to achieve some consensus here,
but the only objective technical standard for argument you seem willing
to accept seems to be minimal wording changes to the constitution,
so I guess there really is no point.

Cheers,
aj

-- 
Anthony Towns [EMAIL PROTECTED] http://azure.humbug.org.au/~aj/
I don't speak for anyone save myself. GPG signed mail preferred.

 ``Thanks to all avid pokers out there''
   -- linux.conf.au, 17-20 January 2001


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Description: PGP signature


Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-09 Thread Raul Miller
 On Sat, Dec 09, 2000 at 05:27:56AM -0500, Raul Miller wrote:
   It is the same ballot, repeated six times. Is that really difficult to
   understand?
  They're not the same ballot because they don't have the same options
  on them.

On Sun, Dec 10, 2000 at 12:45:23AM +1000, Anthony Towns wrote:
 Actually, they do have the same options on them: Yes, No, and Further
 Discussion.
 
 The final ballot is precisely:
 
   ``Shall this resolution be passed: Y/N/F''
 
 Since at the time it's voted on there are six different forms the
 resolution can take, and voters are required to be able to vote on
 this final ballot differently depending on which final form is chosen,
 the ballot has to be repeated six times.

I've been asserting that only one of these is the final ballot,
and that the other five therefore, are not.  I don't see that
you've addressed that yet.


  I suppose that means this conversation is near close.
 
 Well, I was hoping that we'd be able to achieve some consensus here,
 but the only objective technical standard for argument you seem willing
 to accept seems to be minimal wording changes to the constitution,
 so I guess there really is no point.

Oh?

I try to look at whether an interpretation fits within what the
constitution says.

I try to look at whether there are other intepretations which would also
fit within the constitution.

I try to look at whether the interpretation would say that some part of
the constitution could never have an effect (that's a pretty good sign
that I'm thinking something different than what the original writer
was thinking).

I try to look at the intepretation itself, for inconsistencies.

I try to look at what the actual differences are, between these
interpretations, if they were implemented.

If something seems to pass all these steps, then I consider it a valid
interpretation.  If there are different valid interpretations which
yield different results, then I'd consider that an ambiguity.  If the
ambiguity seems outright wrong (for example: an ambiguity which could
yield different results for the same set of votes on the same ballot),
then I think of that as a part of the constitution where an amendment
would be a good thing.

I think at least one of the valid interpretations for a valid amendment
should be proposed as a constitutional amendment.   Perhaps all of them
should be.

Personally, I worry about any kind of wholesale change in the language
of the constitution.  Yeah, if you change major chunks of the document
then current ambiguities would go away.  But how do we know whether we're
introducing new ones?  Or whether we're introducing other problems? [Look
how long it took for us to really notice the things you've been talking
about in the voting.]

So, yeah, I have a significant bias towards small changes that do nothing
more than fix ambiguities.  [Not that I've gotten off my duff and actually
proposed something I'm happy with, at this point.]

This is similar to my bias, as a package maintainer, towards fixing
existing problems in the simplest, cleanest way possible, and fixing
with documentation or wrappers when the underlying issue isn't a bug.
[Which reminds me, I've got some packages to upgrade.]

Thanks,

-- 
Raul



Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-08 Thread Raul Miller

On Fri, Dec 08, 2000 at 04:52:38PM +1000, Anthony Towns wrote:
  Explain to me, again, why the first preference is no more important
  than the other preferences?
 
 You're mixing and matching what you apply the word "preference" to. The
 option ranked first is more important than the others because the voter
 has expressed that it's preferred to all the others. That is the following
 preferences are expressed:
 
   B  A
   B  S
 
 The option ranked second, however only gets:
 
   A  S
 
 But "A  S" counts just as much as "B  S" or "B  A". "A" however,
 doesn't count as much as "B", because, well, "B  A".

I don't see that you can say "count as much" without assuming a counting
methodology.  If you're going to use this argument as an argument for
that methodology you're introducing a circular argument.

The way I see it, first preference is more important to the voter than
the other preferences because, well, the voter rated it as the first
preference.

Introducing a bunch of symbols then saying "well, no, it's not" doesn't
add any information.

I can accept that, in your opinion, the relationships introduced by the
voter's second preference are just as important to the outcome of the
vote as the relationships introduced by the voter's first preference.

The way I see it, the second (etc.) preferences are only to be used when
there's an ambiguity in the cumulative impact of the first preferences.

I'll add: in most cases, these opinions (yours and mine) yield equivalent
results.

   Please rate your preferences for the final form of the draft resolution:
 [ _ ] P
 [ _ ] P+A
 [ _ ] P+B
 [ _ ] P+A+B
 [ _ ] P+A+C
 [ _ ] P+B+C
 [ _ ] Further Discussion
  
   Should P be the final form of the draft resolution, please rate your
   preferences for its acceptance:
 [ _ ] Yes
 [ _ ] No
 [ _ ] Further Discussion
  
   Should P+A be the fin...
   (etc)
  This looks like one amendment ballot and six other ballots, one which
  would be a final ballot, and five which would be neither amendment
  ballots nor final ballots.  
 
 Not exactly. It's one amendment ballot and the final ballot repeated six
 times, one for each different form the final form of the draft resolution
 can take so that each voter can "vote differently in the final ballot
 for each of the possible forms of the final draft resolution".

Eh?  You're saying this is a single final ballot?

That's not one ballot, it's six.

  Also.. the constitution does specify that the user be able to vote
  differently in the final ballot for each of the forms of final draft
  resolution.  You're only allowing the user to vote on one form of the
  final draft resolution in the final ballot.
 
 *Oh*, is that how you're reading this?
 
 You seem to be saying that should be read as:
 
   ``In the final ballot, each voter must be able to vote for each of
 the possible forms of the final draft resolution.''
 
 whereas I'm saying it should be read as, ummm:
 
   ``If the amendment and final ballots are combined, then there are
 multiple forms of the final resolution that are possible. For
 each of these, each voter must be able to express a *different*
 preference for the options in the final vote (the Y/N/F one),
 even though it won't be clear which of these preferences will
 be used when the voter votes.''
 
 Can you see how I'm breaking that clause up to read it that way?

To some degree.  Can you see that my interpretation is a whole lot
simpler?

[To me, my interpretation seems a whole lot less convoluted than this
business of "It's one final ballot if you squint your eyes this way,
even though it's six ballots if you look at it with your eyes wide open".]

 You seem to be joing the ``to vote'' with the ``for each'' to make
 it ``to vote for'', while I'm treating ``vote differently'' to stand
 alone, and the ``for each'' to mean they get to ``vote'' many times,
 each of which may well be ``different'', and what you're voting for or
 against is only mentioned in the previous clause.

Um.. ok, you can describe the way I'm reading "to vote for each" as "'to'
'vote for' 'each'".  [Or, as "'to vote' 'for each'".]

However, although my interpretation allows "to vote for each" to be taken
as "to vote differently for each", I still don't really understand...

Well, let me just ask you this:  Do you still think that my interpretation
of this clause is incorrect.  [Pretend I'm not a debian developer --
I'm asking if you still think that you have some valid criticism of that
interpretation of A.3(3).]

-- 
Raul


--  
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Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-08 Thread Anthony Towns

On Fri, Dec 08, 2000 at 01:04:42PM -0500, Raul Miller wrote:
 On Fri, Dec 08, 2000 at 04:52:38PM +1000, Anthony Towns wrote:
   Explain to me, again, why the first preference is no more important
   than the other preferences?
  You're mixing and matching what you apply the word "preference" to. The
  option ranked first is more important than the others because the voter
  has expressed that it's preferred to all the others. That is the following
  preferences are expressed:
  B  A
  B  S
  The option ranked second, however only gets:
  A  S
  But "A  S" counts just as much as "B  S" or "B  A". "A" however,
  doesn't count as much as "B", because, well, "B  A".
 I don't see that you can say "count as much" without assuming a counting
 methodology.  If you're going to use this argument as an argument for
 that methodology you're introducing a circular argument.
 The way I see it, first preference is more important to the voter than
 the other preferences because, well, the voter rated it as the first
 preference.

Again, you're mixing terms. What are you trying to say? That by being
ranked first, "B" should be treated as more important than "A"? Then, sure,
I agree, and I just explained how Condorcet schemes deal with that.

If you're trying to say that the preference "B is better than A" is much
more important than the preference "A is better than S", then I think you're
making things up as you go, and that they're not very good things either.

There are schemes that'll work that way. You could invert a Borda counting
method, for example, and get something that works that way. Condorcet,
however doesn't. The constitution doesn't, either.

 The way I see it, the second (etc.) preferences are only to be used when
 there's an ambiguity in the cumulative impact of the first preferences.

In which case you'd be wrong.

Please rate your preferences for the final form of the draft resolution:
  [ _ ] P
  [ _ ] P+A
  [ _ ] P+B
  [ _ ] P+A+B
  [ _ ] P+A+C
  [ _ ] P+B+C
  [ _ ] Further Discussion
   
Should P be the final form of the draft resolution, please rate your
preferences for its acceptance:
  [ _ ] Yes
  [ _ ] No
  [ _ ] Further Discussion
   
Should P+A be the fin...
(etc)
   This looks like one amendment ballot and six other ballots, one which
   would be a final ballot, and five which would be neither amendment
   ballots nor final ballots.  
  Not exactly. It's one amendment ballot and the final ballot repeated six
  times, one for each different form the final form of the draft resolution
  can take so that each voter can "vote differently in the final ballot
  for each of the possible forms of the final draft resolution".
 Eh?  You're saying this is a single final ballot?
 That's not one ballot, it's six.

It is the same ballot, repeated six times. Is that really difficult to
understand?

I'm also failing to see anything particularly unfair or worrying about it.

It's *exactly* equivalent to having N+1 separate ballots (spaced out
in time), except that it's quicker (and doesn't give people time to
change their minds between votes). Every outcome that's possible is
the same, each of the ballots listed is in a form exactly specified
in the constitution.  There's no ambiguities that have to be carefully
worked around.

   Also.. the constitution does specify that the user be able to vote
   differently in the final ballot for each of the forms of final draft
   resolution.  You're only allowing the user to vote on one form of the
   final draft resolution in the final ballot.
  
  *Oh*, is that how you're reading this?
  
  You seem to be saying that should be read as:
  
  ``In the final ballot, each voter must be able to vote for each of
the possible forms of the final draft resolution.''
  
  whereas I'm saying it should be read as, ummm:
  
  ``If the amendment and final ballots are combined, then there are
multiple forms of the final resolution that are possible. For
each of these, each voter must be able to express a *different*
preference for the options in the final vote (the Y/N/F one),
even though it won't be clear which of these preferences will
be used when the voter votes.''
  
  Can you see how I'm breaking that clause up to read it that way?
 To some degree.  Can you see that my interpretation is a whole lot
 simpler?

Not really. To make your interpretation work you have to:

* invent which options get included on the final ballot (since
  while to constitution explicitly describes what options are
  mean to be on every other ballot its possible to case, it
  somehow leaves this one out)

* treat the words "Yes" "No" and "Further Discussion" as variables
  rather than explicitly stated options present on the ballot

* treat the different language "ballot" and 

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-08 Thread Raul Miller
I'm chopping lots of stuff out here.

On Fri, Dec 08, 2000 at 01:53:50PM +1000, Anthony Towns wrote:
constitution, while a vote in favor of B is a vote in favor of not
modifying the constitution.
   This, however, doesn't make any sense. Again, there is no such thing
   as a vote that is simply for or against modifying the constitution,
   unless the vote simply has yes and no options.
  So, a vote which prefers A to B is a vote which prefers an option which
  modifies the constitution to an option which does not.  A vote which
  prefers B to A is a vote which prefers not modifying the constitution
  to an option which prefers modifying the constitution.
  Do you disagree with this statement?
 
 Yes. Take a single vote that ranks:
 
   [ 2 ] A (change the constitution)
   [ 1 ] B (do such and such, don't change the constitution)
   [ 3 ] S (don't change anything, including the constitution)
 
 You'll note that B is preferred to A: thus it's a vote which prefers not
 modifying the constitution.

Agreed.

 You'll note that A is preferred to S: thus it's a vote *for* modifying
 the constitution.

You'll note that this preference is secondary.

 So yes, I think that's an unhelpful distinction to try to make.

Explain to me, again, why the first preference is no more important
than the other preferences?

...chop, hack, slash...

 Conveniently, your options aren't independent enough to actually be
 decided in separate ballots in any fair way (at least as far as I
 can tell [0]).

Add in the missing option if that makes things work better.

 Please rate your preferences for the final form of the draft resolution:
   [ _ ] P
   [ _ ] P+A
   [ _ ] P+B
   [ _ ] P+A+B
   [ _ ] P+A+C
   [ _ ] P+B+C
   [ _ ] Further Discussion

 Should P be the final form of the draft resolution, please rate your
 preferences for its acceptance:
   [ _ ] Yes
   [ _ ] No
   [ _ ] Further Discussion

 Should P+A be the fin...
 (etc)

This looks like one amendment ballot and six other ballots, one which
would be a final ballot, and five which would be neither amendment
ballots nor final ballots.  I don't see anything in the constitution
which allows for these non-ballots.

Also.. the constitution does specify that the user be able to vote
differently in the final ballot for each of the forms of final draft
resolution.  You're only allowing the user to vote on one form of the
final draft resolution in the final ballot.

Thanks,

-- 
Raul



Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-08 Thread Anthony Towns
On Fri, Dec 08, 2000 at 01:22:07AM -0500, Raul Miller wrote:
  Yes. Take a single vote that ranks:
  [ 2 ] A (change the constitution)
  [ 1 ] B (do such and such, don't change the constitution)
  [ 3 ] S (don't change anything, including the constitution)
  You'll note that B is preferred to A: thus it's a vote which prefers not
  modifying the constitution.
 Agreed.
  You'll note that A is preferred to S: thus it's a vote *for* modifying
  the constitution.
 You'll note that this preference is secondary.

No, actually I won't.

  So yes, I think that's an unhelpful distinction to try to make.
 Explain to me, again, why the first preference is no more important
 than the other preferences?

You're mixing and matching what you apply the word preference to. The
option ranked first is more important than the others because the voter
has expressed that it's preferred to all the others. That is the following
preferences are expressed:

B  A
B  S

The option ranked second, however only gets:

A  S

But A  S counts just as much as B  S or B  A. A however,
doesn't count as much as B, because, well, B  A.

  Conveniently, your options aren't independent enough to actually be
  decided in separate ballots in any fair way (at least as far as I
  can tell [0]).
 Add in the missing option if that makes things work better.

It makes them more complicated, so I'll avoid it unless you make me,
just like I tried avoiding having independent options...

  Please rate your preferences for the final form of the draft resolution:
[ _ ] P
[ _ ] P+A
[ _ ] P+B
[ _ ] P+A+B
[ _ ] P+A+C
[ _ ] P+B+C
[ _ ] Further Discussion
 
  Should P be the final form of the draft resolution, please rate your
  preferences for its acceptance:
[ _ ] Yes
[ _ ] No
[ _ ] Further Discussion
 
  Should P+A be the fin...
  (etc)
 This looks like one amendment ballot and six other ballots, one which
 would be a final ballot, and five which would be neither amendment
 ballots nor final ballots.  

Not exactly. It's one amendment ballot and the final ballot repeated six
times, one for each different form the final form of the draft resolution
can take so that each voter can vote differently in the final ballot
for each of the possible forms of the final draft resolution.

 Also.. the constitution does specify that the user be able to vote
 differently in the final ballot for each of the forms of final draft
 resolution.  You're only allowing the user to vote on one form of the
 final draft resolution in the final ballot.

*Oh*, is that how you're reading this?

You seem to be saying that should be read as:

``In the final ballot, each voter must be able to vote for each of
  the possible forms of the final draft resolution.''

whereas I'm saying it should be read as, ummm:

``If the amendment and final ballots are combined, then there are
  multiple forms of the final resolution that are possible. For
  each of these, each voter must be able to express a *different*
  preference for the options in the final vote (the Y/N/F one),
  even though it won't be clear which of these preferences will
  be used when the voter votes.''

Can you see how I'm breaking that clause up to read it that way?

You seem to be joing the ``to vote'' with the ``for each'' to make it
``to vote for'', while I'm treating ``vote differently'' to stand alone,
and the ``for each'' to mean they get to ``vote'' many times, each of
which may well be ``different'', and what you're voting for or against
is only mentioned in the previous clause.

Cheers,
a ``it's a vase, you moron!'' j

-- 
Anthony Towns [EMAIL PROTECTED] http://azure.humbug.org.au/~aj/
I don't speak for anyone save myself. GPG signed mail preferred.

 ``Thanks to all avid pokers out there''
   -- linux.conf.au, 17-20 January 2001


pgpsb9buiFYjr.pgp
Description: PGP signature


Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-08 Thread Raul Miller
On Fri, Dec 08, 2000 at 04:52:38PM +1000, Anthony Towns wrote:
  Explain to me, again, why the first preference is no more important
  than the other preferences?
 
 You're mixing and matching what you apply the word preference to. The
 option ranked first is more important than the others because the voter
 has expressed that it's preferred to all the others. That is the following
 preferences are expressed:
 
   B  A
   B  S
 
 The option ranked second, however only gets:
 
   A  S
 
 But A  S counts just as much as B  S or B  A. A however,
 doesn't count as much as B, because, well, B  A.

I don't see that you can say count as much without assuming a counting
methodology.  If you're going to use this argument as an argument for
that methodology you're introducing a circular argument.

The way I see it, first preference is more important to the voter than
the other preferences because, well, the voter rated it as the first
preference.

Introducing a bunch of symbols then saying well, no, it's not doesn't
add any information.

I can accept that, in your opinion, the relationships introduced by the
voter's second preference are just as important to the outcome of the
vote as the relationships introduced by the voter's first preference.

The way I see it, the second (etc.) preferences are only to be used when
there's an ambiguity in the cumulative impact of the first preferences.

I'll add: in most cases, these opinions (yours and mine) yield equivalent
results.

   Please rate your preferences for the final form of the draft resolution:
 [ _ ] P
 [ _ ] P+A
 [ _ ] P+B
 [ _ ] P+A+B
 [ _ ] P+A+C
 [ _ ] P+B+C
 [ _ ] Further Discussion
  
   Should P be the final form of the draft resolution, please rate your
   preferences for its acceptance:
 [ _ ] Yes
 [ _ ] No
 [ _ ] Further Discussion
  
   Should P+A be the fin...
   (etc)
  This looks like one amendment ballot and six other ballots, one which
  would be a final ballot, and five which would be neither amendment
  ballots nor final ballots.  
 
 Not exactly. It's one amendment ballot and the final ballot repeated six
 times, one for each different form the final form of the draft resolution
 can take so that each voter can vote differently in the final ballot
 for each of the possible forms of the final draft resolution.

Eh?  You're saying this is a single final ballot?

That's not one ballot, it's six.

  Also.. the constitution does specify that the user be able to vote
  differently in the final ballot for each of the forms of final draft
  resolution.  You're only allowing the user to vote on one form of the
  final draft resolution in the final ballot.
 
 *Oh*, is that how you're reading this?
 
 You seem to be saying that should be read as:
 
   ``In the final ballot, each voter must be able to vote for each of
 the possible forms of the final draft resolution.''
 
 whereas I'm saying it should be read as, ummm:
 
   ``If the amendment and final ballots are combined, then there are
 multiple forms of the final resolution that are possible. For
 each of these, each voter must be able to express a *different*
 preference for the options in the final vote (the Y/N/F one),
 even though it won't be clear which of these preferences will
 be used when the voter votes.''
 
 Can you see how I'm breaking that clause up to read it that way?

To some degree.  Can you see that my interpretation is a whole lot
simpler?

[To me, my interpretation seems a whole lot less convoluted than this
business of It's one final ballot if you squint your eyes this way,
even though it's six ballots if you look at it with your eyes wide open.]

 You seem to be joing the ``to vote'' with the ``for each'' to make
 it ``to vote for'', while I'm treating ``vote differently'' to stand
 alone, and the ``for each'' to mean they get to ``vote'' many times,
 each of which may well be ``different'', and what you're voting for or
 against is only mentioned in the previous clause.

Um.. ok, you can describe the way I'm reading to vote for each as 'to'
'vote for' 'each'.  [Or, as 'to vote' 'for each'.]

However, although my interpretation allows to vote for each to be taken
as to vote differently for each, I still don't really understand...

Well, let me just ask you this:  Do you still think that my interpretation
of this clause is incorrect.  [Pretend I'm not a debian developer --
I'm asking if you still think that you have some valid criticism of that
interpretation of A.3(3).]

-- 
Raul



Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-08 Thread Anthony Towns
On Fri, Dec 08, 2000 at 01:04:42PM -0500, Raul Miller wrote:
 On Fri, Dec 08, 2000 at 04:52:38PM +1000, Anthony Towns wrote:
   Explain to me, again, why the first preference is no more important
   than the other preferences?
  You're mixing and matching what you apply the word preference to. The
  option ranked first is more important than the others because the voter
  has expressed that it's preferred to all the others. That is the following
  preferences are expressed:
  B  A
  B  S
  The option ranked second, however only gets:
  A  S
  But A  S counts just as much as B  S or B  A. A however,
  doesn't count as much as B, because, well, B  A.
 I don't see that you can say count as much without assuming a counting
 methodology.  If you're going to use this argument as an argument for
 that methodology you're introducing a circular argument.
 The way I see it, first preference is more important to the voter than
 the other preferences because, well, the voter rated it as the first
 preference.

Again, you're mixing terms. What are you trying to say? That by being
ranked first, B should be treated as more important than A? Then, sure,
I agree, and I just explained how Condorcet schemes deal with that.

If you're trying to say that the preference B is better than A is much
more important than the preference A is better than S, then I think you're
making things up as you go, and that they're not very good things either.

There are schemes that'll work that way. You could invert a Borda counting
method, for example, and get something that works that way. Condorcet,
however doesn't. The constitution doesn't, either.

 The way I see it, the second (etc.) preferences are only to be used when
 there's an ambiguity in the cumulative impact of the first preferences.

In which case you'd be wrong.

Please rate your preferences for the final form of the draft resolution:
  [ _ ] P
  [ _ ] P+A
  [ _ ] P+B
  [ _ ] P+A+B
  [ _ ] P+A+C
  [ _ ] P+B+C
  [ _ ] Further Discussion
   
Should P be the final form of the draft resolution, please rate your
preferences for its acceptance:
  [ _ ] Yes
  [ _ ] No
  [ _ ] Further Discussion
   
Should P+A be the fin...
(etc)
   This looks like one amendment ballot and six other ballots, one which
   would be a final ballot, and five which would be neither amendment
   ballots nor final ballots.  
  Not exactly. It's one amendment ballot and the final ballot repeated six
  times, one for each different form the final form of the draft resolution
  can take so that each voter can vote differently in the final ballot
  for each of the possible forms of the final draft resolution.
 Eh?  You're saying this is a single final ballot?
 That's not one ballot, it's six.

It is the same ballot, repeated six times. Is that really difficult to
understand?

I'm also failing to see anything particularly unfair or worrying about it.

It's *exactly* equivalent to having N+1 separate ballots (spaced out
in time), except that it's quicker (and doesn't give people time to
change their minds between votes). Every outcome that's possible is
the same, each of the ballots listed is in a form exactly specified
in the constitution.  There's no ambiguities that have to be carefully
worked around.

   Also.. the constitution does specify that the user be able to vote
   differently in the final ballot for each of the forms of final draft
   resolution.  You're only allowing the user to vote on one form of the
   final draft resolution in the final ballot.
  
  *Oh*, is that how you're reading this?
  
  You seem to be saying that should be read as:
  
  ``In the final ballot, each voter must be able to vote for each of
the possible forms of the final draft resolution.''
  
  whereas I'm saying it should be read as, ummm:
  
  ``If the amendment and final ballots are combined, then there are
multiple forms of the final resolution that are possible. For
each of these, each voter must be able to express a *different*
preference for the options in the final vote (the Y/N/F one),
even though it won't be clear which of these preferences will
be used when the voter votes.''
  
  Can you see how I'm breaking that clause up to read it that way?
 To some degree.  Can you see that my interpretation is a whole lot
 simpler?

Not really. To make your interpretation work you have to:

* invent which options get included on the final ballot (since
  while to constitution explicitly describes what options are
  mean to be on every other ballot its possible to case, it
  somehow leaves this one out)

* treat the words Yes No and Further Discussion as variables
  rather than explicitly stated options present on the ballot

* treat the different language ballot and single voting message
  as though 

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-08 Thread Anthony Towns
On Fri, Dec 08, 2000 at 01:53:50PM +1000, Anthony Towns wrote:
 On Thu, Dec 07, 2000 at 04:48:48PM -0500, Raul Miller wrote:
 * What to require for an option to meet quorum
   (working assumption: count the number of votes that mention
the option, and compare against quorum)
 This is just flat out wrong, the working assumption we had was count
 the number of votes that rate the option above the default, and compare
 against quorum.

(For reference, yes, I did realise I was abusing myself there)

  Supermajority is a mechanism for saying, in my opinion:
  don't change this if you've got another reasonable option.
 Well, no, it's not.
 What would possibly convince you otherwise? General usage of the
 term? You seemed disinclined to care when I asked for other examples of
 this interpretation. That the alternative is more expressive? That the
 alternative is less biassed? A straw poll on this list? Anything at all?

I really would like an answer to that. What would it take to convince
you otherwise?  What arguments would be worth presenting?

Some things you could probably do to convince me otherwise would be:

* list a number of other places where your interpretation
  has been used over mine

* show how your system was less biassed than mine, or how the
  additional biasses are actually clearly beneficial

* have a vote, and have a majority of developers prefer your
  interpretation over mine

Cheers,
aj

-- 
Anthony Towns [EMAIL PROTECTED] http://azure.humbug.org.au/~aj/
I don't speak for anyone save myself. GPG signed mail preferred.

 ``Thanks to all avid pokers out there''
   -- linux.conf.au, 17-20 January 2001


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Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-07 Thread Anthony Towns

On Thu, Dec 07, 2000 at 12:45:24AM -0500, Raul Miller wrote:

[Status-quo versus Further Discussion and No]
 I still maintain there's a difference (because the intent of the
 developers is more obvious), but you're right about the minimum discussion
 period.

Okay, let's ignore what I've said previously about introducing more facets
and go into this a little deeper.

In our past votes, we've variously had:

Constituion: Yes/No/Further Discussion
Election 1: [nominees] + None of the above
Logo License: Single/Dual/Further Discussion
New Logo: [submissions, including current logo] + Further Discussion
Swap Logo: For/Against/Further Discussion
Election 2: [nominees] + Further Discussion

and in our current pending vote we've currently got two ways of modifying
the constitution, and further discussion (with no "No" option at all).

Note, for example, that after the new logo vote, even though further
discussion didn't win, we were quite happy to continue discussing the
matter and change the logo a bit (although it probably would've been
easier to just include the swapped swirl in the "New Logo" vote).

So given that in the past we've not really had any benefit from the
distinct options (and often haven't even bothered having distinct
options), and that it doesn't make any actual difference in the result
(if enough interested people want to keep discussing the matter and make
a new proposal, they can; if no one's interested in discussing more,
they don'thave) I really don't see any benefit in having separate options.

For reference, the things I can think of that need
fixing/disambiguating/discussing/whatever:

* How to resolve the vote when you don't have a Condorcet winner
  (working assumption: find the Smith set and apply STV to it)

* How to conduct a vote in a single ballot, as simply and fairly
  as possible
  (working assumption for votes where there are no independent
   options: allow voters to rank each option as well as either
   Status-Quo, or (Further Discussion and No))

* What to require for an option to meet quorum
  (working assumption: count the number of votes that mention
   the option, and compare against quorum)

* What to require of an option for it to meet a supermajority
  requirement

* How to formulate a ballot / set of ballots to decide amongst
  related but independent options

* Whether to use a single Status-quo option or both Further
  discussion and No on each vote (or what).

  This isn't entirely ideal: it'll select the status-quo more
  often than is probably desirable, but otherwise it's fairly
  expressive, and doesn't weight any preferences any more than
  others wherever possible.
 I presume, here, you're talking about the case where we're
 picking between an option with a supermajority requirement and a
 case where we're not. And, I presume that a bias towards options
 with supermajority requirements is something that you don't
 really care about.
_Huh_?! Where did that come from?
The only biasses in the above are towards options that pairwise
beat other options, and towards the status-quo options (in the
event others don't meet their supermajority requirements).
   Supermajority options which don't meet supermajority requirement but
   do meet a lesser majority requirement will (by definition) pairwise
   beat other options [which don't have that requirement].

Let me start from the top, perhaps.

There's no such "majority requirement", though, per se. This is why I avoided
answering when you asked this before. Instead, preference for majority support
is just handled by how you count votes. For example, if you have a vote:

30 ABC
35 BCA
40 CAB

then none of these options meet its majority wrt *all* other options
(75/105 people prefer C over A, 70/105 people prefer A over B, and 65/105
people prefer B over C). But we choose a winner anyway by using STV
(A disappears, and B wins with 65/105 votes).

What you could end up with (using my scheme) is a vote that goes
something like:

60 ABS
40 BSA

where A requires 3:1 supermajority. You get:

A dominates B 60 to 40
B dominates S 100 to 0
S dominates A 40 to 20 (reduced 3:1)

which would be a circular tie. For the moment, I'm just declaring that S
(the Status-quo) wins (by claiming S wins whenever it's in the Smith set),
but it would also be possible (and probably reasonable) to make B win (by
having dropped A for not meeting its supermajority right at the start).

Now, if we go back to:

 [...] And, I presume that a bias towards options
 with supermajority requirements is something that you don't
 really care about.

then I'm afraid I still don't know what you're talking about. There's no
way of voting that would have an 

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-07 Thread Matthew Woodcraft

Anthony Towns [EMAIL PROTECTED] writes:

 In our past votes, we've variously had:
 
   Constituion: Yes/No/Further Discussion
   Election 1: [nominees] + None of the above
   Logo License: Single/Dual/Further Discussion
   New Logo: [submissions, including current logo] + Further
Discussion
   Swap Logo: For/Against/Further Discussion
   Election 2: [nominees] + Further Discussion

Note that the two elections aren't strictly relevant - they're conducted
under 'Concorde Vote Counting', but not under the Standard Resolution
Procedure (5.2.7).


 What I'm trying to do is say that the best interpretation of
 "supermajority" is to only use it when comparing an option requiring a
 supermajority and an option that changes absolutely *nothing*.
 
I think this is something about which reasonable people can
disagree. Your way (effectively weighting the 'status quo' option or
options up) seems to be closer to the way the constitution works at
present: I read A.3.1-3 the same way as you do, so for

60 ABS
40 BAS, 

with A but not B requiring a change to the constitution, A wins the
'amendment ballot', and defeats S (or maybe N and F) in the 'final
ballot'. Fair enough.


The alternative way (effectively weighting the supermajority-requiring
options down) is similar to a system in which all proposals which do not
involve amending the constitution are voted on first, and attempts to
modify the constitution only get their chance afterwards. This also
seems reasonable to me.


Consider that there might be an existing 'party' which wishes to make an
amendment to the constitution, and that it has a majority of voters
on-side, but does not have the requisite supermajority. It would not
normally be able to do so.

Now imagine that some problem arises, which would be solved by the
consitutional amendment in question, and can also be solved in another
way. Everyone agrees that the problem should be solved, and that either
solution is better than the status quo.

Now, if a member of the first 'party' proposes their constitutional
change as a solution to the problem, and one of their opponents proposes
an amendment to solve it the other way, if everyone votes honestly the
constitution will be changed.

It's not clear to me that this is a good result; it seems that the
existence of a single problem which would be fixed by a constitutional
amendment can be leveraged to change the constitution without requiring
a supermajority.

(Well, more likely if everyone knows what's going on then the voters who
do not wish the constitution to be changed will dishonestly put status
quo ahead of the constitutional change, and the result will be a problem
which doesn't get fixed - also a Bad Thing.)

-M-


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Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-07 Thread Anthony Towns

On Thu, Dec 07, 2000 at 04:48:48PM -0500, Raul Miller wrote:
  * What to require for an option to meet quorum
(working assumption: count the number of votes that mention
 the option, and compare against quorum)

This is just flat out wrong, the working assumption we had was count
the number of votes that rate the option above the default, and compare
against quorum.

  Let me start from the top, perhaps.
  There's no such "majority requirement", though, per se. This is why I
  avoided answering when you asked this before.
 The constitution doesn't use the word "majority" except when it requires
 other than a simple majority.  However, it's clear that the concept of
 majority (the greater number) is a way of contrasting the winning vote
 to the nonwinning votes.

Sure, "the greatest good for the greatest number" is the whole point
behind voting.

That's one of the things that encourages an unbiassed voting system: if
you're going to say that:

60 AB
40 BA

should be a win for A because most people prefer it, you should also be
saying:

60 BA
40 AB

should be a win for B, for the exact same reason.

 I'll agree that it's possible to invent supermajority concepts which
 are different than those described in the constitution.

Indeed, and, IMO and by my reading, this is exactly what you're doing.

Can we possible skip the attempts to claw the moral high ground from
each other with "you can't read!! this obviously doesn't mean that!!"?

   I'll agree that quorum biases against any change (when there aren't
   enough voters). I'll also note, here, that quorum is different from
   supermajority.
  Right. I'm using "bias" as a general term to analyse the effects of
  any extra requirements we might add beyond just saying `take the Smith
  set, apply STV'.
 Ok.  I'll take "a general term" as meaning "doesn't have any particular
 negative connotation".  Which means that the absence of bias isn't 
 a positive feature without some further rationale.

This isn't quite accurate. Biasses aren't *necessarily* bad, but they
do need a good justification.

   constitution, while a vote in favor of B is a vote in favor of not
   modifying the constitution.
  This, however, doesn't make any sense. Again, there is no such thing
  as a vote that is simply "for" or "against" modifying the constitution,
  unless the vote simply has "yes" and "no" options.
 So, a vote which prefers A to B is a vote which prefers an option which
 modifies the constitution to an option which does not.  A vote which
 prefers B to A is a vote which prefers not modifying the constitution
 to an option which prefers modifying the constitution.
 Do you disagree with this statement?

Yes. Take a single vote that ranks:

[ 2 ] A (change the constitution)
[ 1 ] B (do such and such, don't change the constitution)
[ 3 ] S (don't change anything, including the constitution)

You'll note that B is preferred to A: thus it's a vote which prefers not
modifying the constitution.

You'll note that A is preferred to S: thus it's a vote *for* modifying
the constitution.

So yes, I think that's an unhelpful distinction to try to make.

  So no, I don't accept the implication that a vote where X isn't your
  first preference should be considered a vote "against" X.
 This sounds like you're try to get around the language of A.6(7).
 In the end, there can be only one.

Yeah, well, good for A.6(7).

If it agrees with you (and I personally think it doesn't) it's wrong too.

  Because it can represent the preferences of a voter who thinks "Well,
  changing the constitution (A, say) is a bit drastic, but we should
  move in this direction; so ideally I'd rather the compromise (B),
  but I don't mind if we go all out", because he could vote "BAS",
  and a voter who thinks (like you apparently might) "Changing the
  constitution is too drastic, we have a compromise, we have to use that
  instead" could express that by saying "BSA", and someone who'd rather
  go all out, but will accept the compromise if necessary can express
  *that* by voting "ABS".
 And, what about the voter who thinks:  "Well, I don't think that a
 solution which modifies the constitution is the right solution, but this
 is a real problem, and it's better than nothing."?

Then if they've got a better solution they (or someone else) probably already
proposed it and they can vote for that.

The only thing you can't express in my way that you can in yours is
`My opinion is worth three times anyone else's, and modifying the
constitution to say foo is much much worse than doing bar'.

Note that biassing everything over A isn't the only way of handling a
supermajority (and isn't even a common or usual way --- you're welcome
to cite one other instance of _anyone_ doing it this way, though),
you can simply require a supermajority of people preferring A to the
status-quo (by literally having a "Status-quo" option, or by 

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-07 Thread Anthony Towns

On Thu, Dec 07, 2000 at 09:42:57PM +, Matthew Woodcraft wrote:
 Note that the two elections aren't strictly relevant - they're conducted
 under 'Concorde Vote Counting', but not under the Standard Resolution
 Procedure (5.2.7).

Ahh, so they are.

 Consider that there might be an existing 'party' which wishes to make an
 amendment to the constitution, and that it has a majority of voters
 on-side, but does not have the requisite supermajority. It would not
 normally be able to do so.
 
 Now imagine that some problem arises, which would be solved by the
 consitutional amendment in question, and can also be solved in another
 way. Everyone agrees that the problem should be solved, and that either
 solution is better than the status quo.

Then, suddenly, they've gotten their supermajority. Presumably the only
reason there weren't enough supporters for the plan in the first place
was because they didn't see a need for it; thus now that they do see a
need, they support it.

 Now, if a member of the first 'party' proposes their constitutional
 change as a solution to the problem, and one of their opponents proposes
 an amendment to solve it the other way, if everyone votes honestly the
 constitution will be changed.

Under my system, or under the N+1 system, at any rate.

 It's not clear to me that this is a good result; it seems that the
 existence of a single problem which would be fixed by a constitutional
 amendment can be leveraged to change the constitution without requiring
 a supermajority.

I doubt that.

In that example, if that constitutional change *wasn't* necessary to
resolve it (ie, there's a sensible, productive, non-constitutional way
of resolving it), I'd expect the majority of voters to vote for that
way as their first preference.

OTOH, if the non-constitutional change was just a work around and a
kludge (for example, blocking future uploads to non-free, and changing
the requirements for a bug against a non-free package to be considered
"release-critical", in the hopes that non-free will disappear without
violating the letter of the social contract, say), I'd expect developers
to vote for the cleaner solution.

Furthermore, if the constitutional amendment isn't a minimal change that
suffices to fix the identified problems and has a significant bloc of
opposition, then I'd expect a new constitutional amendment to be proposed
that _is_ a minimal change, that people can vote for instead.

 (Well, more likely if everyone knows what's going on then the voters who
 do not wish the constitution to be changed will dishonestly put status
 quo ahead of the constitutional change, and the result will be a problem
 which doesn't get fixed - also a Bad Thing.)

Well, if they really would rather pervert the vote so that nothing's
resolved than vote for the change to the constitution there's nothing
insincere about them ranking further discussion/status quo above the
constitutional amendment: that's what they're trying to achieve, after
all. In which case they're not really perverting the vote, either.

Cheers,
aj

-- 
Anthony Towns [EMAIL PROTECTED] http://azure.humbug.org.au/~aj/
I don't speak for anyone save myself. GPG signed mail preferred.

 ``Thanks to all avid pokers out there''
   -- linux.conf.au, 17-20 January 2001

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Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-07 Thread Anthony Towns

On Fri, Dec 08, 2000 at 01:22:07AM -0500, Raul Miller wrote:
  Yes. Take a single vote that ranks:
  [ 2 ] A (change the constitution)
  [ 1 ] B (do such and such, don't change the constitution)
  [ 3 ] S (don't change anything, including the constitution)
  You'll note that B is preferred to A: thus it's a vote which prefers not
  modifying the constitution.
 Agreed.
  You'll note that A is preferred to S: thus it's a vote *for* modifying
  the constitution.
 You'll note that this preference is secondary.

No, actually I won't.

  So yes, I think that's an unhelpful distinction to try to make.
 Explain to me, again, why the first preference is no more important
 than the other preferences?

You're mixing and matching what you apply the word "preference" to. The
option ranked first is more important than the others because the voter
has expressed that it's preferred to all the others. That is the following
preferences are expressed:

B  A
B  S

The option ranked second, however only gets:

A  S

But "A  S" counts just as much as "B  S" or "B  A". "A" however,
doesn't count as much as "B", because, well, "B  A".

  Conveniently, your options aren't independent enough to actually be
  decided in separate ballots in any fair way (at least as far as I
  can tell [0]).
 Add in the missing option if that makes things work better.

It makes them more complicated, so I'll avoid it unless you make me,
just like I tried avoiding having independent options...

  Please rate your preferences for the final form of the draft resolution:
[ _ ] P
[ _ ] P+A
[ _ ] P+B
[ _ ] P+A+B
[ _ ] P+A+C
[ _ ] P+B+C
[ _ ] Further Discussion
 
  Should P be the final form of the draft resolution, please rate your
  preferences for its acceptance:
[ _ ] Yes
[ _ ] No
[ _ ] Further Discussion
 
  Should P+A be the fin...
  (etc)
 This looks like one amendment ballot and six other ballots, one which
 would be a final ballot, and five which would be neither amendment
 ballots nor final ballots.  

Not exactly. It's one amendment ballot and the final ballot repeated six
times, one for each different form the final form of the draft resolution
can take so that each voter can "vote differently in the final ballot
for each of the possible forms of the final draft resolution".

 Also.. the constitution does specify that the user be able to vote
 differently in the final ballot for each of the forms of final draft
 resolution.  You're only allowing the user to vote on one form of the
 final draft resolution in the final ballot.

*Oh*, is that how you're reading this?

You seem to be saying that should be read as:

``In the final ballot, each voter must be able to vote for each of
  the possible forms of the final draft resolution.''

whereas I'm saying it should be read as, ummm:

``If the amendment and final ballots are combined, then there are
  multiple forms of the final resolution that are possible. For
  each of these, each voter must be able to express a *different*
  preference for the options in the final vote (the Y/N/F one),
  even though it won't be clear which of these preferences will
  be used when the voter votes.''

Can you see how I'm breaking that clause up to read it that way?

You seem to be joing the ``to vote'' with the ``for each'' to make it
``to vote for'', while I'm treating ``vote differently'' to stand alone,
and the ``for each'' to mean they get to ``vote'' many times, each of
which may well be ``different'', and what you're voting for or against
is only mentioned in the previous clause.

Cheers,
a ``it's a vase, you moron!'' j

-- 
Anthony Towns [EMAIL PROTECTED] http://azure.humbug.org.au/~aj/
I don't speak for anyone save myself. GPG signed mail preferred.

 ``Thanks to all avid pokers out there''
   -- linux.conf.au, 17-20 January 2001

 PGP signature


Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-07 Thread Anthony Towns
On Thu, Dec 07, 2000 at 12:45:24AM -0500, Raul Miller wrote:

[Status-quo versus Further Discussion and No]
 I still maintain there's a difference (because the intent of the
 developers is more obvious), but you're right about the minimum discussion
 period.

Okay, let's ignore what I've said previously about introducing more facets
and go into this a little deeper.

In our past votes, we've variously had:

Constituion: Yes/No/Further Discussion
Election 1: [nominees] + None of the above
Logo License: Single/Dual/Further Discussion
New Logo: [submissions, including current logo] + Further Discussion
Swap Logo: For/Against/Further Discussion
Election 2: [nominees] + Further Discussion

and in our current pending vote we've currently got two ways of modifying
the constitution, and further discussion (with no No option at all).

Note, for example, that after the new logo vote, even though further
discussion didn't win, we were quite happy to continue discussing the
matter and change the logo a bit (although it probably would've been
easier to just include the swapped swirl in the New Logo vote).

So given that in the past we've not really had any benefit from the
distinct options (and often haven't even bothered having distinct
options), and that it doesn't make any actual difference in the result
(if enough interested people want to keep discussing the matter and make
a new proposal, they can; if no one's interested in discussing more,
they don'thave) I really don't see any benefit in having separate options.

For reference, the things I can think of that need
fixing/disambiguating/discussing/whatever:

* How to resolve the vote when you don't have a Condorcet winner
  (working assumption: find the Smith set and apply STV to it)

* How to conduct a vote in a single ballot, as simply and fairly
  as possible
  (working assumption for votes where there are no independent
   options: allow voters to rank each option as well as either
   Status-Quo, or (Further Discussion and No))

* What to require for an option to meet quorum
  (working assumption: count the number of votes that mention
   the option, and compare against quorum)

* What to require of an option for it to meet a supermajority
  requirement

* How to formulate a ballot / set of ballots to decide amongst
  related but independent options

* Whether to use a single Status-quo option or both Further
  discussion and No on each vote (or what).

  This isn't entirely ideal: it'll select the status-quo more
  often than is probably desirable, but otherwise it's fairly
  expressive, and doesn't weight any preferences any more than
  others wherever possible.
 I presume, here, you're talking about the case where we're
 picking between an option with a supermajority requirement and a
 case where we're not. And, I presume that a bias towards options
 with supermajority requirements is something that you don't
 really care about.
_Huh_?! Where did that come from?
The only biasses in the above are towards options that pairwise
beat other options, and towards the status-quo options (in the
event others don't meet their supermajority requirements).
   Supermajority options which don't meet supermajority requirement but
   do meet a lesser majority requirement will (by definition) pairwise
   beat other options [which don't have that requirement].

Let me start from the top, perhaps.

There's no such majority requirement, though, per se. This is why I avoided
answering when you asked this before. Instead, preference for majority support
is just handled by how you count votes. For example, if you have a vote:

30 ABC
35 BCA
40 CAB

then none of these options meet its majority wrt *all* other options
(75/105 people prefer C over A, 70/105 people prefer A over B, and 65/105
people prefer B over C). But we choose a winner anyway by using STV
(A disappears, and B wins with 65/105 votes).

What you could end up with (using my scheme) is a vote that goes
something like:

60 ABS
40 BSA

where A requires 3:1 supermajority. You get:

A dominates B 60 to 40
B dominates S 100 to 0
S dominates A 40 to 20 (reduced 3:1)

which would be a circular tie. For the moment, I'm just declaring that S
(the Status-quo) wins (by claiming S wins whenever it's in the Smith set),
but it would also be possible (and probably reasonable) to make B win (by
having dropped A for not meeting its supermajority right at the start).

Now, if we go back to:

 [...] And, I presume that a bias towards options
 with supermajority requirements is something that you don't
 really care about.

then I'm afraid I still don't know what you're talking about. There's no
way of voting that would have an option 

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-07 Thread Matthew Woodcraft
Anthony Towns aj@azure.humbug.org.au writes:

 In our past votes, we've variously had:
 
   Constituion: Yes/No/Further Discussion
   Election 1: [nominees] + None of the above
   Logo License: Single/Dual/Further Discussion
   New Logo: [submissions, including current logo] + Further
Discussion
   Swap Logo: For/Against/Further Discussion
   Election 2: [nominees] + Further Discussion

Note that the two elections aren't strictly relevant - they're conducted
under 'Concorde Vote Counting', but not under the Standard Resolution
Procedure (5.2.7).


 What I'm trying to do is say that the best interpretation of
 supermajority is to only use it when comparing an option requiring a
 supermajority and an option that changes absolutely *nothing*.
 
I think this is something about which reasonable people can
disagree. Your way (effectively weighting the 'status quo' option or
options up) seems to be closer to the way the constitution works at
present: I read A.3.1-3 the same way as you do, so for

60 ABS
40 BAS, 

with A but not B requiring a change to the constitution, A wins the
'amendment ballot', and defeats S (or maybe N and F) in the 'final
ballot'. Fair enough.


The alternative way (effectively weighting the supermajority-requiring
options down) is similar to a system in which all proposals which do not
involve amending the constitution are voted on first, and attempts to
modify the constitution only get their chance afterwards. This also
seems reasonable to me.


Consider that there might be an existing 'party' which wishes to make an
amendment to the constitution, and that it has a majority of voters
on-side, but does not have the requisite supermajority. It would not
normally be able to do so.

Now imagine that some problem arises, which would be solved by the
consitutional amendment in question, and can also be solved in another
way. Everyone agrees that the problem should be solved, and that either
solution is better than the status quo.

Now, if a member of the first 'party' proposes their constitutional
change as a solution to the problem, and one of their opponents proposes
an amendment to solve it the other way, if everyone votes honestly the
constitution will be changed.

It's not clear to me that this is a good result; it seems that the
existence of a single problem which would be fixed by a constitutional
amendment can be leveraged to change the constitution without requiring
a supermajority.

(Well, more likely if everyone knows what's going on then the voters who
do not wish the constitution to be changed will dishonestly put status
quo ahead of the constitutional change, and the result will be a problem
which doesn't get fixed - also a Bad Thing.)

-M-



Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-07 Thread Raul Miller
On Thu, Dec 07, 2000 at 06:31:41PM +1000, Anthony Towns wrote:
 In our past votes, we've variously had:
 
   Constituion: Yes/No/Further Discussion
   Election 1: [nominees] + None of the above
   Logo License: Single/Dual/Further Discussion
   New Logo: [submissions, including current logo] + Further Discussion
   Swap Logo: For/Against/Further Discussion
   Election 2: [nominees] + Further Discussion
 
 and in our current pending vote we've currently got two ways of
 modifying the constitution, and further discussion (with no No
 option at all).

Ok.

 Note, for example, that after the new logo vote, even though further
 discussion didn't win, we were quite happy to continue discussing the
 matter and change the logo a bit (although it probably would've been
 easier to just include the swapped swirl in the New Logo vote).

Ok -- but note that we did not revisit the Single/Dual issue.

 So given that in the past we've not really had any benefit from the
 distinct options (and often haven't even bothered having distinct
 options), and that it doesn't make any actual difference in the
 result (if enough interested people want to keep discussing the
 matter and make a new proposal, they can; if no one's interested in
 discussing more, they don'thave) I really don't see any benefit in
 having separate options.

I think that further discussion, in that case, would have implied
some kind of rehash of the Single/Dual vote -- presumably with some
additional option(s).  I think that Neither would have meant that
we needed to pick some completely different logo -- that we shouldn't
bother looking at those two again.

Do you agree that these would have been distinct results.  [Please
note that I agree that these results were not the outcome of that
vote.  I am talking about hypothetical situations here.]

 For reference, the things I can think of that need
 fixing/disambiguating/discussing/whatever:
 
   * How to resolve the vote when you don't have a Condorcet winner
 (working assumption: find the Smith set and apply STV to it)

Ok.  I'm worried about this one, too.

   * How to conduct a vote in a single ballot, as simply and fairly
 as possible
 (working assumption for votes where there are no independent
  options: allow voters to rank each option as well as either
  Status-Quo, or (Further Discussion and No))

Ok.  I think we need to agree on what option should mean.

   * What to require for an option to meet quorum
 (working assumption: count the number of votes that mention
  the option, and compare against quorum)

Ok.  I'll note that this conflicts with my interpretation of the
constitution [which talks about votes which prefer the winning option to
the default option].  I think the ambiguity here comes from the ignore
references to that option language which is used to determine the winner.
I understand that you want to continue ignoring references to the default
option even after the winner has been selected.

   * What to require of an option for it to meet a supermajority
 requirement

We sure seem to be having a problem reaching any kind of agreement on
this one.

   * How to formulate a ballot / set of ballots to decide amongst
 related but independent options

More specifically, how to formulate a voting message for this case
which combines amendment votes with the final vote.

   * Whether to use a single Status-quo option or both Further
 discussion and No on each vote (or what).

This seems more of a discuss than a disambiguate issue.

 Let me start from the top, perhaps.
 
 There's no such majority requirement, though, per se. This is why I
 avoided answering when you asked this before.

The constitution doesn't use the word majority except when it requires
other than a simple majority.  However, it's clear that the concept of
majority (the greater number) is a way of contrasting the winning vote
to the nonwinning votes.

 Instead, preference for majority support is just handled by how you
 count votes. For example, if you have a vote:
 
   30 ABC
   35 BCA
   40 CAB
 
 then none of these options meet its majority wrt *all* other options
 (75/105 people prefer C over A, 70/105 people prefer A over B, and 65/105
 people prefer B over C). But we choose a winner anyway by using STV
 (A disappears, and B wins with 65/105 votes).

Right.

I'll note here that STV is described in terms of ignoring references
to options on the ballot.  Once these options have been ignored, the
winner is still described in the same sort of terms which describe a
majority.

I'll agree that it's possible to invent supermajority concepts which
are different than those described in the constitution.

 What you could end up with (using my scheme) is a vote that goes
 something like:
 
   60 ABS
   40 BSA
 
 where A requires 3:1 supermajority. You get:
 
   A dominates B 60 to 

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-07 Thread Anthony Towns
On Thu, Dec 07, 2000 at 04:48:48PM -0500, Raul Miller wrote:
  * What to require for an option to meet quorum
(working assumption: count the number of votes that mention
 the option, and compare against quorum)

This is just flat out wrong, the working assumption we had was count
the number of votes that rate the option above the default, and compare
against quorum.

  Let me start from the top, perhaps.
  There's no such majority requirement, though, per se. This is why I
  avoided answering when you asked this before.
 The constitution doesn't use the word majority except when it requires
 other than a simple majority.  However, it's clear that the concept of
 majority (the greater number) is a way of contrasting the winning vote
 to the nonwinning votes.

Sure, the greatest good for the greatest number is the whole point
behind voting.

That's one of the things that encourages an unbiassed voting system: if
you're going to say that:

60 AB
40 BA

should be a win for A because most people prefer it, you should also be
saying:

60 BA
40 AB

should be a win for B, for the exact same reason.

 I'll agree that it's possible to invent supermajority concepts which
 are different than those described in the constitution.

Indeed, and, IMO and by my reading, this is exactly what you're doing.

Can we possible skip the attempts to claw the moral high ground from
each other with you can't read!! this obviously doesn't mean that!!?

   I'll agree that quorum biases against any change (when there aren't
   enough voters). I'll also note, here, that quorum is different from
   supermajority.
  Right. I'm using bias as a general term to analyse the effects of
  any extra requirements we might add beyond just saying `take the Smith
  set, apply STV'.
 Ok.  I'll take a general term as meaning doesn't have any particular
 negative connotation.  Which means that the absence of bias isn't 
 a positive feature without some further rationale.

This isn't quite accurate. Biasses aren't *necessarily* bad, but they
do need a good justification.

   constitution, while a vote in favor of B is a vote in favor of not
   modifying the constitution.
  This, however, doesn't make any sense. Again, there is no such thing
  as a vote that is simply for or against modifying the constitution,
  unless the vote simply has yes and no options.
 So, a vote which prefers A to B is a vote which prefers an option which
 modifies the constitution to an option which does not.  A vote which
 prefers B to A is a vote which prefers not modifying the constitution
 to an option which prefers modifying the constitution.
 Do you disagree with this statement?

Yes. Take a single vote that ranks:

[ 2 ] A (change the constitution)
[ 1 ] B (do such and such, don't change the constitution)
[ 3 ] S (don't change anything, including the constitution)

You'll note that B is preferred to A: thus it's a vote which prefers not
modifying the constitution.

You'll note that A is preferred to S: thus it's a vote *for* modifying
the constitution.

So yes, I think that's an unhelpful distinction to try to make.

  So no, I don't accept the implication that a vote where X isn't your
  first preference should be considered a vote against X.
 This sounds like you're try to get around the language of A.6(7).
 In the end, there can be only one.

Yeah, well, good for A.6(7).

If it agrees with you (and I personally think it doesn't) it's wrong too.

  Because it can represent the preferences of a voter who thinks Well,
  changing the constitution (A, say) is a bit drastic, but we should
  move in this direction; so ideally I'd rather the compromise (B),
  but I don't mind if we go all out, because he could vote BAS,
  and a voter who thinks (like you apparently might) Changing the
  constitution is too drastic, we have a compromise, we have to use that
  instead could express that by saying BSA, and someone who'd rather
  go all out, but will accept the compromise if necessary can express
  *that* by voting ABS.
 And, what about the voter who thinks:  Well, I don't think that a
 solution which modifies the constitution is the right solution, but this
 is a real problem, and it's better than nothing.?

Then if they've got a better solution they (or someone else) probably already
proposed it and they can vote for that.

The only thing you can't express in my way that you can in yours is
`My opinion is worth three times anyone else's, and modifying the
constitution to say foo is much much worse than doing bar'.

Note that biassing everything over A isn't the only way of handling a
supermajority (and isn't even a common or usual way --- you're welcome
to cite one other instance of _anyone_ doing it this way, though),
you can simply require a supermajority of people preferring A to the
status-quo (by literally having a Status-quo option, or by using
No or Further Discussion or 

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-06 Thread Anthony Towns

On Tue, Dec 05, 2000 at 02:25:26PM -0500, Raul Miller wrote:
 On Tue, Dec 05, 2000 at 05:58:47PM +1000, Anthony Towns wrote:
  It'd have a substantial effect if a supermajority was required: if 60
  of 100 people preferred your second preference, and voted Yes/Further
  Discussion/No, while 40 people voted Further Discussion/Yes/No, the
  vote would fail, and you'd be back at the start again.
  Personally, I doubt this would do you any good: everyone's already
  likely to have decided on their preference, so you may as well take
  the compromise rather than trying again and again and again.
 Depends on how I felt on the issue -- I rate things based on my
 preferences, not based on some abstract expectation about other people's
 preferences.

Certainly, you can vote however you like. But be aware that other people
might _not_ want to hinder their second preference just because they've
got no chance of getting their first preference.

Similarly, in the counting scheme I proposed, you'd vote:
   Er.. I've been trying to find your proposal.  
  Let me restate it, then.
  A single vote is called, with each alternative option in its full form
  as an option, along with a "Status-quo" option. Developers submit ballots
  with each option numbered according to their relative preferences.
 First note: you don't attempt to distinguish between "this is worth
 redoing" and "this is not worth redoing", in your "status quo".

As I've said, I don't see any benefit in doing it. Whichever's selected,
as far as the constitution's concerned, you'll get the same result (ie
nothing will change). As far as people are concerned, I don't believe
it's appropriate to try to silence discussion by a vote. I'll also note we
haven't consistently distinguished between "no" and "further discussion"
in past votes.

  Votes are counted by first counting how many individual votes rank one
  option above another option, and a matrix is formed, where M[a,b] is the
  number of votes that rank option "a" over option "b", and M[b,a] is the
  number of votes that rank option "b" over option "a".
 Second note: this mechanism won't work for STV (which you suggest using,
 below).

Eh? The matrix won't help you working out STV, but so what? You can just
ignore it later, if you want to.

  An option has quorum if the number of individual ballots mentioning that
  option is greater than or equal to the quorum required.
  
  An option, a, meets a supermajority of N:1 if M[a,S]  M[S,a] * N, where
  S is the Status-Quo option.
 Third note: this is something we're still debating.

Yes, and I'm using this scheme as an example of a single-ballot
preferential system that has the properties of supermajority I
describe. That's its whole point.

  The vote is counted by first finding the Smith set, then eliminating
  all options from the Smith set that don't make quorum or their
  respective supermajority requirement. If no options remain, the
  default option, Status-quo wins. If many options remain, they're
  chosen amongst by using STV, or something similar.
 It's interesting that you're throwing quorum into the middle of the
 vote instead of at the begining or the end.  I'm curious: do you
 have any describable reason for this choice?

If you throw it in at the very end, you don't have an opportunity to
select an alternative winner. If you put it at the start, I *believe*
it tends to encourage insincere votes unnecessarily.

  This isn't entirely ideal: it'll select the status-quo more often
  than is probably desirable, but otherwise it's fairly expressive, and
  doesn't weight any preferences any more than others wherever possible.
 I presume, here, you're talking about the case where we're picking between
 an option with a supermajority requirement and a case where we're not.
 And, I presume that a bias towards options with supermajority requirements
 is something that you don't really care about.

_Huh_?! Where did that come from?

The only biasses in the above are towards options that pairwise beat other
options, and towards the status-quo options (in the event others don't
meet their supermajority requirements).

That is there isn't a bias towards options with supermajority
requirements.  I don't care about problems that don't exist, if that's
what you mean, I guess...

Let me try a different explanation for what a "bias" is.

Suppose you had a vote amongst only two options, Foo and Bar, that went
something like:
60 votes F over B
40 votes B over F
then you would expect F to beat B, right? And if the vote went the other
way,
60 votes B over F
40 votes F over B
you'd expect B to win. That would be a completely unbiassed vote.

If, instead, you had a "Yes" and a "No" vote, and "Yes" required 3:1
supermajority to win, then clearly:
60 votes N over Y
40 votes Y over N
would be a clear win for N, but then
60 votes Y over N
40 votes N over Y
would also be a win for N. So any way of counting 

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-06 Thread Raul Miller

On Wed, Dec 06, 2000 at 09:42:09PM +1000, Anthony Towns wrote:
 Certainly, you can vote however you like. But be aware that other people
 might _not_ want to hinder their second preference just because they've
 got no chance of getting their first preference.

If they don't want to put their first preference first, then it's no
longer their first preference.

  First note: you don't attempt to distinguish between "this is worth
  redoing" and "this is not worth redoing", in your "status quo".

 As I've said, I don't see any benefit in doing it. Whichever's
 selected, as far as the constitution's concerned, you'll get the same
 result (ie nothing will change). As far as people are concerned, I
 don't believe it's appropriate to try to silence discussion by a vote.
 I'll also note we haven't consistently distinguished between "no" and
 "further discussion" in past votes.

Eh?

[I'm deleting a paragraph I wrote here, about courtesy and understanding.]

If no wins, and a new vote is called, the minimum discussion period
must elapse before any further votes can be held.  If further discussion
wins, a new vote can be held whenever.

   An option has quorum if the number of individual ballots mentioning that
   option is greater than or equal to the quorum required.
   
   An option, a, meets a supermajority of N:1 if M[a,S]  M[S,a] * N, where
   S is the Status-Quo option.
  Third note: this is something we're still debating.
 
 Yes, and I'm using this scheme as an example of a single-ballot
 preferential system that has the properties of supermajority I
 describe. That's its whole point.

Well, except that you're squeezing in other concepts (for example,
you're tossing the further discussion option).

   The vote is counted by first finding the Smith set, then eliminating
   all options from the Smith set that don't make quorum or their
   respective supermajority requirement. If no options remain, the
   default option, Status-quo wins. If many options remain, they're
   chosen amongst by using STV, or something similar.
  It's interesting that you're throwing quorum into the middle of the
  vote instead of at the begining or the end.  I'm curious: do you
  have any describable reason for this choice?
 
 If you throw it in at the very end, you don't have an opportunity to
 select an alternative winner. If you put it at the start, I *believe*
 it tends to encourage insincere votes unnecessarily.

You really think that "winner doesn't have quorum, but some option it
beat does" is a worthwhile scenario?  [You might be right -- I'm trying
to understand if there's a reason behind this viewpoint.]

   This isn't entirely ideal: it'll select the status-quo more often
   than is probably desirable, but otherwise it's fairly expressive, and
   doesn't weight any preferences any more than others wherever possible.
  I presume, here, you're talking about the case where we're picking between
  an option with a supermajority requirement and a case where we're not.
  And, I presume that a bias towards options with supermajority requirements
  is something that you don't really care about.
 
 _Huh_?! Where did that come from?
 
 The only biasses in the above are towards options that pairwise beat other
 options, and towards the status-quo options (in the event others don't
 meet their supermajority requirements).

Supermajority options which don't meet supermajority requirement but do
meet a lesser majority requirement will (by definition) pairwise beat
other options [which don't have that requirement].

 Let me try a different explanation for what a "bias" is.
 Suppose you had a vote amongst only two options, Foo and Bar, that went
 something like:
   60 votes F over B
   40 votes B over F
 then you would expect F to beat B, right? And if the vote went the other
 way,
   60 votes B over F
   40 votes F over B
 you'd expect B to win. That would be a completely unbiassed vote.

No problem.

 If, instead, you had a "Yes" and a "No" vote, and "Yes" required 3:1
 supermajority to win, then clearly:
   60 votes N over Y
   40 votes Y over N
 would be a clear win for N, but then
   60 votes Y over N
   40 votes N over Y
 would also be a win for N. So any way of counting votes like this is
 biassed towards a "No" answer. Which is justifiable, because things
 like changing the constitution or the social contract shouldn't be
 done on a whim. Doing what we've always done is at least somewhat
 effective, you need to have a strong, convincing argument to take
 the risk and change. It's entirely fair and reasonable to be biassed
 towards what we're already doing, and to encode that into the way we
 vote.

Ok, here you're defining the effect of supermajority as "bias".

 What you're also saying, though, is that given three options, A, B and
 Status-Quo, say, where A requires a 3:1 supermajority, but B doesn't, that
 if the vote went like:
   60 votes B over A over S
   40 votes A over B over S
 

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-06 Thread Anthony Towns

On Wed, Dec 06, 2000 at 12:36:48PM -0500, Raul Miller wrote:
   First note: you don't attempt to distinguish between "this is worth
   redoing" and "this is not worth redoing", in your "status quo".
  As I've said, I don't see any benefit in doing it. Whichever's
  selected, as far as the constitution's concerned, you'll get the same
  result (ie nothing will change). As far as people are concerned, I
  don't believe it's appropriate to try to silence discussion by a vote.
  I'll also note we haven't consistently distinguished between "no" and
  "further discussion" in past votes.
 If no wins, and a new vote is called, the minimum discussion period
 must elapse before any further votes can be held.  If further discussion
 wins, a new vote can be held whenever.

From A.3(1): ``If Further Discussion wins then the entire resolution
procedure is set back to the start of the discussion period.'' From
A.3(2): ``If Further Discussion wins then the entire procedure is set
back to the start of the discussion period.''

If you're going to bring new assertions in, could you at least verify
them first? The above isn't something I'd thought of, and thus could've
been interesting if it had at least been correct.

An option has quorum if the number of individual ballots mentioning that
option is greater than or equal to the quorum required.
An option, a, meets a supermajority of N:1 if M[a,S]  M[S,a] * N, where
S is the Status-Quo option.
   Third note: this is something we're still debating.
  Yes, and I'm using this scheme as an example of a single-ballot
  preferential system that has the properties of supermajority I
  describe. That's its whole point.
 Well, except that you're squeezing in other concepts (for example,
 you're tossing the further discussion option).

Oh, you meant `the Status-Quo option', by `this'. Look, forget it then.
Assume `Further Discussion' and `No' are separate options on the ballot,
and that they're both scaled according to the relevant supermajority
requirements. For the purposes of this discussion it doesn't really
matter.

The vote is counted by first finding the Smith set, then eliminating
all options from the Smith set that don't make quorum or their
respective supermajority requirement. If no options remain, the
default option, Status-quo wins. If many options remain, they're
chosen amongst by using STV, or something similar.
   It's interesting that you're throwing quorum into the middle of the
   vote instead of at the begining or the end.  I'm curious: do you
   have any describable reason for this choice?
  If you throw it in at the very end, you don't have an opportunity to
  select an alternative winner. If you put it at the start, I *believe*
  it tends to encourage insincere votes unnecessarily.
 You really think that "winner doesn't have quorum, but some option it
 beat does" is a worthwhile scenario?  [You might be right -- I'm trying
 to understand if there's a reason behind this viewpoint.]

No, I'm not interested in it at all. Look, I realise this has other
features, but right now, I don't care about them. I'm trying to get you
to understand what supermajority stuff is about.

This isn't entirely ideal: it'll select the status-quo more often
than is probably desirable, but otherwise it's fairly expressive, and
doesn't weight any preferences any more than others wherever possible.
   I presume, here, you're talking about the case where we're picking between
   an option with a supermajority requirement and a case where we're not.
   And, I presume that a bias towards options with supermajority requirements
   is something that you don't really care about.
  _Huh_?! Where did that come from?
  The only biasses in the above are towards options that pairwise beat other
  options, and towards the status-quo options (in the event others don't
  meet their supermajority requirements).
 Supermajority options which don't meet supermajority requirement but do
 meet a lesser majority requirement will (by definition) pairwise beat
 other options [which don't have that requirement].

You're using a particular definition for `supermajority requirement'
there, that I don't accept or agree with. Can we avoid assuming you're
right for the moment, and see if there's a reasonable justification
for thinking that way?

  Let me try a different explanation for what a "bias" is.
  Suppose you had a vote amongst only two options, Foo and Bar, that went
  something like:
  60 votes F over B
  40 votes B over F
  then you would expect F to beat B, right? And if the vote went the other
  way,
  60 votes B over F
  40 votes F over B
  you'd expect B to win. That would be a completely unbiassed vote.
 No problem.

Now, I probably should have added: a completely unbiassed vote isn't
something we want. We want to bias towards (at least) the status-quo
because we know it works. This is at least what quorum is about, and
IMO, what 

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-06 Thread Raul Miller

On Thu, Dec 07, 2000 at 01:37:31PM +1000, Anthony Towns wrote:
 From A.3(1): ``If Further Discussion wins then the entire resolution
 procedure is set back to the start of the discussion period.'' From
 A.3(2): ``If Further Discussion wins then the entire procedure is set
 back to the start of the discussion period.''

Oops, my goof.

I still maintain there's a difference (because the intent of the
developers is more obvious), but you're right about the minimum discussion
period.

 The vote is counted by first finding the Smith set, then
 eliminating all options from the Smith set that don't make
 quorum or their respective supermajority requirement. If
 no options remain, the default option, Status-quo wins. If
 many options remain, they're chosen amongst by using STV, or
 something similar.
It's interesting that you're throwing quorum into the middle of
the vote instead of at the begining or the end. I'm curious: do
you have any describable reason for this choice?
   If you throw it in at the very end, you don't have an opportunity
   to select an alternative winner. If you put it at the start, I
   *believe* it tends to encourage insincere votes unnecessarily.
  You really think that "winner doesn't have quorum, but some option
  it beat does" is a worthwhile scenario? [You might be right -- I'm
  trying to understand if there's a reason behind this viewpoint.]
 
 No, I'm not interested in it at all. Look, I realise this has other
 features, but right now, I don't care about them. I'm trying to get
 you to understand what supermajority stuff is about.

Ok.  I think this ties together, but let's see how it pans out.

 This isn't entirely ideal: it'll select the status-quo more
 often than is probably desirable, but otherwise it's fairly
 expressive, and doesn't weight any preferences any more than
 others wherever possible.
I presume, here, you're talking about the case where we're
picking between an option with a supermajority requirement and a
case where we're not. And, I presume that a bias towards options
with supermajority requirements is something that you don't
really care about.
   _Huh_?! Where did that come from?
   The only biasses in the above are towards options that pairwise
   beat other options, and towards the status-quo options (in the
   event others don't meet their supermajority requirements).
  Supermajority options which don't meet supermajority requirement but
  do meet a lesser majority requirement will (by definition) pairwise
  beat other options [which don't have that requirement].
 
 You're using a particular definition for `supermajority requirement'
 there, that I don't accept or agree with. Can we avoid assuming you're
 right for the moment, and see if there's a reasonable justification
 for thinking that way?

Er.. I thought I was using your definition of supermajority options,
in that paragraph.

   Let me try a different explanation for what a "bias" is. Suppose
   you had a vote amongst only two options, Foo and Bar, that went
   something like:
 60 votes F over B
 40 votes B over F
   then you would expect F to beat B, right? And if the vote went the
   other way,
 60 votes B over F
 40 votes F over B
   you'd expect B to win. That would be a completely unbiassed vote.
  No problem.
 
 Now, I probably should have added: a completely unbiassed vote isn't
 something we want. We want to bias towards (at least) the status-quo
 because we know it works. This is at least what quorum is about, and
 IMO, what supermajority is about.

I'll agree that quorum biases against any change (when there aren't
enough voters).  I'll also note, here, that quorum is different from
supermajority.

I'll only agree that supermajority biases against certain forms of
change (changing the constitution, for example).

  Ok, here you're defining the effect of supermajority as "bias".
 
 I'm saying that supermajority requirements is a particular kind of
 bias, yes.

Ok.

   What you're also saying, though, is that given three options, A, B
   and Status-Quo, say, where A requires a 3:1 supermajority, but B
   doesn't, that if the vote went like:
 60 votes B over A over S
 40 votes A over B over S
   then B should clearly win (which I agree with), but also, if A and
   B were swapped, so that you had:
 60 votes A over B over S
 40 votes B over A over S
   that B should still win. That is, you're biassed towards accepting
   any option that doesn't require a supermajority over any that
   does.
  Sure, this validates your underlying assumption: that a
  supermajority requirement is a bias.
  I can accept this definition, but using the terms in the way you've
  indicated: I don't see that "taking the bias out of the voting"
  system means anything other than "taking the effect of supermajority
  out of the voting system".
 
 It'd also take quorum out of the voting system too.

Well, it could mean 

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-06 Thread Anthony Towns
On Tue, Dec 05, 2000 at 02:25:26PM -0500, Raul Miller wrote:
 On Tue, Dec 05, 2000 at 05:58:47PM +1000, Anthony Towns wrote:
  It'd have a substantial effect if a supermajority was required: if 60
  of 100 people preferred your second preference, and voted Yes/Further
  Discussion/No, while 40 people voted Further Discussion/Yes/No, the
  vote would fail, and you'd be back at the start again.
  Personally, I doubt this would do you any good: everyone's already
  likely to have decided on their preference, so you may as well take
  the compromise rather than trying again and again and again.
 Depends on how I felt on the issue -- I rate things based on my
 preferences, not based on some abstract expectation about other people's
 preferences.

Certainly, you can vote however you like. But be aware that other people
might _not_ want to hinder their second preference just because they've
got no chance of getting their first preference.

Similarly, in the counting scheme I proposed, you'd vote:
   Er.. I've been trying to find your proposal.  
  Let me restate it, then.
  A single vote is called, with each alternative option in its full form
  as an option, along with a Status-quo option. Developers submit ballots
  with each option numbered according to their relative preferences.
 First note: you don't attempt to distinguish between this is worth
 redoing and this is not worth redoing, in your status quo.

As I've said, I don't see any benefit in doing it. Whichever's selected,
as far as the constitution's concerned, you'll get the same result (ie
nothing will change). As far as people are concerned, I don't believe
it's appropriate to try to silence discussion by a vote. I'll also note we
haven't consistently distinguished between no and further discussion
in past votes.

  Votes are counted by first counting how many individual votes rank one
  option above another option, and a matrix is formed, where M[a,b] is the
  number of votes that rank option a over option b, and M[b,a] is the
  number of votes that rank option b over option a.
 Second note: this mechanism won't work for STV (which you suggest using,
 below).

Eh? The matrix won't help you working out STV, but so what? You can just
ignore it later, if you want to.

  An option has quorum if the number of individual ballots mentioning that
  option is greater than or equal to the quorum required.
  
  An option, a, meets a supermajority of N:1 if M[a,S]  M[S,a] * N, where
  S is the Status-Quo option.
 Third note: this is something we're still debating.

Yes, and I'm using this scheme as an example of a single-ballot
preferential system that has the properties of supermajority I
describe. That's its whole point.

  The vote is counted by first finding the Smith set, then eliminating
  all options from the Smith set that don't make quorum or their
  respective supermajority requirement. If no options remain, the
  default option, Status-quo wins. If many options remain, they're
  chosen amongst by using STV, or something similar.
 It's interesting that you're throwing quorum into the middle of the
 vote instead of at the begining or the end.  I'm curious: do you
 have any describable reason for this choice?

If you throw it in at the very end, you don't have an opportunity to
select an alternative winner. If you put it at the start, I *believe*
it tends to encourage insincere votes unnecessarily.

  This isn't entirely ideal: it'll select the status-quo more often
  than is probably desirable, but otherwise it's fairly expressive, and
  doesn't weight any preferences any more than others wherever possible.
 I presume, here, you're talking about the case where we're picking between
 an option with a supermajority requirement and a case where we're not.
 And, I presume that a bias towards options with supermajority requirements
 is something that you don't really care about.

_Huh_?! Where did that come from?

The only biasses in the above are towards options that pairwise beat other
options, and towards the status-quo options (in the event others don't
meet their supermajority requirements).

That is there isn't a bias towards options with supermajority
requirements.  I don't care about problems that don't exist, if that's
what you mean, I guess...

Let me try a different explanation for what a bias is.

Suppose you had a vote amongst only two options, Foo and Bar, that went
something like:
60 votes F over B
40 votes B over F
then you would expect F to beat B, right? And if the vote went the other
way,
60 votes B over F
40 votes F over B
you'd expect B to win. That would be a completely unbiassed vote.

If, instead, you had a Yes and a No vote, and Yes required 3:1
supermajority to win, then clearly:
60 votes N over Y
40 votes Y over N
would be a clear win for N, but then
60 votes Y over N
40 votes N over Y
would also be a win for N. So any way of counting votes like this is
biassed 

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-06 Thread Raul Miller
On Wed, Dec 06, 2000 at 09:42:09PM +1000, Anthony Towns wrote:
 Certainly, you can vote however you like. But be aware that other people
 might _not_ want to hinder their second preference just because they've
 got no chance of getting their first preference.

If they don't want to put their first preference first, then it's no
longer their first preference.

  First note: you don't attempt to distinguish between this is worth
  redoing and this is not worth redoing, in your status quo.

 As I've said, I don't see any benefit in doing it. Whichever's
 selected, as far as the constitution's concerned, you'll get the same
 result (ie nothing will change). As far as people are concerned, I
 don't believe it's appropriate to try to silence discussion by a vote.
 I'll also note we haven't consistently distinguished between no and
 further discussion in past votes.

Eh?

[I'm deleting a paragraph I wrote here, about courtesy and understanding.]

If no wins, and a new vote is called, the minimum discussion period
must elapse before any further votes can be held.  If further discussion
wins, a new vote can be held whenever.

   An option has quorum if the number of individual ballots mentioning that
   option is greater than or equal to the quorum required.
   
   An option, a, meets a supermajority of N:1 if M[a,S]  M[S,a] * N, where
   S is the Status-Quo option.
  Third note: this is something we're still debating.
 
 Yes, and I'm using this scheme as an example of a single-ballot
 preferential system that has the properties of supermajority I
 describe. That's its whole point.

Well, except that you're squeezing in other concepts (for example,
you're tossing the further discussion option).

   The vote is counted by first finding the Smith set, then eliminating
   all options from the Smith set that don't make quorum or their
   respective supermajority requirement. If no options remain, the
   default option, Status-quo wins. If many options remain, they're
   chosen amongst by using STV, or something similar.
  It's interesting that you're throwing quorum into the middle of the
  vote instead of at the begining or the end.  I'm curious: do you
  have any describable reason for this choice?
 
 If you throw it in at the very end, you don't have an opportunity to
 select an alternative winner. If you put it at the start, I *believe*
 it tends to encourage insincere votes unnecessarily.

You really think that winner doesn't have quorum, but some option it
beat does is a worthwhile scenario?  [You might be right -- I'm trying
to understand if there's a reason behind this viewpoint.]

   This isn't entirely ideal: it'll select the status-quo more often
   than is probably desirable, but otherwise it's fairly expressive, and
   doesn't weight any preferences any more than others wherever possible.
  I presume, here, you're talking about the case where we're picking between
  an option with a supermajority requirement and a case where we're not.
  And, I presume that a bias towards options with supermajority requirements
  is something that you don't really care about.
 
 _Huh_?! Where did that come from?
 
 The only biasses in the above are towards options that pairwise beat other
 options, and towards the status-quo options (in the event others don't
 meet their supermajority requirements).

Supermajority options which don't meet supermajority requirement but do
meet a lesser majority requirement will (by definition) pairwise beat
other options [which don't have that requirement].

 Let me try a different explanation for what a bias is.
 Suppose you had a vote amongst only two options, Foo and Bar, that went
 something like:
   60 votes F over B
   40 votes B over F
 then you would expect F to beat B, right? And if the vote went the other
 way,
   60 votes B over F
   40 votes F over B
 you'd expect B to win. That would be a completely unbiassed vote.

No problem.

 If, instead, you had a Yes and a No vote, and Yes required 3:1
 supermajority to win, then clearly:
   60 votes N over Y
   40 votes Y over N
 would be a clear win for N, but then
   60 votes Y over N
   40 votes N over Y
 would also be a win for N. So any way of counting votes like this is
 biassed towards a No answer. Which is justifiable, because things
 like changing the constitution or the social contract shouldn't be
 done on a whim. Doing what we've always done is at least somewhat
 effective, you need to have a strong, convincing argument to take
 the risk and change. It's entirely fair and reasonable to be biassed
 towards what we're already doing, and to encode that into the way we
 vote.

Ok, here you're defining the effect of supermajority as bias.

 What you're also saying, though, is that given three options, A, B and
 Status-Quo, say, where A requires a 3:1 supermajority, but B doesn't, that
 if the vote went like:
   60 votes B over A over S
   40 votes A over B over S
 then B should clearly win 

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-06 Thread Anthony Towns
On Wed, Dec 06, 2000 at 12:36:48PM -0500, Raul Miller wrote:
   First note: you don't attempt to distinguish between this is worth
   redoing and this is not worth redoing, in your status quo.
  As I've said, I don't see any benefit in doing it. Whichever's
  selected, as far as the constitution's concerned, you'll get the same
  result (ie nothing will change). As far as people are concerned, I
  don't believe it's appropriate to try to silence discussion by a vote.
  I'll also note we haven't consistently distinguished between no and
  further discussion in past votes.
 If no wins, and a new vote is called, the minimum discussion period
 must elapse before any further votes can be held.  If further discussion
 wins, a new vote can be held whenever.

From A.3(1): ``If Further Discussion wins then the entire resolution
procedure is set back to the start of the discussion period.'' From
A.3(2): ``If Further Discussion wins then the entire procedure is set
back to the start of the discussion period.''

If you're going to bring new assertions in, could you at least verify
them first? The above isn't something I'd thought of, and thus could've
been interesting if it had at least been correct.

An option has quorum if the number of individual ballots mentioning that
option is greater than or equal to the quorum required.
An option, a, meets a supermajority of N:1 if M[a,S]  M[S,a] * N, where
S is the Status-Quo option.
   Third note: this is something we're still debating.
  Yes, and I'm using this scheme as an example of a single-ballot
  preferential system that has the properties of supermajority I
  describe. That's its whole point.
 Well, except that you're squeezing in other concepts (for example,
 you're tossing the further discussion option).

Oh, you meant `the Status-Quo option', by `this'. Look, forget it then.
Assume `Further Discussion' and `No' are separate options on the ballot,
and that they're both scaled according to the relevant supermajority
requirements. For the purposes of this discussion it doesn't really
matter.

The vote is counted by first finding the Smith set, then eliminating
all options from the Smith set that don't make quorum or their
respective supermajority requirement. If no options remain, the
default option, Status-quo wins. If many options remain, they're
chosen amongst by using STV, or something similar.
   It's interesting that you're throwing quorum into the middle of the
   vote instead of at the begining or the end.  I'm curious: do you
   have any describable reason for this choice?
  If you throw it in at the very end, you don't have an opportunity to
  select an alternative winner. If you put it at the start, I *believe*
  it tends to encourage insincere votes unnecessarily.
 You really think that winner doesn't have quorum, but some option it
 beat does is a worthwhile scenario?  [You might be right -- I'm trying
 to understand if there's a reason behind this viewpoint.]

No, I'm not interested in it at all. Look, I realise this has other
features, but right now, I don't care about them. I'm trying to get you
to understand what supermajority stuff is about.

This isn't entirely ideal: it'll select the status-quo more often
than is probably desirable, but otherwise it's fairly expressive, and
doesn't weight any preferences any more than others wherever possible.
   I presume, here, you're talking about the case where we're picking between
   an option with a supermajority requirement and a case where we're not.
   And, I presume that a bias towards options with supermajority requirements
   is something that you don't really care about.
  _Huh_?! Where did that come from?
  The only biasses in the above are towards options that pairwise beat other
  options, and towards the status-quo options (in the event others don't
  meet their supermajority requirements).
 Supermajority options which don't meet supermajority requirement but do
 meet a lesser majority requirement will (by definition) pairwise beat
 other options [which don't have that requirement].

You're using a particular definition for `supermajority requirement'
there, that I don't accept or agree with. Can we avoid assuming you're
right for the moment, and see if there's a reasonable justification
for thinking that way?

  Let me try a different explanation for what a bias is.
  Suppose you had a vote amongst only two options, Foo and Bar, that went
  something like:
  60 votes F over B
  40 votes B over F
  then you would expect F to beat B, right? And if the vote went the other
  way,
  60 votes B over F
  40 votes F over B
  you'd expect B to win. That would be a completely unbiassed vote.
 No problem.

Now, I probably should have added: a completely unbiassed vote isn't
something we want. We want to bias towards (at least) the status-quo
because we know it works. This is at least what quorum is about, and
IMO, what supermajority is about.

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-06 Thread Raul Miller
On Thu, Dec 07, 2000 at 01:37:31PM +1000, Anthony Towns wrote:
 From A.3(1): ``If Further Discussion wins then the entire resolution
 procedure is set back to the start of the discussion period.'' From
 A.3(2): ``If Further Discussion wins then the entire procedure is set
 back to the start of the discussion period.''

Oops, my goof.

I still maintain there's a difference (because the intent of the
developers is more obvious), but you're right about the minimum discussion
period.

 The vote is counted by first finding the Smith set, then
 eliminating all options from the Smith set that don't make
 quorum or their respective supermajority requirement. If
 no options remain, the default option, Status-quo wins. If
 many options remain, they're chosen amongst by using STV, or
 something similar.
It's interesting that you're throwing quorum into the middle of
the vote instead of at the begining or the end. I'm curious: do
you have any describable reason for this choice?
   If you throw it in at the very end, you don't have an opportunity
   to select an alternative winner. If you put it at the start, I
   *believe* it tends to encourage insincere votes unnecessarily.
  You really think that winner doesn't have quorum, but some option
  it beat does is a worthwhile scenario? [You might be right -- I'm
  trying to understand if there's a reason behind this viewpoint.]
 
 No, I'm not interested in it at all. Look, I realise this has other
 features, but right now, I don't care about them. I'm trying to get
 you to understand what supermajority stuff is about.

Ok.  I think this ties together, but let's see how it pans out.

 This isn't entirely ideal: it'll select the status-quo more
 often than is probably desirable, but otherwise it's fairly
 expressive, and doesn't weight any preferences any more than
 others wherever possible.
I presume, here, you're talking about the case where we're
picking between an option with a supermajority requirement and a
case where we're not. And, I presume that a bias towards options
with supermajority requirements is something that you don't
really care about.
   _Huh_?! Where did that come from?
   The only biasses in the above are towards options that pairwise
   beat other options, and towards the status-quo options (in the
   event others don't meet their supermajority requirements).
  Supermajority options which don't meet supermajority requirement but
  do meet a lesser majority requirement will (by definition) pairwise
  beat other options [which don't have that requirement].
 
 You're using a particular definition for `supermajority requirement'
 there, that I don't accept or agree with. Can we avoid assuming you're
 right for the moment, and see if there's a reasonable justification
 for thinking that way?

Er.. I thought I was using your definition of supermajority options,
in that paragraph.

   Let me try a different explanation for what a bias is. Suppose
   you had a vote amongst only two options, Foo and Bar, that went
   something like:
 60 votes F over B
 40 votes B over F
   then you would expect F to beat B, right? And if the vote went the
   other way,
 60 votes B over F
 40 votes F over B
   you'd expect B to win. That would be a completely unbiassed vote.
  No problem.
 
 Now, I probably should have added: a completely unbiassed vote isn't
 something we want. We want to bias towards (at least) the status-quo
 because we know it works. This is at least what quorum is about, and
 IMO, what supermajority is about.

I'll agree that quorum biases against any change (when there aren't
enough voters).  I'll also note, here, that quorum is different from
supermajority.

I'll only agree that supermajority biases against certain forms of
change (changing the constitution, for example).

  Ok, here you're defining the effect of supermajority as bias.
 
 I'm saying that supermajority requirements is a particular kind of
 bias, yes.

Ok.

   What you're also saying, though, is that given three options, A, B
   and Status-Quo, say, where A requires a 3:1 supermajority, but B
   doesn't, that if the vote went like:
 60 votes B over A over S
 40 votes A over B over S
   then B should clearly win (which I agree with), but also, if A and
   B were swapped, so that you had:
 60 votes A over B over S
 40 votes B over A over S
   that B should still win. That is, you're biassed towards accepting
   any option that doesn't require a supermajority over any that
   does.
  Sure, this validates your underlying assumption: that a
  supermajority requirement is a bias.
  I can accept this definition, but using the terms in the way you've
  indicated: I don't see that taking the bias out of the voting
  system means anything other than taking the effect of supermajority
  out of the voting system.
 
 It'd also take quorum out of the voting system too.

Well, it could mean that, but 

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-05 Thread Raul Miller

On Tue, Dec 05, 2000 at 12:32:12AM +1000, Anthony Towns wrote:
   The Condorcet criterion says that if there's a single option that
   pairwise beats every other option, it should win (assuming there's no
   supermajority requirement, and quorum is met).

  That's a relatively weak criterion, all things considered.

On Mon, Dec 04, 2000 at 11:35:45PM -0500, Buddha Buck wrote:
 "All things considered" just being:
 
 -- it doesn't deal with supermajorities
 -- it doesn't deal with quorum issues
 -- it doesn't state what should happen if there isn't a single option
that pairwise beats every other option.

I was refering to this last one.

   It's what the current A.6(2) and A.6(3) are for. (The Condorcet criterion
   doesn't say anything about the ambiguous cases we've been talking about)
  
  I thought we'd agreed that they are to ensure that the Smith criterion
  is met (which is more specific than the Condorcet criterion).
 
 If A.6(3) is supposed to reduce the options to the Smith set, it is 
 very poorly written.

I guess this depends on whether you think that Dominates means "pairwise
beats" or "transitively beats".  I think it means "transitively beats".

I do see that other people (you, anthony) disagree with me, and I
think that's sufficient reason to consider a constitutional amendment
to resolve this issue.  [I'd like to achieve agreement on a few other
issues, however, before I propose anything formal.]

Thanks,

-- 
Raul


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Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-05 Thread Anthony Towns
On Mon, Dec 04, 2000 at 11:20:15PM -0500, Raul Miller wrote:
   My point of view is that these two are essentially equivalent: in the
   N+1 style of voting, a person who thinks that the option isn't the best
   would vote for further discussion.
  Well, they might do that, yes. Or else they might think to themselves, 
  well, I'm never going to get my preferred choice, and this isn't bad, so 
  yeah, let's do that. I think that's a valid point of view to hold.
 Indeed, things could happen this way.  [Personally, I'm not sure I'd
 say Oh well -- if My First Preference was important to me, I'd very
 likely vote 1: further discussion, 2: yes, 3: no -- this wouldn't have a
 substantially different effect, unless some of the people who had voted
 the other way had second thoughts, or unless more people participated
 in the second vote.]

It'd have a substantial effect if a supermajority was required: if 60
of 100 people preferred your second preference, and voted Yes/Further
Discussion/No, while 40 people voted Further Discussion/Yes/No, the vote
would fail, and you'd be back at the start again.

Personally, I doubt this would do you any good: everyone's already likely
to have decided on their preference, so you may as well take the compromise
rather than trying again and again and again.

  Similarly, in the counting scheme I proposed, you'd vote:
 Er.. I've been trying to find your proposal.  

Let me restate it, then.


A single vote is called, with each alternative option in its full form
as an option, along with a Status-quo option. Developers submit ballots
with each option numbered according to their relative preferences.

Votes are counted by first counting how many individual votes rank one
option above another option, and a matrix is formed, where M[a,b] is the
number of votes that rank option a over option b, and M[b,a] is the
number of votes that rank option b over option a.

An option has quorum if the number of individual ballots mentioning that
option is greater than or equal to the quorum required.

An option, a, meets a supermajority of N:1 if M[a,S]  M[S,a] * N, where
S is the Status-Quo option.

The vote is counted by first finding the Smith set, then eliminating all
options from the Smith set that don't make quorum or their respective
supermajority requirement. If no options remain, the default option,
Status-quo wins. If many options remain, they're chosen amongst by using
STV, or something similar.

This isn't entirely ideal: it'll select the status-quo more often than
is probably desirable, but otherwise it's fairly expressive, and doesn't
weight any preferences any more than others wherever possible.

Consider it more as an example of a way to conduct a single vote that
has less flaws than yours, rather than one that's useful as is.

  No, your view of supermajority isn't good because it affects other
  options than the status-quo options, and raises the odds that they'll win.
  An alternative way of looking at it is that there's no way to express
  a preference towards a non-supermajority vote without that preference
  counting for three preferences the other way. What if I *don't* feel
  that strongly about it?
 Well.. if supermajority decreases the chance that an option will win,
 then, yes, that does tend to bias things in the direction of alternatives.

It's also possible to simply bias the vote towards the status-quo, rather
than simply biassing it away from some other option.

 To avoid this bias, you seem to want to bias things away from the
 alternatives, and in favor of the choice between the supermajority option,
 and what you call the status quo option.

No, I don't want to avoid bias entirely; if I did I'd be saying let's
do away with supermajorities and quorums and just use a straight out
Condorcet method of some description.

But I think the main benefit of a quorum and supermajority is to bias towards
the status-quo, not to bias against that particular possibility.

  Well, again, my reading explicitly requires a vote with Yes/No/Further
  Discussion as the only options, and only applies supermajority and quorum
  to those options.
 Oh?
 The only way I see to get that interpretation requires I either:
 [A] Completely ignore A.3(3), or
 [B] imagine that A.6(7) somehow says that X stands for only no or
 further discussion
 What have I missed?

Okay, let me flesh out how I'd conduct a vote that has multiple related
alternatives that should be decided on at once.

First, since the constitution doesn't say anything about merging distinct
votes, I'd require the later alternatives to be phrased as amendments to
the first alternative presented, even if this essentially implies ignoring
the original proposal and rewriting it from scratch.

Once all the alternatives are assembled, and the proposers/sponsors have
called for a vote, I'd first form a ballot under A.3(1) that looked like
[ _ ] Original proposal
[ _ ] First amendment
[ _ ] Second amendment
 

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-05 Thread Raul Miller
My point of view is that these two are essentially equivalent: in the
N+1 style of voting, a person who thinks that the option isn't the best
would vote for further discussion.
   Well, they might do that, yes. Or else they might think to themselves, 
   well, I'm never going to get my preferred choice, and this isn't bad, so 
   yeah, let's do that. I think that's a valid point of view to hold.

On Mon, Dec 04, 2000 at 11:20:15PM -0500, Raul Miller wrote:
  Indeed, things could happen this way.  [Personally, I'm not sure I'd
  say Oh well -- if My First Preference was important to me, I'd very
  likely vote 1: further discussion, 2: yes, 3: no -- this wouldn't have a
  substantially different effect, unless some of the people who had voted
  the other way had second thoughts, or unless more people participated
  in the second vote.]

On Tue, Dec 05, 2000 at 05:58:47PM +1000, Anthony Towns wrote:
 It'd have a substantial effect if a supermajority was required: if 60
 of 100 people preferred your second preference, and voted Yes/Further
 Discussion/No, while 40 people voted Further Discussion/Yes/No, the
 vote would fail, and you'd be back at the start again.

 Personally, I doubt this would do you any good: everyone's already
 likely to have decided on their preference, so you may as well take
 the compromise rather than trying again and again and again.

Depends on how I felt on the issue -- I rate things based on my
preferences, not based on some abstract expectation about other people's
preferences.

   Similarly, in the counting scheme I proposed, you'd vote:
  Er.. I've been trying to find your proposal.  
 
 Let me restate it, then.

 A single vote is called, with each alternative option in its full form
 as an option, along with a Status-quo option. Developers submit ballots
 with each option numbered according to their relative preferences.

First note: you don't attempt to distinguish between this is worth
redoing and this is not worth redoing, in your status quo.

 Votes are counted by first counting how many individual votes rank one
 option above another option, and a matrix is formed, where M[a,b] is the
 number of votes that rank option a over option b, and M[b,a] is the
 number of votes that rank option b over option a.

Second note: this mechanism won't work for STV (which you suggest using,
below).

 An option has quorum if the number of individual ballots mentioning that
 option is greater than or equal to the quorum required.
 
 An option, a, meets a supermajority of N:1 if M[a,S]  M[S,a] * N, where
 S is the Status-Quo option.

Third note: this is something we're still debating.

 The vote is counted by first finding the Smith set, then eliminating
 all options from the Smith set that don't make quorum or their
 respective supermajority requirement. If no options remain, the
 default option, Status-quo wins. If many options remain, they're
 chosen amongst by using STV, or something similar.

It's interesting that you're throwing quorum into the middle of the
vote instead of at the begining or the end.  I'm curious: do you
have any describable reason for this choice?

 This isn't entirely ideal: it'll select the status-quo more often
 than is probably desirable, but otherwise it's fairly expressive, and
 doesn't weight any preferences any more than others wherever possible.

I presume, here, you're talking about the case where we're picking between
an option with a supermajority requirement and a case where we're not.
And, I presume that a bias towards options with supermajority requirements
is something that you don't really care about.

 Consider it more as an example of a way to conduct a single vote that
 has less flaws than yours, rather than one that's useful as is.

The chief flaw you seem to be addressing is this very point we're
debating: what should supermajority mean, when comparing options with
different supermajority requirements.

   No, your view of supermajority isn't good because it affects other
   options than the status-quo options, and raises the odds that they'll win.
   An alternative way of looking at it is that there's no way to express
   a preference towards a non-supermajority vote without that preference
   counting for three preferences the other way. What if I *don't* feel
   that strongly about it?
  Well.. if supermajority decreases the chance that an option will win,
  then, yes, that does tend to bias things in the direction of alternatives.
 
 It's also possible to simply bias the vote towards the status-quo, rather
 than simply biassing it away from some other option.

Unless we are contrasting with an unambiguous reference, bias is a
matter of what you're contrasting with.

  To avoid this bias, you seem to want to bias things away from the
  alternatives, and in favor of the choice between the supermajority
  option, and what you call the status quo option.

 No, I don't want to avoid bias entirely; if I did I'd be saying let's
 do away 

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-05 Thread Raul Miller
On Tue, Dec 05, 2000 at 12:32:12AM +1000, Anthony Towns wrote:
   The Condorcet criterion says that if there's a single option that
   pairwise beats every other option, it should win (assuming there's no
   supermajority requirement, and quorum is met).

  That's a relatively weak criterion, all things considered.

On Mon, Dec 04, 2000 at 11:35:45PM -0500, Buddha Buck wrote:
 All things considered just being:
 
 -- it doesn't deal with supermajorities
 -- it doesn't deal with quorum issues
 -- it doesn't state what should happen if there isn't a single option
that pairwise beats every other option.

I was refering to this last one.

   It's what the current A.6(2) and A.6(3) are for. (The Condorcet criterion
   doesn't say anything about the ambiguous cases we've been talking about)
  
  I thought we'd agreed that they are to ensure that the Smith criterion
  is met (which is more specific than the Condorcet criterion).
 
 If A.6(3) is supposed to reduce the options to the Smith set, it is 
 very poorly written.

I guess this depends on whether you think that Dominates means pairwise
beats or transitively beats.  I think it means transitively beats.

I do see that other people (you, anthony) disagree with me, and I
think that's sufficient reason to consider a constitutional amendment
to resolve this issue.  [I'd like to achieve agreement on a few other
issues, however, before I propose anything formal.]

Thanks,

-- 
Raul



Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-04 Thread Anthony Towns

On Sun, Dec 03, 2000 at 10:02:40PM -0500, Raul Miller wrote:
   Actually, if you're talking about a properly formed A.3(3) vote, where
   you're voting on option A and independent option B, there should be
   on the ballot:
   Yes on A and B
   Yes on A, no on B
   Yes on B no on A
   no on A, no on B
   further discussion.
 On Mon, Dec 04, 2000 at 11:46:55AM +1000, Anthony Towns wrote:
  Okay, now consider the vote being proposed by Manoj and Branden, then
  one that has alternatives "Allow modification of foundational documents
  with 3:1 supermajority" and "Allow modification to all documents".
 These are not independent options.

Nor are "Debian will have nothing to do with non-free ever again"
and "Debian will continue to maintain non-free, but will do it on
unofficial.debian.org instead of ftp-master". So I don't see what
relevance the above has at all.

I think I've consistently ignored the possibility of actual independent
alternatives in a single resolution throughout this whole thread.

 I get the feeling you're not even trying to see how what I'm talking
 about relates to what's said in the constitution.  Certainly, you're
 not quoting from the constitution in your "refutations" of my points.

Well, you seem willing to infer whole vistas of implied conditions from
single words, and seem to take the position that anything not explicitly
forbidden in the constitution is implicitly allowed, so I don't really
see much point discussing what the constitution says, since I can't see
any objective basis for analysis remaining, and you have the high-ground
as far as subjective analysis goes (since you have some possibility of
actually acting as secretary).

I'm much more interested in how we should conduct votes in future, anyway.

Cheers,
aj

-- 
Anthony Towns [EMAIL PROTECTED] http://azure.humbug.org.au/~aj/
I don't speak for anyone save myself. GPG signed mail preferred.

 ``Thanks to all avid pokers out there''
   -- linux.conf.au, 17-20 January 2001

 PGP signature


Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-04 Thread Raul Miller

On Tue, Dec 05, 2000 at 12:32:12AM +1000, Anthony Towns wrote:
 The Condorcet criterion says that if there's a single option that
 pairwise beats every other option, it should win (assuming there's no
 supermajority requirement, and quorum is met).

That's a relatively weak criterion, all things considered.

 It's what the current A.6(2) and A.6(3) are for. (The Condorcet criterion
 doesn't say anything about the ambiguous cases we've been talking about)

I thought we'd agreed that they are to ensure that the Smith criterion
is met (which is more specific than the Condorcet criterion).

   There are two reasonable ways of treating supermajorities, that I can
   think of:
 a) A supermajority of developers believe this option is acceptable.
 b) A supermajority of developers support this option above all
others.
   I believe (a) is the better case, and I think it's essentially what the
   N+1 scheme described in the constitution achieves. From some of your
   mails, I'm lead to believe you might prefer (b).
  Er.. you've lost me here.
  (*scratches head*)
 
 I, uh, don't see how... [0]
 
 Ignore all the procedures established in the appendices, and just
 note that a consitutional amendment requires a `3:1 supermajority'
 to succeed. I can only see two things this can be attempting to require:
 
   * For every person who wouldn't accept it as a resolution, there
 must be three who will for it to pass.

Agreed.

   * For every person who would prefer some other solution, there
 must be three who think this is the best solution possible.

Agreed.

 The way the N+1 style of voting behave, you're effectively requiring the
 former.

My point of view is that these two are essentially equivalent: in the
N+1 style of voting, a person who thinks that the option isn't the best
would vote for "further discussion".

 The way your proposed clarification behaves, you're requiring (I
 think) that if you have an option, S, requiring a supermajority, that
 it be preferred by a supermajority over every option, A, B, C that
 don't require a supermajority (of which "No" and "Further Discussion"
 are examples, but others are possible too). I don't think this is
 particularly useful.

I'm guessing that you're saying my view of supermajority isn't
particularly useful is based on your idea where "further discussion"
is equivalent to a "no" vote, even though they're disctinct options
on the ballot, and even though the matter is dropped if "no" wins,
but further votes will be conducted if "further discussion" wins.

I suppose a literal interpretation of 3:1 "supermajority" would be that
over 75% of all of debian's developers must be in favor of an item before
it can be passed.  I think that my intepretation of "supermajority"
is more relaxed than this, but that it's equivalent for the case where
everyone is voting.

  Ok, I think you're basing [your view of my view of supermajority]
  off of my earlier response to a specific example where I thought, at
  the time, you were talking about a vote which mixed a supermajority
  option with a non-supermajority option.
 
 That's the main (sole?) example where it behaves differently to the
 other methods.

I'll agree that the constitution doesn't explictly address this sort
of mixed majority example.

   (b) isn't quite what your system does, though (aiui). If you consider
   the Manoj and Branden's proposed vote, we might end up with people holding
   preferences like:
 120 people prefer M, B, S, F  (Manoj, Branden, Status-Quo, F.Disc)
 100 people prefer B, M, S, F
   This means that the ratio between M and B would be only 6:5, rather than
   3:1, so presumably neither should win (that's what (b) would imply to me)?
  
  If we're talking about *my* interpretation of what the constitution
  is saying, and what it's trying to say, and *my* understanding of that
  particular vote.  And, if we agree that a 3:1 supermajority applies to
  changing the social contract:
 
 (By Manoj's and Branden's proposals, I mean the amendments to the
 constitution to provide a procedure for changing the constitution,
 not any of the non-free votes themselves, since both would change
 the constitution if accepted, both require a supermajority to pass)

[agreed]

  The way I see it, when determining which votes Dominate which others,
  votes which prefer an option with a supermajority are reduced to an
  appropriate fraction (in this case 1/3).  But, 40 Dominates 33 1/3,
  so M wins.
 
 Yes, that's how I understand your interpretation too; it just doesn't
 seem sensible to me to have the voting system be biassed towards options
 that don't require a supermajority (or require a lesser one).

Well.. the constitution seems to explicitly state this.

 That is, given two options, A and B, both of which pass quorum, both of
 which are acceptable to their respective supermajorities, then the one
 that's picked should be the one that's preferred by more people, simple
 as 

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-04 Thread Anthony Towns

On Mon, Dec 04, 2000 at 11:20:15PM -0500, Raul Miller wrote:
   My point of view is that these two are essentially equivalent: in the
   N+1 style of voting, a person who thinks that the option isn't the best
   would vote for "further discussion".
  Well, they might do that, yes. Or else they might think to themselves, 
  "well, I'm never going to get my preferred choice, and this isn't bad, so 
  yeah, let's do that". I think that's a valid point of view to hold.
 Indeed, things could happen this way.  [Personally, I'm not sure I'd
 say "Oh well" -- if "My First Preference" was important to me, I'd very
 likely vote 1: further discussion, 2: yes, 3: no -- this wouldn't have a
 substantially different effect, unless some of the people who had voted
 the other way had second thoughts, or unless more people participated
 in the second vote.]

It'd have a substantial effect if a supermajority was required: if 60
of 100 people preferred your second preference, and voted Yes/Further
Discussion/No, while 40 people voted Further Discussion/Yes/No, the vote
would fail, and you'd be back at the start again.

Personally, I doubt this would do you any good: everyone's already likely
to have decided on their preference, so you may as well take the compromise
rather than trying again and again and again.

  Similarly, in the counting scheme I proposed, you'd vote:
 Er.. I've been trying to find your proposal.  

Let me restate it, then.


A single vote is called, with each alternative option in its full form
as an option, along with a "Status-quo" option. Developers submit ballots
with each option numbered according to their relative preferences.

Votes are counted by first counting how many individual votes rank one
option above another option, and a matrix is formed, where M[a,b] is the
number of votes that rank option "a" over option "b", and M[b,a] is the
number of votes that rank option "b" over option "a".

An option has quorum if the number of individual ballots mentioning that
option is greater than or equal to the quorum required.

An option, a, meets a supermajority of N:1 if M[a,S]  M[S,a] * N, where
S is the Status-Quo option.

The vote is counted by first finding the Smith set, then eliminating all
options from the Smith set that don't make quorum or their respective
supermajority requirement. If no options remain, the default option,
Status-quo wins. If many options remain, they're chosen amongst by using
STV, or something similar.

This isn't entirely ideal: it'll select the status-quo more often than
is probably desirable, but otherwise it's fairly expressive, and doesn't
weight any preferences any more than others wherever possible.

Consider it more as an example of a way to conduct a single vote that
has less flaws than yours, rather than one that's useful as is.

  No, your view of supermajority isn't good because it affects other
  options than the status-quo options, and raises the odds that they'll win.
  An alternative way of looking at it is that there's no way to express
  a preference towards a non-supermajority vote without that preference
  counting for three preferences the other way. What if I *don't* feel
  that strongly about it?
 Well.. if supermajority decreases the chance that an option will win,
 then, yes, that does tend to bias things in the direction of alternatives.

It's also possible to simply bias the vote towards the status-quo, rather
than simply biassing it away from some other option.

 To avoid this "bias", you seem to want to bias things away from the
 alternatives, and in favor of the choice between the supermajority option,
 and what you call the "status quo" option.

No, I don't want to avoid bias entirely; if I did I'd be saying "let's
do away with supermajorities and quorums and just use a straight out
Condorcet method of some description".

But I think the main benefit of a quorum and supermajority is to bias towards
the status-quo, not to bias against that particular possibility.

  Well, again, my reading explicitly requires a vote with Yes/No/Further
  Discussion as the only options, and only applies supermajority and quorum
  to those options.
 Oh?
 The only way I see to get that interpretation requires I either:
 [A] Completely ignore A.3(3), or
 [B] imagine that A.6(7) somehow says that X stands for only "no" or
 "further discussion"
 What have I missed?

Okay, let me flesh out how I'd conduct a vote that has multiple related
alternatives that should be decided on at once.

First, since the constitution doesn't say anything about merging distinct
votes, I'd require the later alternatives to be phrased as amendments to
the first alternative presented, even if this essentially implies ignoring
the original proposal and rewriting it from scratch.

Once all the alternatives are assembled, and the proposers/sponsors have
called for a vote, I'd first form a ballot under A.3(1) that looked like
[ _ ] Original proposal
[ _ ] First amendment
   

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-04 Thread Anthony Towns
Damn, I've got to stop postponing and forgetting these things.

On Fri, Dec 01, 2000 at 06:08:50AM -0500, Raul Miller wrote:
  I suspect we've also agreed that the Condorcet winner (if there is
  one) should always win. And we seem to have agreed that the winner
  should be from the Smith set, although that's apparently considered
  debatable amongst the pairwise voting cognescenti.
 I'm uncomfortable saying if I've agreed to this.  The Smith/Condorcet
 criteria that Buddha posted is not something I've agreed to.

The Condorcet criterion says that if there's a single option that pairwise
beats every other option, it should win (assuming there's no supermajority
requirement, and quorum is met).

It's what the current A.6(2) and A.6(3) are for. (The Condorcet criterion
doesn't say anything about the ambiguous cases we've been talking about)

  There are two reasonable ways of treating supermajorities, that I can
  think of:
  a) A supermajority of developers believe this option is acceptable.
  b) A supermajority of developers support this option above all
 others.
  I believe (a) is the better case, and I think it's essentially what the
  N+1 scheme described in the constitution achieves. From some of your
  mails, I'm lead to believe you might prefer (b).
 Er.. you've lost me here.
 (*scratches head*)

I, uh, don't see how... [0]

Ignore all the procedures established in the appendices, and just
note that a consitutional amendment requires a `3:1 supermajority'
to succeed. I can only see two things this can be attempting to require:

* For every person who wouldn't accept it as a resolution, there
  must be three who will for it to pass.

* For every person who would prefer some other solution, there
  must be three who think this is the best solution possible.

The way the N+1 style of voting behave, you're effectively requiring the
former.

The way your proposed clarification behaves, you're requiring (I think)
that if you have an option, S, requiring a supermajority, that it be
preferred by a supermajority over every option, A, B, C that don't require
a supermajority (of which No and Further Discussion are examples,
but others are possible too). I don't think this is particularly useful.

 Ok, I think you're basing this off of my earlier response to a specific
 example where I thought, at the time, you were talking about a vote
 which mixed a supermajority option with a non-supermajority option.

That's the main (sole?) example where it behaves differently to the
other methods.

  (b) isn't quite what your system does, though (aiui). If you consider
  the Manoj and Branden's proposed vote, we might end up with people holding
  preferences like:
  120 people prefer M, B, S, F  (Manoj, Branden, Status-Quo, F.Disc)
  100 people prefer B, M, S, F
  This means that the ratio between M and B would be only 6:5, rather than
  3:1, so presumably neither should win (that's what (b) would imply to me)?
 
 If we're talking about *my* interpretation of what the constitution
 is saying, and what it's trying to say, and *my* understanding of that
 particular vote.  And, if we agree that a 3:1 supermajority applies to
 changing the social contract:

(By Manoj's and Branden's proposals, I mean the amendments to the
constitution to provide a procedure for changing the constitution,
not any of the non-free votes themselves, since both would change
the constitution if accepted, both require a supermajority to pass)

 The way I see it, when determining which votes Dominate which others,
 votes which prefer an option with a supermajority are reduced to an
 appropriate fraction (in this case 1/3).  But, 40 Dominates 33 1/3,
 so M wins.

Yes, that's how I understand your interpretation too; it just doesn't
seem sensible to me to have the voting system be biassed towards options
that don't require a supermajority (or require a lesser one).

That is, given two options, A and B, both of which pass quorum, both of
which are acceptable to their respective supermajorities, then the one
that's picked should be the one that's preferred by more people, simple
as that.

There's an obvious justification for choosing A: more people prefer
it. I can't see one for being biassed towards B (anywhere up to a 2.99:1
majority for A:B would still make B the winner), merely because it's
easier, constitutionally, to implement.

 [Also, 73 1/3 -- the total number of votes for M, exceeds
 quorum of 37, so there's not a problem with not enough people voting.]

Eh? Supermajorities and quorum requirments are usually distinct,
aren't they?  You'll note the constitution currently says ``For votes
requiring a supermajority, the actual number of Yes votes is used when
checking whether the quorum has been reached.'' So there's 220 votes
for M, as far as quorum is concerned, unless I've missed something.

Did any of that make any more sense?

Cheers,
aj

[0] If it's just the terms, I'm using N+1 / the 

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-04 Thread Anthony Towns
On Sun, Dec 03, 2000 at 10:02:40PM -0500, Raul Miller wrote:
   Actually, if you're talking about a properly formed A.3(3) vote, where
   you're voting on option A and independent option B, there should be
   on the ballot:
   Yes on A and B
   Yes on A, no on B
   Yes on B no on A
   no on A, no on B
   further discussion.
 On Mon, Dec 04, 2000 at 11:46:55AM +1000, Anthony Towns wrote:
  Okay, now consider the vote being proposed by Manoj and Branden, then
  one that has alternatives Allow modification of foundational documents
  with 3:1 supermajority and Allow modification to all documents.
 These are not independent options.

Nor are Debian will have nothing to do with non-free ever again
and Debian will continue to maintain non-free, but will do it on
unofficial.debian.org instead of ftp-master. So I don't see what
relevance the above has at all.

I think I've consistently ignored the possibility of actual independent
alternatives in a single resolution throughout this whole thread.

 I get the feeling you're not even trying to see how what I'm talking
 about relates to what's said in the constitution.  Certainly, you're
 not quoting from the constitution in your refutations of my points.

Well, you seem willing to infer whole vistas of implied conditions from
single words, and seem to take the position that anything not explicitly
forbidden in the constitution is implicitly allowed, so I don't really
see much point discussing what the constitution says, since I can't see
any objective basis for analysis remaining, and you have the high-ground
as far as subjective analysis goes (since you have some possibility of
actually acting as secretary).

I'm much more interested in how we should conduct votes in future, anyway.

Cheers,
aj

-- 
Anthony Towns [EMAIL PROTECTED] http://azure.humbug.org.au/~aj/
I don't speak for anyone save myself. GPG signed mail preferred.

 ``Thanks to all avid pokers out there''
   -- linux.conf.au, 17-20 January 2001


pgpqTfG9Q2ugR.pgp
Description: PGP signature


Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-04 Thread Raul Miller
On Tue, Dec 05, 2000 at 12:32:12AM +1000, Anthony Towns wrote:
 The Condorcet criterion says that if there's a single option that
 pairwise beats every other option, it should win (assuming there's no
 supermajority requirement, and quorum is met).

That's a relatively weak criterion, all things considered.

 It's what the current A.6(2) and A.6(3) are for. (The Condorcet criterion
 doesn't say anything about the ambiguous cases we've been talking about)

I thought we'd agreed that they are to ensure that the Smith criterion
is met (which is more specific than the Condorcet criterion).

   There are two reasonable ways of treating supermajorities, that I can
   think of:
 a) A supermajority of developers believe this option is acceptable.
 b) A supermajority of developers support this option above all
others.
   I believe (a) is the better case, and I think it's essentially what the
   N+1 scheme described in the constitution achieves. From some of your
   mails, I'm lead to believe you might prefer (b).
  Er.. you've lost me here.
  (*scratches head*)
 
 I, uh, don't see how... [0]
 
 Ignore all the procedures established in the appendices, and just
 note that a consitutional amendment requires a `3:1 supermajority'
 to succeed. I can only see two things this can be attempting to require:
 
   * For every person who wouldn't accept it as a resolution, there
 must be three who will for it to pass.

Agreed.

   * For every person who would prefer some other solution, there
 must be three who think this is the best solution possible.

Agreed.

 The way the N+1 style of voting behave, you're effectively requiring the
 former.

My point of view is that these two are essentially equivalent: in the
N+1 style of voting, a person who thinks that the option isn't the best
would vote for further discussion.

 The way your proposed clarification behaves, you're requiring (I
 think) that if you have an option, S, requiring a supermajority, that
 it be preferred by a supermajority over every option, A, B, C that
 don't require a supermajority (of which No and Further Discussion
 are examples, but others are possible too). I don't think this is
 particularly useful.

I'm guessing that you're saying my view of supermajority isn't
particularly useful is based on your idea where further discussion
is equivalent to a no vote, even though they're disctinct options
on the ballot, and even though the matter is dropped if no wins,
but further votes will be conducted if further discussion wins.

I suppose a literal interpretation of 3:1 supermajority would be that
over 75% of all of debian's developers must be in favor of an item before
it can be passed.  I think that my intepretation of supermajority
is more relaxed than this, but that it's equivalent for the case where
everyone is voting.

  Ok, I think you're basing [your view of my view of supermajority]
  off of my earlier response to a specific example where I thought, at
  the time, you were talking about a vote which mixed a supermajority
  option with a non-supermajority option.
 
 That's the main (sole?) example where it behaves differently to the
 other methods.

I'll agree that the constitution doesn't explictly address this sort
of mixed majority example.

   (b) isn't quite what your system does, though (aiui). If you consider
   the Manoj and Branden's proposed vote, we might end up with people holding
   preferences like:
 120 people prefer M, B, S, F  (Manoj, Branden, Status-Quo, F.Disc)
 100 people prefer B, M, S, F
   This means that the ratio between M and B would be only 6:5, rather than
   3:1, so presumably neither should win (that's what (b) would imply to me)?
  
  If we're talking about *my* interpretation of what the constitution
  is saying, and what it's trying to say, and *my* understanding of that
  particular vote.  And, if we agree that a 3:1 supermajority applies to
  changing the social contract:
 
 (By Manoj's and Branden's proposals, I mean the amendments to the
 constitution to provide a procedure for changing the constitution,
 not any of the non-free votes themselves, since both would change
 the constitution if accepted, both require a supermajority to pass)

[agreed]

  The way I see it, when determining which votes Dominate which others,
  votes which prefer an option with a supermajority are reduced to an
  appropriate fraction (in this case 1/3).  But, 40 Dominates 33 1/3,
  so M wins.
 
 Yes, that's how I understand your interpretation too; it just doesn't
 seem sensible to me to have the voting system be biassed towards options
 that don't require a supermajority (or require a lesser one).

Well.. the constitution seems to explicitly state this.

 That is, given two options, A and B, both of which pass quorum, both of
 which are acceptable to their respective supermajorities, then the one
 that's picked should be the one that's preferred by more people, simple
 as that.

Do you agree 

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-04 Thread Anthony Towns
On Mon, Dec 04, 2000 at 05:03:25PM -0500, Raul Miller wrote:
 On Tue, Dec 05, 2000 at 12:32:12AM +1000, Anthony Towns wrote:
  The Condorcet criterion says that if there's a single option that
  pairwise beats every other option, it should win (assuming there's no
  supermajority requirement, and quorum is met).
 That's a relatively weak criterion, all things considered.

Yeah, well. Most of the time, it's still a good one, though. (It's
applied to all the votes we've actually had.)

  It's what the current A.6(2) and A.6(3) are for. (The Condorcet criterion
  doesn't say anything about the ambiguous cases we've been talking about)
 I thought we'd agreed that they are to ensure that the Smith criterion
 is met (which is more specific than the Condorcet criterion).

What I meant was that there was no reasonable way of misinterpreting A.6(2)
and A.6(3) so that the Condorcet condition wasn't met.

  Ignore all the procedures established in the appendices, and just
  note that a consitutional amendment requires a `3:1 supermajority'
  to succeed. I can only see two things this can be attempting to require:
  * For every person who wouldn't accept it as a resolution, there
must be three who will for it to pass.
 Agreed.
  * For every person who would prefer some other solution, there
must be three who think this is the best solution possible.
 Agreed.
  The way the N+1 style of voting behave, you're effectively requiring the
  former.
 My point of view is that these two are essentially equivalent: in the
 N+1 style of voting, a person who thinks that the option isn't the best
 would vote for further discussion.

Well, they might do that, yes. Or else they might think to themselves, well,
I'm never going to get my preferred choice, and this isn't bad, so yeah,
let's do that. I think that's a valid point of view to hold.

In the current voting system, you'd express that by voting
[ 1 ] My First Preference
[ 2 ] My Second Preference
[ 3 ] Further Disucssion
then, when My Second Preference wins, you'd say Oh well and vote
[ 1 ] Yes
[ 3 ] No
[ 2 ] Further Discussion

Similarly, in the counting scheme I proposed, you'd vote:
[ 1 ] My First Preference
[ 2 ] My Second Preference
[ 3 ] Status-quo (No change, but further discussion possible)
and whichever of First/Second won the majority count would implicitly
be treated as a Yes vote for quorum and supermajority purposes.

If you wanted to only help First Preference achieve its supermajority,
you'd instead vote:
[ 1 ] My First Preference
[ 3 ] My Second Preference
[ 2 ] Status-quo
which would have the same effect as voting NFY (No, Further Discussion,
Yes) on the final vote.

 I'm guessing that you're saying my view of supermajority isn't
 particularly useful is based on your idea where further discussion
 is equivalent to a no vote, even though they're disctinct options
 on the ballot, and even though the matter is dropped if no wins,
 but further votes will be conducted if further discussion wins.

No, your view of supermajority isn't good because it affects other
options than the status-quo options, and raises the odds that they'll win.
An alternative way of looking at it is that there's no way to express
a preference towards a non-supermajority vote without that preference
counting for three preferences the other way. What if I *don't* feel
that strongly about it?

As far as no versus further discussion goes, consider what would
happen if the non-free vote had gone something like: my amendment passes,
so then it's voted on and fails, with No winning. I, personally, would
suspect that John and friends would immediately make a new proposal so
they can get their issue actually voted on, although there would be good
odds that it'd fail a Yes/No vote, just as it did against my amendment.

 I suppose a literal interpretation of 3:1 supermajority would be that
 over 75% of all of debian's developers must be in favor of an item before
 it can be passed. I think that my intepretation of supermajority
 is more relaxed than this, but that it's equivalent for the case where
 everyone is voting.

A supermajority enforces a proportion of yays versus nays, a quorum
enforces a reasonable proportion of the voting membership is represented.

Requiring 75% of developers to vote in an election would basically make
it impossible to ever change anything.

So, I don't think you're being particularly liberal there at all :)

   The way I see it, when determining which votes Dominate which others,
   votes which prefer an option with a supermajority are reduced to an
   appropriate fraction (in this case 1/3).  But, 40 Dominates 33 1/3,
   so M wins.
  Yes, that's how I understand your interpretation too; it just doesn't
  seem sensible to me to have the voting system be biassed towards options
  that don't require a supermajority (or require a lesser one).
 Well.. the 

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-04 Thread Raul Miller
On Tue, Dec 05, 2000 at 12:32:12AM +1000, Anthony Towns wrote:
   The Condorcet criterion says that if there's a single option that
   pairwise beats every other option, it should win (assuming there's no
   supermajority requirement, and quorum is met).

On Mon, Dec 04, 2000 at 05:03:25PM -0500, Raul Miller wrote:
  That's a relatively weak criterion, all things considered.

On Tue, Dec 05, 2000 at 12:06:17PM +1000, Anthony Towns wrote:
 Yeah, well. Most of the time, it's still a good one, though. (It's
 applied to all the votes we've actually had.)

Sounds like we're in agreement here (and, it's true, most of what
we've been talking about is fairly academic).

   It's what the current A.6(2) and A.6(3) are for. (The Condorcet criterion
   doesn't say anything about the ambiguous cases we've been talking about)
  I thought we'd agreed that they are to ensure that the Smith criterion
  is met (which is more specific than the Condorcet criterion).
 
 What I meant was that there was no reasonable way of misinterpreting A.6(2)
 and A.6(3) so that the Condorcet condition wasn't met.

Ok, no problem.

   Ignore all the procedures established in the appendices, and just
   note that a consitutional amendment requires a `3:1 supermajority'
   to succeed. I can only see two things this can be attempting to require:
 * For every person who wouldn't accept it as a resolution, there
   must be three who will for it to pass.
  Agreed.
 * For every person who would prefer some other solution, there
   must be three who think this is the best solution possible.
  Agreed.
   The way the N+1 style of voting behave, you're effectively requiring the
   former.
  My point of view is that these two are essentially equivalent: in the
  N+1 style of voting, a person who thinks that the option isn't the best
  would vote for further discussion.
 
 Well, they might do that, yes. Or else they might think to themselves, well,
 I'm never going to get my preferred choice, and this isn't bad, so yeah,
 let's do that. I think that's a valid point of view to hold.
 
 In the current voting system, you'd express that by voting
   [ 1 ] My First Preference
   [ 2 ] My Second Preference
   [ 3 ] Further Disucssion
 then, when My Second Preference wins, you'd say Oh well and vote
   [ 1 ] Yes
   [ 3 ] No
   [ 2 ] Further Discussion

Indeed, things could happen this way.  [Personally, I'm not sure I'd
say Oh well -- if My First Preference was important to me, I'd very
likely vote 1: further discussion, 2: yes, 3: no -- this wouldn't have a
substantially different effect, unless some of the people who had voted
the other way had second thoughts, or unless more people participated
in the second vote.]

 Similarly, in the counting scheme I proposed, you'd vote:

Er.. I've been trying to find your proposal.  Looking for the word
counting in the message body, the closest to a proposal I've found
in your recent posts is:
Message-ID: [EMAIL PROTECTED]

If you can point me at the right message, I'll try to get back to
your proposal.  [Thanks.]

  I'm guessing that you're saying my view of supermajority isn't
  particularly useful is based on your idea where further discussion
  is equivalent to a no vote, even though they're disctinct options
  on the ballot, and even though the matter is dropped if no wins,
  but further votes will be conducted if further discussion wins.
 
 No, your view of supermajority isn't good because it affects other
 options than the status-quo options, and raises the odds that they'll win.
 An alternative way of looking at it is that there's no way to express
 a preference towards a non-supermajority vote without that preference
 counting for three preferences the other way. What if I *don't* feel
 that strongly about it?

Well.. if supermajority decreases the chance that an option will win,
then, yes, that does tend to bias things in the direction of alternatives.

To avoid this bias, you seem to want to bias things away from the
alternatives, and in favor of the choice between the supermajority option,
and what you call the status quo option.

Anyways, the vote has to have some kind of outcome.

 As far as no versus further discussion goes, consider what would
 happen if the non-free vote had gone something like: my amendment
 passes, so then it's voted on and fails, with No winning. I,
 personally, would suspect that John and friends would immediately make
 a new proposal so they can get their issue actually voted on, although
 there would be good odds that it'd fail a Yes/No vote, just as it did
 against my amendment.

He'd be silly to propose something substantially similar unless it was
a very close vote.

  I suppose a literal interpretation of 3:1 supermajority would be that
  over 75% of all of debian's developers must be in favor of an item before
  it can be passed. I think that my intepretation of supermajority
  is more relaxed than this, but that it's equivalent for the 

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-04 Thread Buddha Buck
I'm back from vacation now...I've read the other posts, but I'm 
probably not going to respond to them (too many to process all at 
once...)  So I'll just pick up here.

 On Tue, Dec 05, 2000 at 12:32:12AM +1000, Anthony Towns wrote:
  The Condorcet criterion says that if there's a single option that
  pairwise beats every other option, it should win (assuming there's no
  supermajority requirement, and quorum is met).
 
 That's a relatively weak criterion, all things considered.

All things considered just being:

-- it doesn't deal with supermajorities
-- it doesn't deal with quorum issues
-- it doesn't state what should happen if there isn't a single option
   that pairwise beats every other option.

or are there other things to consider that make it weak?

The Condorcet Criterion isn't a voting method.  It's a property that 
voting methods may (or may not) have.  It is part of the theory of 
single-winner elections, which mainly concerns itself with votes where 
one winner out of many procedurally equal candidates must be chosen.  
Supermajority isn't considered.  Neither does quorum issues.
The same goes with the Smith Criterion.

  It's what the current A.6(2) and A.6(3) are for. (The Condorcet criterion
  doesn't say anything about the ambiguous cases we've been talking about)
 
 I thought we'd agreed that they are to ensure that the Smith criterion
 is met (which is more specific than the Condorcet criterion).

If A.6(3) is supposed to reduce the options to the Smith set, it is 
very poorly written.

A.6(4) is, in the context of A.6(2), an -exact- statement of the Condorcet 
Criterion. 
 Because of A.6(4) and A.6(2), the voting scheme we are using (in the 
absence of quorum or supermajority requirements) by definition meets 
the Condorcet Criterion.

  Ignore all the procedures established in the appendices, and just
  note that a consitutional amendment requires a `3:1 supermajority'
  to succeed. I can only see two things this can be attempting to require:
  
  * For every person who wouldn't accept it as a resolution, there
must be three who will for it to pass.
 
 Agreed.
 
  * For every person who would prefer some other solution, there
must be three who think this is the best solution possible.
 
 Agreed.
 
  The way the N+1 style of voting behave, you're effectively requiring the
  former.
 
 My point of view is that these two are essentially equivalent: in the
 N+1 style of voting, a person who thinks that the option isn't the best
 would vote for further discussion.

Clarification request:  N+1 style of voting means to first hold a series of 
votes to decide a final form of the amendment, followed by a single 
Y/N/F ballot?

So what you are saying is that you feel that if in the first of two 
ballots, I voted  ABFC, and B was determined to be the winner of the 
ballot, then I should vote either of FNY or FYN on the final ballot?

If the first ballot was:

  A. Grant Buddha Buck a $10,000 Debian Fellowship
  B. Grant Buddha Buck a $ 1,000 Debian Fellowship
  C. Grant Bill Gates  a $10,000 Debian Fellowship
  D. Grant Bill Gates  a $ 1,000 Debian Fellowship
  F. Further Discussion

and I unethically ignored the conflict of interest issue, I would most 
certainly vote ABFDC.  If B were the unambiguous winner of the first 
ballot (under A.6(4)), you feel that in the final vote, I should vote 
FYN, because I think that the $10,000 is better than the $1,000?

I think that most people would vote YNF or YFN in the final ballot if 
they felt that accepting the resolution was preferable to the other 
two options.  I think that if there had already been N votes, most 
people would be inclined to vote F last (if at all) rather than risk 
having to continue the discussion.

-- 
 Buddha Buck [EMAIL PROTECTED]
Just as the strength of the Internet is chaos, so the strength of our
liberty depends upon the chaos and cacophony of the unfettered speech
the First Amendment protects.  -- A.L.A. v. U.S. Dept. of Justice




Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-03 Thread Raul Miller

On Sat, Dec 02, 2000 at 01:07:26AM +1000, Anthony Towns wrote:
   "Status-quo" means don't resolve *anything*. There are at most two
   ways of doing that: by doing nothing, and not even discussing the
   matter again, and by doing nothing constructive, but continuing to
   flame each other. I personally don't think that's a distinction
   that'll be successfully determined by a vote, though.

On Sat, Dec 02, 2000 at 03:17:05AM -0500, Raul Miller wrote:
  I disagree.
  Status-quo in the context of supermajority means don't do anything that
  requires supermajority.  That can still leave a lot of options.

On Sun, Dec 03, 2000 at 05:02:29PM +1000, Anthony Towns wrote:
 Well, you're welcome to disagree, but be aware that your definition
 doesn't match the way the current system (the N+1 votes) works, and
 doesn't match the way most systems work (which only provide "No, don't
 resolve this" as a `status-quo' option).

You're implicitly claiming here that:

[1] The default option (further discussion) isn't a status quo
option.

[2] A.3(3) votes will not contain *any* status quo options.

I should also elaborate, before we drift too far: My understanding
of supermajority is that you always scale the number of votes for a
supermajority option.  If you compare one option with supermajority to
another option with supermajority, you scale the votes for both of them
(and thus there's no particular effect).  [I suppose, in principle, 
you could have options with different supermajority factors, but I've
been ignoring that up to now.]

Status quo options are, thus, options without supermajority.

 Biassing the results towards options that don't require a supermajority
 doesn't seem a particularly useful thing to do to me [0].

Supermajority means that more than a majority of voters must be in favor
of the option before it can pass.  A 3:1 supermajority means you have
to exceed 3 voters in favor for every one voter against, before the option
will pass.

If that's not biasing towards options which don't require a supermajority
(which only need to exceed 1 voter in favor for every one voter against),
I'd like to know what is?

[And, if you want to claim that this isn't what the constitution claims,
please supplement that claim with a relevant quote from the constitution
and an explanation of your reasoning.]

 [0] I say "biassing" since if you take a vote where you have two options:
   * Modify social contract (M) (requires 3:1 supermajority)
   * Do nothing (N)

For there to be only two options you'd have to have a vote without a
quorum.  

 and M has unanimous support over N, and then add a third option:
   * Evade constitution (E)

If M really has unanimous support, you wouldn't add a new option --
no one would want a new option.  Adding a new option only happens:

[*] before the vote is taken, and
[*] when someone prefers some other option, and
[*] suggests it, and
[*] other people agree that this is a good idea (sponsor it).

 (which would resolve that, say, "No new .debs will be added to
 non-free, and wherever possible .debs already there will be removed"),
 which is preferred over N by everyone, but preferred over M by just
 over a quarter of the voters, it'd win.

That's my understanding of how the constitutional voting system is
supposed to work, presuming that you'd manage to come up with a vote
with those kind of numbers and options, yes.

I'll note that there are other ways the ballot could have been
constructed, as far as introducing a gradual phase out.  For example,
the people proposing E could have proposed "amend the constitution AND
phase out gradually".  If they proposed "phase out gradually and do not
amend the constitution", then presumably they really are having second
thoughts about amending the constitution, and don't want it amended.

The voting system (and debian itself) isn't going to work if people
pretend to want things they don't want.

 This isn't what would happen in the current system (E would be
 dismissed when deciding on the form of the resolution), and isn't,
 IMO, a reasonable outcome at all.

That's my understanding of what Darren was proposing to implement,
on vote 8, yes.

And, I'll assert that both are reasonable interpretations of the
constitution.  I think that my current understanding is closer to
the intent of the constitution, but I don't think there's anything
earth-shatteringly wrong with either approach.

I do agree that it would be a good idea to modify the constitution so
that it unambiguously specifies which approach is correct.

-- 
Raul


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Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-03 Thread Anthony Towns

On Sun, Dec 03, 2000 at 06:11:07AM -0500, Raul Miller wrote:
 On Sun, Dec 03, 2000 at 05:02:29PM +1000, Anthony Towns wrote:
  Well, you're welcome to disagree, but be aware that your definition
  doesn't match the way the current system (the N+1 votes) works, and
  doesn't match the way most systems work (which only provide "No, don't
  resolve this" as a `status-quo' option).
 You're implicitly claiming here that:
 [1] The default option (further discussion) isn't a status quo
 option.

Eh? No, I'm claiming no such thing. If "further discussion" wins, then
no, we don't resolve anything. We may later have another vote, and we
may resolve something then, but we don't resolve anything as a result
of the vote.

I will assert that the options "no" and "further discussion" aren't
usefully different.

 [2] A.3(3) votes will not contain *any* status quo options.

I'll also note that your interpretation of A.3(3) isn't one I'm willing
to make, and as such, I'm not really inclined to speculate what options
the secretary might include in such a vote.

Either "further discussion" or "no" is a status-quo option though: nothing
changes as a result of the vote.

 Status quo options are, thus, options without supermajority.

You're basing this on the mechanics of how a supermajority might be
checked, not what it's there for in the first place.

  From WordNet (r) 1.6 [wn]:
status quo
 n : the existing state of affairs

Passing some other possibility, even one without supermajority
requirements isn't keeping the existing state of affairs.

It would certainly be an odd situation where the status-quo required
supermajority support to remain that way, but not every possibility that
doesn't require supermajority support is equivalent to the status-quo.

  Biassing the results towards options that don't require a supermajority
  doesn't seem a particularly useful thing to do to me [0].
 Supermajority means that more than a majority of voters must be in favor
 of the option before it can pass.

The term "in favour" isn't really very helpful. Do you mean "exclusively
in favour of, in preference to all other possibilities", or do you mean
"in favour of, in preference to how Debian is at the moment"?

 If that's not biasing towards options which don't require a supermajority
 (which only need to exceed 1 voter in favor for every one voter against),
 I'd like to know what is?

I'd like you to show one other voting system in use where supermajority
is interpreted in this way.

 [And, if you want to claim that this isn't what the constitution claims,
 please supplement that claim with a relevant quote from the constitution
 and an explanation of your reasoning.]

I've done this a number of times on this list already. If you'd like to
provide actual reasons for your interpretation, perhaps it'd be worth
having a discussion about it.

  [0] I say "biassing" since if you take a vote where you have two options:
  * Modify social contract (M) (requires 3:1 supermajority)
  * Do nothing (N)
 For there to be only two options you'd have to have a vote without a
 quorum.  

"Further Discussion" is a good enough stand in for "Do Nothing". You
could, alternatively add "Further Discussion" as a third option, which
everyone puts last.

  and M has unanimous support over N, and then add a third option:
  * Evade constitution (E)
 If M really has unanimous support, you wouldn't add a new option --
 no one would want a new option.  Adding a new option only happens:

No, M has unanimous suppoer over N, that is everyone prefers it to
the current situation. That is, everyone wants to get rid of non-free.
A minority of those people would rather do it by exploiting loopholes in
the social contract ("We'll continue to provide non-free for download,
but we won't necessarily allow people to upload to it!! Muahahaha").

Why, exactly, is it so undesirable to modify the social contract that
we should just ignore the expressed preferences of half/three-quarters
of the developer body, and take the "easier" solution, instead?

Certainly, we should make sure that everyone prefers the modified social
contract to what it says at the moment, but there's no good reason to
accept *any* other option in favour of one requiring a supermajority.

 That's my understanding of how the constitutional voting system is
 supposed to work,

Considering, under the most liberal interpretation, the constitution
describes two methods, one of which works that way, and one of which
works the other way, it seems a little bold to say that the constitution
is *supposed* to act that way.

Certainly, I think the constitution pretty clearly indicates that's
*not* how votes are meant to be handled or interpreted.

 I'll note that there are other ways the ballot could have been
 constructed, as far as introducing a gradual phase out.  For example,
 the people proposing E could have proposed "amend the constitution AND
 phase out gradually".  If they proposed 

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-03 Thread Raul Miller

On Sun, Dec 03, 2000 at 10:13:58PM +1000, Anthony Towns wrote:
   I will assert that the options "no" and "further discussion" aren't
   usefully different.

On Sun, Dec 03, 2000 at 08:49:38AM -0500, Raul Miller wrote:
  They're procedurally different, however.

On Mon, Dec 04, 2000 at 12:31:23AM +1000, Anthony Towns wrote:
 Not particularly so. If "No" wins the final vote, does that actually
 stop people from continuing discussion, and proposing a new vote? If
 "Further Discussion" wins, does that actually require people to continue
 discussing things, or does it ensure the newly reset vote doesn't expire?

"No" is a vote against all the whole idea under discussion, and
indicates how the person would vote on future such ballots.

"Further discussion" is a vote against the ballot itself -- it's
a vote for an option not present on the ballot.

  I claim that "my first preference is yes on option A", is a yes vote
  for option A.  And, if A requires a supermajority, then A.6(7) applies.
  Do you claim this is not an actual reason?  Why?
 
 You're also claiming that "my second preference is a yes on option A"
 is a no vote for option A.
 
 I'm claiming that "I prefer option A to the status quo" is a yes vote
 for A, and "I prefer the status quo to option A" is a no vote for A, at
 least as far as quorum and the supermajority are concerned.

Actually, if you're talking about a properly formed A.3(3) vote, where
you're voting on option A and independent option B, there should be
on the ballot:

Yes on A and B
Yes on A, no on B
Yes on B no on A
no on A, no on B
further discussion.

 and M has unanimous support over N, and then add a third option:
   * Evade constitution (E)
If M really has unanimous support, you wouldn't add a new option --
no one would want a new option.  Adding a new option only happens:
   No, M has unanimous suppoer over N, that is everyone prefers it to
   the current situation. That is, everyone wants to get rid of non-free.
   A minority of those people would rather do it by exploiting loopholes in
   the social contract ("We'll continue to provide non-free for download,
   but we won't necessarily allow people to upload to it!! Muahahaha").
   Why, exactly, is it so undesirable to modify the social contract that
   we should just ignore the expressed preferences of half/three-quarters
   of the developer body, and take the "easier" solution, instead?
  I don't actually know, this is your fantasy.
 
 Well, it's also the result of your interpretation of the constitution, and
 your proposed changes to the constitution.

 The *sole* reason that "E" wins in the above is because the alternative
 preferred by the majority modifies the social contract. It's not because
 that alternative doesn't have supermajority support over the status-quo.
 It's not because most people dislike. It's not even because most people
 prefer some other option.

It's not even a well formed ballot, near as I can tell.  It's just an
exercise in numbers.

 I assert that the purpose of supermajority requirements (like the
 purpose of a quorum requirement) is simply to ensure that the
 character of the organisation doesn't change without due consideration
 by the members of the organisation.

For some definition of "due consideration".  I assert that it's a
requirement for greater than majority agreement.

 Your scheme seems to give it a meaning more like "try to choose
 any other possible alternative that doesn't involve modifying the
 constitution or overturning a decision of the tech ctte or whatever
 else might require a supermajority".

Those sorts of things only require a majority agreement, yes.

That's my understanding of how the constitutional voting system is
supposed to work,
   Considering, under the most liberal interpretation, the constitution
   describes two methods, one of which works that way, and one of which
   works the other way, it seems a little bold to say that the constitution
   is *supposed* to act that way.
   Certainly, I think the constitution pretty clearly indicates that's
   *not* how votes are meant to be handled or interpreted.
  Eh?  If there's a sequence of votes, and people don't like the way
  that sequence went, they can vote against the final option.  They
  can even keep the sequence going at the same time by voting for
  "further discussion".
 
 Even on an A.3(3) vote in your interpretation?
 
 Could you please give an example of some possible ways of conducting
 a vote that includes at least "remove non-free" and "move non-free to
 unofficial.debian.org", assuming that "remove non-free" modifies the
 social contract, and that that requires a supermajority?

See above "properly formed A.3(3)".  Use "remove non-free" as option 
A, and "move non-free to unofficial.debian.org" as option B.

   If they then get their supermajority support, why then ignore the stated
   preferences of the voters, and choose the unnecessary compromise position
   

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-03 Thread Raul Miller

  Actually, if you're talking about a properly formed A.3(3) vote, where
  you're voting on option A and independent option B, there should be
  on the ballot:
  Yes on A and B
  Yes on A, no on B
  Yes on B no on A
  no on A, no on B
  further discussion.

On Mon, Dec 04, 2000 at 11:46:55AM +1000, Anthony Towns wrote:
 Okay, now consider the vote being proposed by Manoj and Branden, then
 one that has alternatives "Allow modification of foundational documents
 with 3:1 supermajority" and "Allow modification to all documents".

These are not independent options.

 Note that the discussion so far seems to indicate the issue will be
 resolved by a single vote with the options:
 
   [ ] Allow modification of foundati...
   [ ] Allow modification to all docu...
   [ ] Further discussion
 
 Is this a third way of allowing issues to be decided supposedly allowed
 by the constitution, with yet another different bias towards choosing
 a winner in corner cases?

These are not independent options.  Note also that the constitution
allows for the caller of the vote to state what form the ballot
should take.

 Supposing "A" and "B" are contradictory in your example above (ie,
 "remove non-free" and "support non-free", or "modify 4.1.5 to say foo"
 and "modify 4.1.5 to say bar", what happens if "Yes on A, Yes on B"
 wins the vote?

That wasn't the case for your earlier example, in the message I
was responding to.

 Note if you have more than two real alternatives, you get an exponential
 increase in the number of options listed on the ballot; if these options
 are mutually exclusive almost all of these options will be incoherent.

Obviously.

 Consider the leadership elecions we've had, by section 4.1.1 and 4.2.1
 we use the the procedures outlined in appendix A to resolve them. Have
 the leader elections been invalid (since the ballots only had the various
 candidates and "further discussion" as options, and we were never given
 an option to vote "yes" or "no"), and if so, will future ones be
 conducted so we get to vote for:
 
   [ ] Yes to "Wichert as Leader", yes to "Ben Collins as leader",
   Yes to "Joel Klecker as Leader", yes to "Matthew Vernon as
   Leader"
   [ ] ...
 
 ?
 
 I was under the impression your interpretation of A.3(3) was mainly to
 make the previous votes we've had constitutional.
 
 I'm not seeing what relevance `YYY/YYN/YNY/YNN/...' votes have to this
 discussion at all. They're not something we've ever done, and they seem
 way to awkward to be anything we'd ever want to do.

I get the feeling you're not even trying to see how what I'm talking
about relates to what's said in the constitution.  Certainly, you're
not quoting from the constitution in your "refutations" of my points.

-- 
Raul


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Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-03 Thread Anthony Towns
On Sun, Dec 03, 2000 at 06:11:07AM -0500, Raul Miller wrote:
 On Sun, Dec 03, 2000 at 05:02:29PM +1000, Anthony Towns wrote:
  Well, you're welcome to disagree, but be aware that your definition
  doesn't match the way the current system (the N+1 votes) works, and
  doesn't match the way most systems work (which only provide No, don't
  resolve this as a `status-quo' option).
 You're implicitly claiming here that:
 [1] The default option (further discussion) isn't a status quo
 option.

Eh? No, I'm claiming no such thing. If further discussion wins, then
no, we don't resolve anything. We may later have another vote, and we
may resolve something then, but we don't resolve anything as a result
of the vote.

I will assert that the options no and further discussion aren't
usefully different.

 [2] A.3(3) votes will not contain *any* status quo options.

I'll also note that your interpretation of A.3(3) isn't one I'm willing
to make, and as such, I'm not really inclined to speculate what options
the secretary might include in such a vote.

Either further discussion or no is a status-quo option though: nothing
changes as a result of the vote.

 Status quo options are, thus, options without supermajority.

You're basing this on the mechanics of how a supermajority might be
checked, not what it's there for in the first place.

  From WordNet (r) 1.6 [wn]:
status quo
 n : the existing state of affairs

Passing some other possibility, even one without supermajority
requirements isn't keeping the existing state of affairs.

It would certainly be an odd situation where the status-quo required
supermajority support to remain that way, but not every possibility that
doesn't require supermajority support is equivalent to the status-quo.

  Biassing the results towards options that don't require a supermajority
  doesn't seem a particularly useful thing to do to me [0].
 Supermajority means that more than a majority of voters must be in favor
 of the option before it can pass.

The term in favour isn't really very helpful. Do you mean exclusively
in favour of, in preference to all other possibilities, or do you mean
in favour of, in preference to how Debian is at the moment?

 If that's not biasing towards options which don't require a supermajority
 (which only need to exceed 1 voter in favor for every one voter against),
 I'd like to know what is?

I'd like you to show one other voting system in use where supermajority
is interpreted in this way.

 [And, if you want to claim that this isn't what the constitution claims,
 please supplement that claim with a relevant quote from the constitution
 and an explanation of your reasoning.]

I've done this a number of times on this list already. If you'd like to
provide actual reasons for your interpretation, perhaps it'd be worth
having a discussion about it.

  [0] I say biassing since if you take a vote where you have two options:
  * Modify social contract (M) (requires 3:1 supermajority)
  * Do nothing (N)
 For there to be only two options you'd have to have a vote without a
 quorum.  

Further Discussion is a good enough stand in for Do Nothing. You
could, alternatively add Further Discussion as a third option, which
everyone puts last.

  and M has unanimous support over N, and then add a third option:
  * Evade constitution (E)
 If M really has unanimous support, you wouldn't add a new option --
 no one would want a new option.  Adding a new option only happens:

No, M has unanimous suppoer over N, that is everyone prefers it to
the current situation. That is, everyone wants to get rid of non-free.
A minority of those people would rather do it by exploiting loopholes in
the social contract (We'll continue to provide non-free for download,
but we won't necessarily allow people to upload to it!! Muahahaha).

Why, exactly, is it so undesirable to modify the social contract that
we should just ignore the expressed preferences of half/three-quarters
of the developer body, and take the easier solution, instead?

Certainly, we should make sure that everyone prefers the modified social
contract to what it says at the moment, but there's no good reason to
accept *any* other option in favour of one requiring a supermajority.

 That's my understanding of how the constitutional voting system is
 supposed to work,

Considering, under the most liberal interpretation, the constitution
describes two methods, one of which works that way, and one of which
works the other way, it seems a little bold to say that the constitution
is *supposed* to act that way.

Certainly, I think the constitution pretty clearly indicates that's
*not* how votes are meant to be handled or interpreted.

 I'll note that there are other ways the ballot could have been
 constructed, as far as introducing a gradual phase out.  For example,
 the people proposing E could have proposed amend the constitution AND
 phase out gradually.  If they proposed phase out gradually and do not
 amend 

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-03 Thread Anthony Towns
On Sun, Dec 03, 2000 at 08:49:38AM -0500, Raul Miller wrote:
 On Sun, Dec 03, 2000 at 10:13:58PM +1000, Anthony Towns wrote:
  I will assert that the options no and further discussion aren't
  usefully different.
 They're procedurally different, however.

Not particularly so. If No wins the final vote, does that actually
stop people from continuing discussion, and proposing a new vote? If
Further Discussion wins, does that actually require people to continue
discussing things, or does it ensure the newly reset vote doesn't expire?

   If that's not biasing towards options which don't require a supermajority
   (which only need to exceed 1 voter in favor for every one voter against),
   I'd like to know what is?
  I'd like you to show one other voting system in use where supermajority
  is interpreted in this way.
 Why?  This is debian-vote, not congress-vote.

To give some evidence that your interpretation is reasonable. It doesn't
have to be something an American government uses.

 I claim that my first preference is yes on option A, is a yes vote
 for option A.  And, if A requires a supermajority, then A.6(7) applies.
 Do you claim this is not an actual reason?  Why?

You're also claiming that my second preference is a yes on option A
is a no vote for option A.

I'm claiming that I prefer option A to the status quo is a yes vote
for A, and I prefer the status quo to option A is a no vote for A, at
least as far as quorum and the supermajority are concerned.

and M has unanimous support over N, and then add a third option:
* Evade constitution (E)
   If M really has unanimous support, you wouldn't add a new option --
   no one would want a new option.  Adding a new option only happens:
  No, M has unanimous suppoer over N, that is everyone prefers it to
  the current situation. That is, everyone wants to get rid of non-free.
  A minority of those people would rather do it by exploiting loopholes in
  the social contract (We'll continue to provide non-free for download,
  but we won't necessarily allow people to upload to it!! Muahahaha).
  Why, exactly, is it so undesirable to modify the social contract that
  we should just ignore the expressed preferences of half/three-quarters
  of the developer body, and take the easier solution, instead?
 I don't actually know, this is your fantasy.

Well, it's also the result of your interpretation of the constitution, and
your proposed changes to the constitution.

The *sole* reason that E wins in the above is because the alternative
preferred by the majority modifies the social contract. It's not because
that alternative doesn't have supermajority support over the status-quo.
It's not because most people dislike. It's not even because most people
prefer some other option.

I assert that the purpose of supermajority requirements (like the purpose
of a quorum requirement) is simply to ensure that the character of the
organisation doesn't change without due consideration by the members of
the organisation.

Your scheme seems to give it a meaning more like try to choose any other
possible alternative that doesn't involve modifying the constitution or
overturning a decision of the tech ctte or whatever else might require
a supermajority.

  Certainly, we should make sure that everyone prefers the modified
  social contract to what it says at the moment, but there's no good
  reason to accept *any* other option in favour of one requiring a
  supermajority.
 You don't put just *any* option on the ballot.  Only alternatives.

any other *alternative* then.

   That's my understanding of how the constitutional voting system is
   supposed to work,
  Considering, under the most liberal interpretation, the constitution
  describes two methods, one of which works that way, and one of which
  works the other way, it seems a little bold to say that the constitution
  is *supposed* to act that way.
  Certainly, I think the constitution pretty clearly indicates that's
  *not* how votes are meant to be handled or interpreted.
 Eh?  If there's a sequence of votes, and people don't like the way
 that sequence went, they can vote against the final option.  They
 can even keep the sequence going at the same time by voting for
 further discussion.

Even on an A.3(3) vote in your interpretation?

Could you please give an example of some possible ways of conducting
a vote that includes at least remove non-free and move non-free to
unofficial.debian.org, assuming that remove non-free modifies the
social contract, and that that requires a supermajority?

  If they then get their supermajority support, why then ignore the stated
  preferences of the voters, and choose the unnecessary compromise position
  anyway?
 Because people voted for a different option from the one which required
 supermajority.  Do you want to discount someone's vote on the basis
 that you find their position disagreeable?

Again, you don't vote for or against an option when you're expressing

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-03 Thread Raul Miller
On Sun, Dec 03, 2000 at 10:13:58PM +1000, Anthony Towns wrote:
   I will assert that the options no and further discussion aren't
   usefully different.

On Sun, Dec 03, 2000 at 08:49:38AM -0500, Raul Miller wrote:
  They're procedurally different, however.

On Mon, Dec 04, 2000 at 12:31:23AM +1000, Anthony Towns wrote:
 Not particularly so. If No wins the final vote, does that actually
 stop people from continuing discussion, and proposing a new vote? If
 Further Discussion wins, does that actually require people to continue
 discussing things, or does it ensure the newly reset vote doesn't expire?

No is a vote against all the whole idea under discussion, and
indicates how the person would vote on future such ballots.

Further discussion is a vote against the ballot itself -- it's
a vote for an option not present on the ballot.

  I claim that my first preference is yes on option A, is a yes vote
  for option A.  And, if A requires a supermajority, then A.6(7) applies.
  Do you claim this is not an actual reason?  Why?
 
 You're also claiming that my second preference is a yes on option A
 is a no vote for option A.
 
 I'm claiming that I prefer option A to the status quo is a yes vote
 for A, and I prefer the status quo to option A is a no vote for A, at
 least as far as quorum and the supermajority are concerned.

Actually, if you're talking about a properly formed A.3(3) vote, where
you're voting on option A and independent option B, there should be
on the ballot:

Yes on A and B
Yes on A, no on B
Yes on B no on A
no on A, no on B
further discussion.

 and M has unanimous support over N, and then add a third option:
   * Evade constitution (E)
If M really has unanimous support, you wouldn't add a new option --
no one would want a new option.  Adding a new option only happens:
   No, M has unanimous suppoer over N, that is everyone prefers it to
   the current situation. That is, everyone wants to get rid of non-free.
   A minority of those people would rather do it by exploiting loopholes in
   the social contract (We'll continue to provide non-free for download,
   but we won't necessarily allow people to upload to it!! Muahahaha).
   Why, exactly, is it so undesirable to modify the social contract that
   we should just ignore the expressed preferences of half/three-quarters
   of the developer body, and take the easier solution, instead?
  I don't actually know, this is your fantasy.
 
 Well, it's also the result of your interpretation of the constitution, and
 your proposed changes to the constitution.

 The *sole* reason that E wins in the above is because the alternative
 preferred by the majority modifies the social contract. It's not because
 that alternative doesn't have supermajority support over the status-quo.
 It's not because most people dislike. It's not even because most people
 prefer some other option.

It's not even a well formed ballot, near as I can tell.  It's just an
exercise in numbers.

 I assert that the purpose of supermajority requirements (like the
 purpose of a quorum requirement) is simply to ensure that the
 character of the organisation doesn't change without due consideration
 by the members of the organisation.

For some definition of due consideration.  I assert that it's a
requirement for greater than majority agreement.

 Your scheme seems to give it a meaning more like try to choose
 any other possible alternative that doesn't involve modifying the
 constitution or overturning a decision of the tech ctte or whatever
 else might require a supermajority.

Those sorts of things only require a majority agreement, yes.

That's my understanding of how the constitutional voting system is
supposed to work,
   Considering, under the most liberal interpretation, the constitution
   describes two methods, one of which works that way, and one of which
   works the other way, it seems a little bold to say that the constitution
   is *supposed* to act that way.
   Certainly, I think the constitution pretty clearly indicates that's
   *not* how votes are meant to be handled or interpreted.
  Eh?  If there's a sequence of votes, and people don't like the way
  that sequence went, they can vote against the final option.  They
  can even keep the sequence going at the same time by voting for
  further discussion.
 
 Even on an A.3(3) vote in your interpretation?
 
 Could you please give an example of some possible ways of conducting
 a vote that includes at least remove non-free and move non-free to
 unofficial.debian.org, assuming that remove non-free modifies the
 social contract, and that that requires a supermajority?

See above properly formed A.3(3).  Use remove non-free as option 
A, and move non-free to unofficial.debian.org as option B.

   If they then get their supermajority support, why then ignore the stated
   preferences of the voters, and choose the unnecessary compromise position
   anyway?
  Because people voted for a different 

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-03 Thread Anthony Towns
On Sun, Dec 03, 2000 at 07:35:17PM -0500, Raul Miller wrote:
   I claim that my first preference is yes on option A, is a yes vote
   for option A.  And, if A requires a supermajority, then A.6(7) applies.
   Do you claim this is not an actual reason?  Why?
  You're also claiming that my second preference is a yes on option A
  is a no vote for option A.
  I'm claiming that I prefer option A to the status quo is a yes vote
  for A, and I prefer the status quo to option A is a no vote for A, at
  least as far as quorum and the supermajority are concerned.
 Actually, if you're talking about a properly formed A.3(3) vote, where
 you're voting on option A and independent option B, there should be
 on the ballot:
 Yes on A and B
 Yes on A, no on B
 Yes on B no on A
 no on A, no on B
 further discussion.

Okay, now consider the vote being proposed by Manoj and Branden, then
one that has alternatives Allow modification of foundational documents
with 3:1 supermajority and Allow modification to all documents.

Note that the discussion so far seems to indicate the issue will be
resolved by a single vote with the options:

[ ] Allow modification of foundati...
[ ] Allow modification to all docu...
[ ] Further discussion

Is this a third way of allowing issues to be decided supposedly allowed
by the constitution, with yet another different bias towards choosing
a winner in corner cases?

Supposing A and B are contradictory in your example above (ie,
remove non-free and support non-free, or modify 4.1.5 to say foo
and modify 4.1.5 to say bar, what happens if Yes on A, Yes on B
wins the vote?

Note if you have more than two real alternatives, you get an exponential
increase in the number of options listed on the ballot; if these options
are mutually exclusive almost all of these options will be incoherent.

Consider the leadership elecions we've had, by section 4.1.1 and 4.2.1
we use the the procedures outlined in appendix A to resolve them. Have
the leader elections been invalid (since the ballots only had the various
candidates and further discussion as options, and we were never given
an option to vote yes or no), and if so, will future ones be
conducted so we get to vote for:

[ ] Yes to Wichert as Leader, yes to Ben Collins as leader,
Yes to Joel Klecker as Leader, yes to Matthew Vernon as
Leader
[ ] ...

?

I was under the impression your interpretation of A.3(3) was mainly to
make the previous votes we've had constitutional.

I'm not seeing what relevance `YYY/YYN/YNY/YNN/...' votes have to this
discussion at all. They're not something we've ever done, and they seem
way to awkward to be anything we'd ever want to do.

Cheers,
aj

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Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-03 Thread Raul Miller
  Actually, if you're talking about a properly formed A.3(3) vote, where
  you're voting on option A and independent option B, there should be
  on the ballot:
  Yes on A and B
  Yes on A, no on B
  Yes on B no on A
  no on A, no on B
  further discussion.

On Mon, Dec 04, 2000 at 11:46:55AM +1000, Anthony Towns wrote:
 Okay, now consider the vote being proposed by Manoj and Branden, then
 one that has alternatives Allow modification of foundational documents
 with 3:1 supermajority and Allow modification to all documents.

These are not independent options.

 Note that the discussion so far seems to indicate the issue will be
 resolved by a single vote with the options:
 
   [ ] Allow modification of foundati...
   [ ] Allow modification to all docu...
   [ ] Further discussion
 
 Is this a third way of allowing issues to be decided supposedly allowed
 by the constitution, with yet another different bias towards choosing
 a winner in corner cases?

These are not independent options.  Note also that the constitution
allows for the caller of the vote to state what form the ballot
should take.

 Supposing A and B are contradictory in your example above (ie,
 remove non-free and support non-free, or modify 4.1.5 to say foo
 and modify 4.1.5 to say bar, what happens if Yes on A, Yes on B
 wins the vote?

That wasn't the case for your earlier example, in the message I
was responding to.

 Note if you have more than two real alternatives, you get an exponential
 increase in the number of options listed on the ballot; if these options
 are mutually exclusive almost all of these options will be incoherent.

Obviously.

 Consider the leadership elecions we've had, by section 4.1.1 and 4.2.1
 we use the the procedures outlined in appendix A to resolve them. Have
 the leader elections been invalid (since the ballots only had the various
 candidates and further discussion as options, and we were never given
 an option to vote yes or no), and if so, will future ones be
 conducted so we get to vote for:
 
   [ ] Yes to Wichert as Leader, yes to Ben Collins as leader,
   Yes to Joel Klecker as Leader, yes to Matthew Vernon as
   Leader
   [ ] ...
 
 ?
 
 I was under the impression your interpretation of A.3(3) was mainly to
 make the previous votes we've had constitutional.
 
 I'm not seeing what relevance `YYY/YYN/YNY/YNN/...' votes have to this
 discussion at all. They're not something we've ever done, and they seem
 way to awkward to be anything we'd ever want to do.

I get the feeling you're not even trying to see how what I'm talking
about relates to what's said in the constitution.  Certainly, you're
not quoting from the constitution in your refutations of my points.

-- 
Raul



Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-02 Thread Raul Miller

On Sat, Dec 02, 2000 at 12:45:53AM +1000, Anthony Towns wrote:
 This summary is completely wrong for any Condorcet scheme.

Ok...

By definition, any member of the smith set is a plausible winner of
a vote.  So there's no way to show an implausible winner, if we've
restricted the discussion to the smith set.

My original observation about Smith/Condorcet winds up meaning that
Smith/Condorcet penalizes supermajority a bit more than the current
constitution.  But you're right, I can't call that implausible.

-- 
Raul


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Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-02 Thread Anthony Towns

On Sat, Dec 02, 2000 at 03:17:05AM -0500, Raul Miller wrote:
 On Sat, Dec 02, 2000 at 01:07:26AM +1000, Anthony Towns wrote:
  "Status-quo" means don't resolve *anything*. There are at most two
  ways of doing that: by doing nothing, and not even discussing the
  matter again, and by doing nothing constructive, but continuing to
  flame each other. I personally don't think that's a distinction
  that'll be successfully determined by a vote, though.
 I disagree.
 Status-quo in the context of supermajority means don't do anything that
 requires supermajority.  That can still leave a lot of options.

Well, you're welcome to disagree, but be aware that your definition
doesn't match the way the current system (the N+1 votes) works, and
doesn't match the way most systems work (which only provide "No, don't
resolve this" as a `status-quo' option).

Biassing the results towards options that don't require a supermajority
doesn't seem a particularly useful thing to do to me [0].

Cheers,
aj

[0] I say "biassing" since if you take a vote where you have two options:
* Modify social contract (M) (requires 3:1 supermajority)
* Do nothing (N)
and M has unanimous support over N, and then add a third option:
* Evade constitution (E)
(which would resolve that, say, "No new .debs will be added to
non-free, and wherever possible .debs already there will be removed"),
which is preferred over N by everyone, but preferred over M by just
over a quarter of the voters, it'd win.

This isn't what would happen in the current system (E would be
dismissed when deciding on the form of the resolution), and isn't,
IMO, a reasonable outcome at all.

-- 
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I don't speak for anyone save myself. GPG signed mail preferred.

 ``Thanks to all avid pokers out there''
   -- linux.conf.au, 17-20 January 2001

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Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-01 Thread Raul Miller

On Fri, Dec 01, 2000 at 06:54:32AM -0500, Raul Miller wrote:
However, with the 3:1 supermajority which affects A, you get:
10: 0  B:C
 3 1/3: 0  A:B
 3 1/3: 0  A:C
B wins.

On Fri, Dec 01, 2000 at 10:24:41PM +1000, Anthony Towns wrote:
   This isn't correct: A wins by being preferred to all other options (A 
   B, 3.3 to 0 and A  C, 3.3 to 0). The strengths of the victories don't
   come into play unless you have a cycle.

On Fri, Dec 01, 2000 at 08:00:04AM -0500, Raul Miller wrote:
  I was talking about the smith/condorcet mechanism.

On Fri, Dec 01, 2000 at 11:06:41PM +1000, Anthony Towns wrote:
 Err, no you weren't...
 
 (You only ever ignore preferences when there's a cycle involed, which there
 isn't in the above)

Mechanism.. how do I explain that I'm talking about the
mechanism itself..?

Try this on for size:  If the first preference would lose against the
second preference when opinion is unanimous, it's not reasonable to
use that mechanism in more complicated circumstances.

-- 
Raul


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Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-01 Thread Buddha Buck

  On Fri, Dec 01, 2000 at 06:54:32AM -0500, Raul Miller wrote:
   However, with the 3:1 supermajority which affects A, you get:
   10: 0  B:C
3 1/3: 0  A:B
3 1/3: 0  A:C
   B wins.
 
 On Fri, Dec 01, 2000 at 10:24:41PM +1000, Anthony Towns wrote:
  This isn't correct: A wins by being preferred to all other options (A 
  B, 3.3 to 0 and A  C, 3.3 to 0). The strengths of the victories don't
  come into play unless you have a cycle.
 
 I was talking about the smith/condorcet mechanism.

You may have been talking about it, but you didn't apply it properly.  
The SC method I described said "drop the weakest defeat from the Smith 
set until there is an undefeated option".

The Smith Set is defined as the smallest set of options that are not 
defeated by any option outside the Smith Set.

In your example, even after Supermajority scaling, you have A defeating 
B and C, so the Smith Set contains the sole option A.  

Option A is undefeated in the Smith set (trivially) so the SC method would declare 
A the victor, not B.

In fact, A would be the victor in any of the methods I mentioned, 
simply because it is an undefeated option.  Even after supermajority 
scaling. 


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Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-01 Thread Raul Miller

  I was talking about the smith/condorcet mechanism.

On Fri, Dec 01, 2000 at 08:51:28AM -0500, Buddha Buck wrote:
 You may have been talking about it, but you didn't apply it properly.  
 The SC method I described said "drop the weakest defeat from the Smith 
 set until there is an undefeated option".

I know.  See my reply to Anthony on this same topic.

-- 
Raul


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Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-01 Thread Raul Miller
This is a drastically chopped down version of my response to the
Buddha/Eudora message trilogy.  I want to focus on one issue.

On Wed, Nov 29, 2000 at 06:17:13PM -0500, Buddha Buck wrote:
 Option:  Smith/Condorcet
 
 Of the n options in the Smith set, order the n*(n-1) pairwise results by 
 number of votes for the winning choice, strongest to weakest. (e.g., if A 
 beat B by 100:50, and B beat C by 76:74, order them as AB first, BC second, 
 because 100 is bigger than 76).

 Drop the weakest defeat iteratively until one option is unbeaten.  That 
 unbeaten option is the winner.

 Advantages: Variants have been studied for 200+ years.
 Disadvantages

[I picked this mechanism because it's the first one for which you claimed
no disavantages.  I believe that your disadvantages for these various
methods are incorrect in a large number of cases, but I don't feel like
tackling that issue point by point.]

I'm trying to figure out how to implement the concept of supermajority
in this voting system.  I don't think it can be done in a reasonable
fashion, because in this system (and many of the others), you're voting
against yourself.

Here's an example set of votes (for a ballot which offers ABCDE
as options):

ACBDE
AD
AEBD
BACED
BEC
C
CABED
CADB
CDA
E

Here's the condorcet strengths:

  7:2 C:D 
  7:2 A:E 
  6:1 A:D 
  6:2 A:B 
  6:3 C:E 
  5:2 B:E 
  5:3 C:B 
  5:3 B:D 
  5:4 E:D 
  5:4 C:A 

C wins (it's unbeaten).

Now, if we introduce a 3:1 supermajority which only affects C, C loses:

  7: 2  A:E 
  6: 1  A:D 
  6: 2  A:B 
  5: 2  B:E 
  5: 3  B:D 
  5: 4  E:D 
  4: 1 2/3  A:C
  3: 1 2/3  B:C
  2 1/3: 2  C:D 
  2: 3  C:E 

And, that makes sense, because I constructed that set of votes with
a linear random number generator.

But, let's try a simpler multi-option ballot, with everyone in favor.
Ballot: ABC, 3:1 supermajority required for A, 10 votes, all cast as:
ABC.

If there was no supermajority, the ballots would look like:

10:0 A:B
10:0 B:C
10:0 A:C

And you can figure out by inspection that A wins.

However, with the 3:1 supermajority which affects A, you get:

10: 0  B:C
 3 1/3: 0  A:B
 3 1/3: 0  A:C

B wins.

There is a similar flaw even without supermajority (by indicating a
second or even third preference, I can tip the balance in favor of another
option, causing it to win), but that's a bit more subtle to talk about.

What's interesting is that most of the voting mechanisms you posted
about share this characteristic about supermajority votes.  [Of course,
the characteristic goes away if you offer a simple 2 choice ballot,
because in that circumstance they're all equivalent.]

-- 
Raul

P.S. pseudocode *is* poorly written english.



Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-01 Thread Branden Robinson
On Fri, Dec 01, 2000 at 06:54:32AM -0500, Raul Miller wrote:
 But, let's try a simpler multi-option ballot, with everyone in favor.
 Ballot: ABC, 3:1 supermajority required for A, 10 votes, all cast as:
 ABC.
 
 If there was no supermajority, the ballots would look like:
 
 10:0 A:B
 10:0 B:C
 10:0 A:C
 
 And you can figure out by inspection that A wins.
 
 However, with the 3:1 supermajority which affects A, you get:
 
 10: 0  B:C
  3 1/3: 0  A:B
  3 1/3: 0  A:C
 
 B wins.
 
 There is a similar flaw even without supermajority (by indicating a
 second or even third preference, I can tip the balance in favor of another
 option, causing it to win), but that's a bit more subtle to talk about.
 
 What's interesting is that most of the voting mechanisms you posted
 about share this characteristic about supermajority votes.  [Of course,
 the characteristic goes away if you offer a simple 2 choice ballot,
 because in that circumstance they're all equivalent.]

Which sheds a great deal of light on the motivations behind his amendment
to John Goerzen's proposal.

-- 
G. Branden Robinson |  joeyh oh my, it's a UP P III.
Debian GNU/Linux|  doogie dos it.
[EMAIL PROTECTED]  |  * joeyh runs dselect
http://www.debian.org/~branden/ |  Overfiend that ought to be sufficient :)


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Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-01 Thread Anthony Towns
On Fri, Dec 01, 2000 at 07:04:02AM -0500, Branden Robinson wrote:
 Which sheds a great deal of light on the motivations behind his amendment
 to John Goerzen's proposal.

Which was to be handled by having two votes, which would've required,
initially, a simple majority in favour of John's proposal, then a 3:1 vote
(assuming a supermajority was required for it to pass) in favour for it
to succeed.

Are you making these random snide comments about scare-quoted amendments
because you actually believe them, or just to get a reaction, btw?

Cheers,
aj

-- 
Anthony Towns [EMAIL PROTECTED] http://azure.humbug.org.au/~aj/
I don't speak for anyone save myself. GPG signed mail preferred.

 ``Thanks to all avid pokers out there''
   -- linux.conf.au, 17-20 January 2001


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Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-01 Thread Anthony Towns
On Fri, Dec 01, 2000 at 06:54:32AM -0500, Raul Miller wrote:
 However, with the 3:1 supermajority which affects A, you get:
 10: 0  B:C
  3 1/3: 0  A:B
  3 1/3: 0  A:C
 B wins.

This isn't correct: A wins by being preferred to all other options (A 
B, 3.3 to 0 and A  C, 3.3 to 0). The strengths of the victories don't
come into play unless you have a cycle.

Cheers,
aj

-- 
Anthony Towns [EMAIL PROTECTED] http://azure.humbug.org.au/~aj/
I don't speak for anyone save myself. GPG signed mail preferred.

 ``Thanks to all avid pokers out there''
   -- linux.conf.au, 17-20 January 2001


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Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-01 Thread Raul Miller
 On Fri, Dec 01, 2000 at 06:54:32AM -0500, Raul Miller wrote:
  However, with the 3:1 supermajority which affects A, you get:
  10: 0  B:C
   3 1/3: 0  A:B
   3 1/3: 0  A:C
  B wins.

On Fri, Dec 01, 2000 at 10:24:41PM +1000, Anthony Towns wrote:
 This isn't correct: A wins by being preferred to all other options (A 
 B, 3.3 to 0 and A  C, 3.3 to 0). The strengths of the victories don't
 come into play unless you have a cycle.

I was talking about the smith/condorcet mechanism.

-- 
Raul



Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-01 Thread Anthony Towns
On Fri, Dec 01, 2000 at 08:00:04AM -0500, Raul Miller wrote:
  On Fri, Dec 01, 2000 at 06:54:32AM -0500, Raul Miller wrote:
   However, with the 3:1 supermajority which affects A, you get:
   10: 0  B:C
3 1/3: 0  A:B
3 1/3: 0  A:C
   B wins.
 On Fri, Dec 01, 2000 at 10:24:41PM +1000, Anthony Towns wrote:
  This isn't correct: A wins by being preferred to all other options (A 
  B, 3.3 to 0 and A  C, 3.3 to 0). The strengths of the victories don't
  come into play unless you have a cycle.
 I was talking about the smith/condorcet mechanism.

Err, no you weren't...

(You only ever ignore preferences when there's a cycle involed, which there
isn't in the above)

Cheers,
aj

-- 
Anthony Towns [EMAIL PROTECTED] http://azure.humbug.org.au/~aj/
I don't speak for anyone save myself. GPG signed mail preferred.

 ``Thanks to all avid pokers out there''
   -- linux.conf.au, 17-20 January 2001



Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-01 Thread Raul Miller
On Fri, Dec 01, 2000 at 06:54:32AM -0500, Raul Miller wrote:
However, with the 3:1 supermajority which affects A, you get:
10: 0  B:C
 3 1/3: 0  A:B
 3 1/3: 0  A:C
B wins.

On Fri, Dec 01, 2000 at 10:24:41PM +1000, Anthony Towns wrote:
   This isn't correct: A wins by being preferred to all other options (A 
   B, 3.3 to 0 and A  C, 3.3 to 0). The strengths of the victories don't
   come into play unless you have a cycle.

On Fri, Dec 01, 2000 at 08:00:04AM -0500, Raul Miller wrote:
  I was talking about the smith/condorcet mechanism.

On Fri, Dec 01, 2000 at 11:06:41PM +1000, Anthony Towns wrote:
 Err, no you weren't...
 
 (You only ever ignore preferences when there's a cycle involed, which there
 isn't in the above)

Mechanism.. how do I explain that I'm talking about the
mechanism itself..?

Try this on for size:  If the first preference would lose against the
second preference when opinion is unanimous, it's not reasonable to
use that mechanism in more complicated circumstances.

-- 
Raul



Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-01 Thread Anthony Towns
On Fri, Dec 01, 2000 at 08:44:26AM -0500, Raul Miller wrote:
 On Fri, Dec 01, 2000 at 06:54:32AM -0500, Raul Miller wrote:
 However, with the 3:1 supermajority which affects A, you get:
 10: 0  B:C
  3 1/3: 0  A:B
  3 1/3: 0  A:C
 B wins.
 Mechanism.. how do I explain that I'm talking about the
 mechanism itself..?

I'm not sure what you're talking about because in the above, A wins.
(It's the Condorcet winner, so all Condorcet methods select it)

Whatever method you're applying, you've either got a bad description of
it, or you're doing something wrong.

(Any method that declares B the winner is obviously broken beyond repair;
but Condorcet methods don't do that)

Cheers,
aj

-- 
Anthony Towns [EMAIL PROTECTED] http://azure.humbug.org.au/~aj/
I don't speak for anyone save myself. GPG signed mail preferred.

 ``Thanks to all avid pokers out there''
   -- linux.conf.au, 17-20 January 2001



Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-01 Thread Raul Miller
On Fri, Dec 01, 2000 at 06:54:32AM -0500, Raul Miller wrote:
  However, with the 3:1 supermajority which affects A, you get:
  10: 0  B:C
   3 1/3: 0  A:B
   3 1/3: 0  A:C
  B wins.

On Fri, Dec 01, 2000 at 08:44:26AM -0500, Raul Miller wrote:
  Mechanism.. how do I explain that I'm talking about the
  mechanism itself..?

On Sat, Dec 02, 2000 at 12:13:57AM +1000, Anthony Towns wrote:
 I'm not sure what you're talking about because in the above, A wins.
 (It's the Condorcet winner, so all Condorcet methods select it)

What I'm saying is that you can't meaningfully mix this Condorcet
mechanism with the concept of supermajority.

I'm also implying that there's probably a reason that the voting
mechanism in the constitution isn't labeled Condorcet.

 Whatever method you're applying, you've either got a bad description of
 it, or you're doing something wrong.

Ok, try it this way: applying the concept of supermajority to
a Condorcet tallying mechanism is wrong.

 (Any method that declares B the winner is obviously broken beyond repair;
 but Condorcet methods don't do that)

Agreed: Condorcet + supermajority is broken.  The simplifying assumptions
used by Condorcet are broken by the concept of supermajority.

Thanks,

-- 
Raul



Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-01 Thread Buddha Buck
I'm about to leave town for the weekend, so I don't have time to answer 
too many of these in detail.  For now, I'll respond to one comment by 
Raul:

 I'm uncomfortable saying if I've agreed to this.  The Smith/Condorcet
 criteria that Buddha posted is not something I've agreed to.  So,
 discussion could happen here, to make sure we were using the same
 terminology.

Yes, let's be clear on terminology.  The Smith/Condorcet METHOD I 
posted is not a criterion, but a method of choosing a victor (in 
non-supermajority situations).  It happens to be a method that meets 
both the Condorcet Criterion and the Smith Criterion:

Condorcet Criterion: If there is an undefeated option (in pairwise 
contests), that option should be the winner.

Smith Criterion:  The winner should come from the Smith set.  The Smith 
Criterion implies the Condorcet Criterion, because if there is an 
undefeated option, the Smith set consists solely of that option.

Do you have a problem with these criteria in NON-Supermajority 
elections?

The Smith/Condorcet method (as well as Sequential Dropping, Schwartz 
Sequential Dropping, Tideman) all meet both of the above criteria.  
Plurality and IRV limited to the Smith set also meet both criteria.  

In a Supermajority situation, the big question becomes: What does a 
supermajority mean in a multi-option election?  In a single-option 
election, it's easy:  More yeas than nays by a supermajority.  I can even 
see that 
extended to an Approval voting system:  an option -can- win by a N:M 
supermajority if the ratio of Approved votes to Not approved votes 
is at least N:M.  This leads to another possible criterion:

Supermajority Criterion:  If any option requires a N:M supermajority, 
then if more than M/N of the ballots disapprove of the option, then it 
should not win.

Does that sound reasonable?  Please keep in mind that I haven't defined 
what approved and disapproved means on a preferential ballot.

One suggestion I've heard recently says that to vote sincerely in an 
Approval election one should vote approved on any option one prefers 
to the incumbent (which would be the status quo) and not approved on 
any option one prefers the incumbent to.  This is obviously debatable, 
and I don't know if I accept it myself.  It can, however, be turned on its 
head and used to get an Approval election out of a preferential 
election.  It is unclear of the status quo option should be No or 
Further Discussion.  This is also debatable.

How about this Supermajority Election proceedure:

1) Find a winner using some method that meets both the Smith and 
Condorcet Criteria (exact method still under debate).

2) If the winner has a supermajority requirement, compare the winner 
with the status quo option.  If it defeats the status quo by the 
supermajority requirement, then it wins, otherwise default wins.

Now I really must be going...

Later,
  Buddha
 


-- 
 Buddha Buck [EMAIL PROTECTED]
Just as the strength of the Internet is chaos, so the strength of our
liberty depends upon the chaos and cacophony of the unfettered speech
the First Amendment protects.  -- A.L.A. v. U.S. Dept. of Justice




Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-01 Thread Anthony Towns
On Fri, Dec 01, 2000 at 09:31:13AM -0500, Raul Miller wrote:
 On Fri, Dec 01, 2000 at 06:54:32AM -0500, Raul Miller wrote:
   However, with the 3:1 supermajority which affects A, you get:
   10: 0  B:C
3 1/3: 0  A:B
3 1/3: 0  A:C
   B wins.

This summary is completely wrong for any Condorcet scheme.

A dominates B (by a reduced margin of 3.3 to 0 rather than 10 to 0)
A dominates C (also by a reduced margin)
B dominates C (by its original margin)

A thus wins by dominating all others.

Whatever you're using to declare B the winner above, it's not a Condorcet
method.

The rest of your message, and the conclusion that Condorced+Supermajority
isn't possible is thus invalid.

Cheers,
aj

-- 
Anthony Towns [EMAIL PROTECTED] http://azure.humbug.org.au/~aj/
I don't speak for anyone save myself. GPG signed mail preferred.

 ``Thanks to all avid pokers out there''
   -- linux.conf.au, 17-20 January 2001



Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-01 Thread Raul Miller
On Fri, Dec 01, 2000 at 08:38:13AM -0500, Buddha Buck wrote:
 Condorcet Criterion: If there is an undefeated option (in pairwise 
 contests), that option should be the winner.
 
 Smith Criterion:  The winner should come from the Smith set.  The Smith 
 Criterion implies the Condorcet Criterion, because if there is an 
 undefeated option, the Smith set consists solely of that option.
 
 Do you have a problem with these criteria in NON-Supermajority 
 elections?

I agree with the Smith Criterion.  I'm not sure I understand
enough about what's meant by pairwise contests to agree with
the Condorcet criterion.

 In a Supermajority situation, the big question becomes: What does a
 supermajority mean in a multi-option election? In a single-option
 election, it's easy: More yeas than nays by a supermajority. I
 can even see that extended to an Approval voting system: an option
 -can- win by a N:M supermajority if the ratio of Approved votes to
 Not approved votes is at least N:M. This leads to another possible
 criterion:

 Supermajority Criterion: If any option requires a N:M supermajority,
 then if more than M/N of the ballots disapprove of the option, then it
 should not win.

 Does that sound reasonable? Please keep in mind that I haven't defined
 what approved and disapproved means on a preferential ballot.

Exactly.  Those definition would have to be nailed down before it would
be reasonable to agree or disagree on this.

 How about this Supermajority Election proceedure:

 1) Find a winner using some method that meets both the Smith and
 Condorcet Criteria (exact method still under debate).

Heh.. this procedure is already debatable.

 2) If the winner has a supermajority requirement, compare the winner
 with the status quo option. If it defeats the status quo by the
 supermajority requirement, then it wins, otherwise default wins.

I dislike this, immensely.

What if you have more than one flavor of status quo you're voting
for?

Later,

-- 
Raul



Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-01 Thread Raul Miller
  I was talking about the smith/condorcet mechanism.

On Fri, Dec 01, 2000 at 08:51:28AM -0500, Buddha Buck wrote:
 You may have been talking about it, but you didn't apply it properly.  
 The SC method I described said drop the weakest defeat from the Smith 
 set until there is an undefeated option.

I know.  See my reply to Anthony on this same topic.

-- 
Raul



Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-01 Thread Anthony Towns
On Fri, Dec 01, 2000 at 09:46:00AM -0500, Raul Miller wrote:
 I agree with the Smith Criterion.  I'm not sure I understand
 enough about what's meant by pairwise contests to agree with
 the Condorcet criterion.

The Smith criterion implies the Condorcet criterion, btw.

Pairwise contests just means take all the votes you've got, and ignore
all options but the two you're considering. If one's ranked higher than
the other, consider it a vote for the one, if its the other way around
a vote for the other, if neither are ranked, ignore it.

You then get a table that tells you:
N people preferred A to B, while M preferred B to A (and O didn't
seem to care at all)
for each option A to B.

The Condorcet criteria says that if there's a single option, which wins
every pairwise contest (so 100 people prefer it over X, while only 50
prefered X to it, and 78 prefered it over Y, but only 70 prefered Y to
it, and so on for *every* option), then it should win.

  2) If the winner has a supermajority requirement, compare the winner
  with the status quo option. If it defeats the status quo by the
  supermajority requirement, then it wins, otherwise default wins.
 I dislike this, immensely.
 What if you have more than one flavor of status quo you're voting
 for?

Status-quo means don't resolve *anything*. There are at most two ways of
doing that: by doing nothing, and not even discussing the matter again,
and by doing nothing constructive, but continuing to flame each other. I
personally don't think that's a distinction that'll be successfully
determined by a vote, though.

IMHO, anyway.

Cheers,
aj

-- 
Anthony Towns [EMAIL PROTECTED] http://azure.humbug.org.au/~aj/
I don't speak for anyone save myself. GPG signed mail preferred.

 ``Thanks to all avid pokers out there''
   -- linux.conf.au, 17-20 January 2001


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Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-01 Thread Raul Miller
 On Fri, Dec 01, 2000 at 09:31:13AM -0500, Raul Miller wrote:
  On Fri, Dec 01, 2000 at 06:54:32AM -0500, Raul Miller wrote:
However, with the 3:1 supermajority which affects A, you get:
10: 0  B:C
 3 1/3: 0  A:B
 3 1/3: 0  A:C
B wins.

On Sat, Dec 02, 2000 at 12:45:53AM +1000, Anthony Towns wrote:
 This summary is completely wrong for any Condorcet scheme.
 
 A dominates B (by a reduced margin of 3.3 to 0 rather than 10 to 0)
 A dominates C (also by a reduced margin)
 B dominates C (by its original margin)
 
 A thus wins by dominating all others.
 
 Whatever you're using to declare B the winner above, it's not a Condorcet
 method.

My hypothesis is: if everyone votes for all options, any smith set
which combines an option with a supermajority and an option which does
not, will result in a lose for the supermajority if you're using the
condorcet method.

 The rest of your message, and the conclusion that
 Condorced+Supermajority isn't possible is thus invalid.

It's a simple observation about the numbers involved.

However, I've been wrong before -- can you construct a counterexample
to my hypothesis?

Alternatively, can you show me how my hypothesis is irrelevant?

Thanks,

-- 
Raul



RE: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-01 Thread Norman Petry
Buddha Buck wrote:

 The Smith Set is defined as the smallest set of options that are not
 defeated by any option outside the Smith Set.

This definition of the Smith set is incorrect.  Suppose we have:

AB, BC, A=C, AD, BD, CD. ('' means 'dominates', or beats pairwise)

Then by your definition, the Smith set would consist of only {A}, whereas in
fact the Smith set contains three members: {A,B,C}.  In other words, any
candidate which is tied with a member of the Smith set is also a member of
that set.  The corrected definition would be something like:

The Smith Set is defined as the smallest set of options that defeat
('dominate') all options outside the set.

I mention this, because a number of messages posted recently to debian-vote
contain this subtle error, and if an incorrect definition was used in a
constitutional amendment, it could affect the interpretation of results in
certain elections.  Your incorrect definition has a name, too -- it's called
the 'Schwartz Set'.  In large-scale public elections, where pairties are
very rare, the Smith and Schwartz sets are the same.  However, for committee
voting, or decisions made by other small groups (like Debian), pairties can
easily occur during vote counting.  In the above example, if the winners are
restricted to being members of the Schwartz set, then there is a single
winner; if the Smith set is used, then a tiebreaker procedure (STV?) would
need to be invoked to determine the winner, which might not be A.

Note that I am *NOT* saying the Schwartz set is preferable to Smith, or that
either one should necessarily be used as part of any voting procedure Debian
might adopt (I'd recommend against it, in fact -- it is better to just use a
method which satisfies the Smith criterion, than use Smith as a method).
I'm merely pointing out how easy it is to make mistakes like this, so it is
important to word any proposed constitutional amendments *very* carefully.

--
Norm Petry



Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-01 Thread Raul Miller
On Fri, Dec 01, 2000 at 09:53:29AM -0600, Norman Petry wrote:
 AB, BC, A=C, AD, BD, CD. ('' means 'dominates', or beats pairwise)

Thanks, here's an example:

1000 ABCD
 100 CABD

10:1 supermajority.

Using the Smith/Condorcet method:

1000:100 B:C
110:0 A:B
100:100 C:A

A wins, my hypothesis was wrong.

I'll need to think about this a bit more.

-- 
Raul



Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-12-01 Thread Raul Miller
On Fri, Dec 01, 2000 at 01:32:00PM +1000, Anthony Towns wrote:
 Here's some possible fairness criteria:
 
   * If there are multiple ways of conducting a vote, the outcome
 should not depend on which way is chosen (only on the
 preferences of the developers).

Agreed.

Comment: the current constitution is ambiguous on this issue, for the
case of supermajority.  My original reading of the constitution was that
A.6(7) applied to any ballot which combined an option with supermajority
and an option without supermajority.  The example embedded in A.6(7),
however, indicates an A.6(2) vote and not an A.6(3) or A.6(1) vote.

   * Ideally, there shouldn't be any more effective way of getting
 what you want than simply ranking your preferences in order.
 (Although this is, aiui, provably impossible to achieve)

Of course, this is a contradiction -- much discussion could happen here.

 I suspect we've also agreed that the Condorcet winner (if there is
 one) should always win. And we seem to have agreed that the winner
 should be from the Smith set, although that's apparently considered
 debatable amongst the pairwise voting cognescenti.

I'm uncomfortable saying if I've agreed to this.  The Smith/Condorcet
criteria that Buddha posted is not something I've agreed to.  So,
discussion could happen here, to make sure we were using the same
terminology.

 There are two reasonable ways of treating supermajorities, that I can
 think of:
 
   a) A supermajority of developers believe this option is acceptable.
   b) A supermajority of developers support this option above all
  others.
 
 I believe (a) is the better case, and I think it's essentially what the
 N+1 scheme described in the constitution achieves. From some of your
 mails, I'm lead to believe you might prefer (b).

Er.. you've lost me here.

(*scratches head*)

Ok, I think you're basing this off of my earlier response to a specific
example where I thought, at the time, you were talking about a vote
which mixed a supermajority option with a non-supermajority option.

 (b) isn't quite what your system does, though (aiui). If you consider
 the Manoj and Branden's proposed vote, we might end up with people holding
 preferences like:
 
   120 people prefer M, B, S, F  (Manoj, Branden, Status-Quo, F.Disc)
   100 people prefer B, M, S, F
 
 This means that the ratio between M and B would be only 6:5, rather than
 3:1, so presumably neither should win (that's what (b) would imply to me)?

If we're talking about *my* interpretation of what the constitution
is saying, and what it's trying to say, and *my* understanding of that
particular vote.  And, if we agree that a 3:1 supermajority applies to
changing the social contract:

The way I see it, when determining which votes Dominate which others,
votes which prefer an option with a supermajority are reduced to an
appropriate fraction (in this case 1/3).  But, 40 Dominates 33 1/3,
so M wins.  [Also, 73 1/3 -- the total number of votes for M, exceeds
quorum of 37, so there's not a problem with not enough people voting.]

[since the rest of your message just seems to build on this point,
I've just left it off.]

Thanks,

-- 
Raul



Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-11-30 Thread Raul Miller

[second pass, talking about the situation as a whole, rather than
focussing on voting mechanics.]

On Thu, Nov 30, 2000 at 02:00:57PM +1000, Anthony Towns wrote:
 It's unambiguous, but it has undesirable properties (ie, as well as voting
 in a particular way, supporters of one side or the other have a stake in
 how the issue is voted on also, since one way makes one group more likely
 to win, and another way makes another group more likely to win).
 
 To be specific: supposing no one actually minds getting rid of non-free,
 everyone wants to see it moved off the mirrors, in general, but there is a
 reasonable minority of people who would rather see it kept on some out of
 the way machine, just for old times sake.
 
 In the N+1 vote system, the votes go like:
   60 Remove, Move, Further Discussion
   40 Move, Remove, Further Discussion
 Remove wins, and the final vote is:
   100 Yes, Further Discussion, No
 and Remove wins.

Given your assumptions, correct.

 If, however, some of the 40 people connive together privately, and
 convince the secretary to decide the issue in a single vote, using
 your interpretation of the supermajority clause, they vote instead goes
 something like:
   60 Remove, Move, Further Discussion, Do Nothing
   40 Move, Remove, Further Discussion, Do Nothing
 and the results are scaled to:
   Remove dominates Further Discussion  Do Nothing, 33.3 to 0
   Move dominates Further Discussion  Do Nothing, 100 to 0
   Move dominates Remove, 40 to 20
 and, the 40 people who prefered Move rejoice having won the vote.

Oh, shudder, a less drastic result occurs because of these "conniving"
people.

Of course the same thing might happen if these 40 people "connive"
together to set up an out of the way server to preserve non-free.

 Surely you agree that a minority of people being able to subvert the
 resolution procedure to get what they want instead of what the majority
 want is a bad thing?

Only if "majority" and "supermajority" are equivalent -- which they're
not.

In this case, your starting assumption is that no one really cares which
option is choosen, as long as one is.  It's not "subverting the system"
to get results which correspond with this starting assumption. 

-- 
Raul


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Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-11-30 Thread Buddha Buck

At 02:23 PM 11-30-2000 -0500, Raul Miller wrote:
[third pass]

On Thu, Nov 30, 2000 at 02:00:57PM +1000, Anthony Towns wrote:
  Surely you agree that a minority of people being able to subvert the
  resolution procedure to get what they want instead of what the majority
  want is a bad thing?

I think I agree with your underlying point -- that this kind of
discrepancy in the voting system indicates a flaw.

This sounds like what the www.electionmethods.com site calls the "Strong 
Defensive Strategy Criterion":  "If a majority of the voters prefer 
candidate A to candidate B, then they should have a way of voting that will 
ensure that B cannot win, without any member of that majority reversing a 
sincere preference for one candidate over another or insincerely voting two 
candidates equal."


I disagree with your emotional loading (e.g. the use of words like
"subvert"), but you still have a valid point.

Is the wording of the SDSC better?



Thanks,

--
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Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-11-30 Thread Raul Miller

At 02:23 PM 11-30-2000 -0500, Raul Miller wrote:
 [third pass]
 
 On Thu, Nov 30, 2000 at 02:00:57PM +1000, Anthony Towns wrote:
   Surely you agree that a minority of people being able to subvert the
   resolution procedure to get what they want instead of what the majority
   want is a bad thing?
 
 I think I agree with your underlying point -- that this kind of
 discrepancy in the voting system indicates a flaw.

On Thu, Nov 30, 2000 at 02:29:47PM -0500, Buddha Buck wrote:
 This sounds like what the www.electionmethods.com site calls the "Strong 
 Defensive Strategy Criterion":  "If a majority of the voters prefer 
 candidate A to candidate B, then they should have a way of voting that will 
 ensure that B cannot win, without any member of that majority reversing a 
 sincere preference for one candidate over another or insincerely voting two 
 candidates equal."
 
 I disagree with your emotional loading (e.g. the use of words like
 "subvert"), but you still have a valid point.
 
 Is the wording of the SDSC better?

No.

It's perfectly reasonable to vote for neither (I suppose you could call
this "Candidate C"), and it's perfectly reasonable to vote for a revote
on a different ballot after futher discussion (I suppose you could call
this "Candidate D").  However, Anthony's starting assumption was that
neither of these circumstances were desirable to any of the voters, and
that no one is voting insincerely.  Anyways, insincere voting would be
likely to cause one of these undesirable options to win.

No, the problem Anthony is that the constitution doesn't express
how to have consistent results (between A.3(1)+A.3(2) votes and
A.3(3) votes) if an A.3(1) vote chooses between an option with
an associated supermajority and an option which does not.

Logically, there's three possible resolutions:

[1] Discard the concept of supermajority
[2] Discard the concept of A.3(3) votes
[3] Apply the supermajority voting rules on A.3(1) votes.

I favor [3].  Anthony favors [2], but hasn't entirely dismissed [1].

-- 
Raul


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Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-11-30 Thread Anthony Towns
On Wed, Nov 29, 2000 at 11:52:53PM -0500, Raul Miller wrote:
  * A single vote, where the pairwise preferences for A against
Further Discussion (only) are scaled according to A's
supermajority requirements.
 F:A in A.6(7) stands for For:Against.  Not Further Discussion : Option A.

I'm not claiming that the constitution as it stands can or should be
interpreted in this way. I'm suggesting it as a possible way things can
be done in future after the constitution in amended.

I have been, and continue to be, very conservative in how I'm willing
to interpret the constitution. I'd've thought you'd have noticed this
by now...

  * A single vote, where the pairwise preferences for A against
all other options are scaled according to A's supermajority
requirement. [0]
 This is what A.3(3) specifies [given what's already said in A.3(1),
 A.3(2) and A.6(7)].

No, this is how you interpret A.3(3). That's a very different thing.

Is clear and obvious and not in any sort of dispute that F and A, and
A, B and X are metasyntactic variables. It's not at all obvious that
Yes and No are, no matter how strongly you might assert it.

Cheers,
aj

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Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-11-30 Thread Raul Miller
[second pass, talking about the situation as a whole, rather than
focussing on voting mechanics.]

On Thu, Nov 30, 2000 at 02:00:57PM +1000, Anthony Towns wrote:
 It's unambiguous, but it has undesirable properties (ie, as well as voting
 in a particular way, supporters of one side or the other have a stake in
 how the issue is voted on also, since one way makes one group more likely
 to win, and another way makes another group more likely to win).
 
 To be specific: supposing no one actually minds getting rid of non-free,
 everyone wants to see it moved off the mirrors, in general, but there is a
 reasonable minority of people who would rather see it kept on some out of
 the way machine, just for old times sake.
 
 In the N+1 vote system, the votes go like:
   60 Remove, Move, Further Discussion
   40 Move, Remove, Further Discussion
 Remove wins, and the final vote is:
   100 Yes, Further Discussion, No
 and Remove wins.

Given your assumptions, correct.

 If, however, some of the 40 people connive together privately, and
 convince the secretary to decide the issue in a single vote, using
 your interpretation of the supermajority clause, they vote instead goes
 something like:
   60 Remove, Move, Further Discussion, Do Nothing
   40 Move, Remove, Further Discussion, Do Nothing
 and the results are scaled to:
   Remove dominates Further Discussion  Do Nothing, 33.3 to 0
   Move dominates Further Discussion  Do Nothing, 100 to 0
   Move dominates Remove, 40 to 20
 and, the 40 people who prefered Move rejoice having won the vote.

Oh, shudder, a less drastic result occurs because of these conniving
people.

Of course the same thing might happen if these 40 people connive
together to set up an out of the way server to preserve non-free.

 Surely you agree that a minority of people being able to subvert the
 resolution procedure to get what they want instead of what the majority
 want is a bad thing?

Only if majority and supermajority are equivalent -- which they're
not.

In this case, your starting assumption is that no one really cares which
option is choosen, as long as one is.  It's not subverting the system
to get results which correspond with this starting assumption. 

-- 
Raul



Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-11-30 Thread Raul Miller
[third pass]

On Thu, Nov 30, 2000 at 02:00:57PM +1000, Anthony Towns wrote:
 Surely you agree that a minority of people being able to subvert the
 resolution procedure to get what they want instead of what the majority
 want is a bad thing?

I think I agree with your underlying point -- that this kind of
discrepancy in the voting system indicates a flaw.

I disagree with your emotional loading (e.g. the use of words like
subvert), but you still have a valid point.

Thanks,

-- 
Raul



Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-11-30 Thread Buddha Buck

At 02:23 PM 11-30-2000 -0500, Raul Miller wrote:

[third pass]

On Thu, Nov 30, 2000 at 02:00:57PM +1000, Anthony Towns wrote:
 Surely you agree that a minority of people being able to subvert the
 resolution procedure to get what they want instead of what the majority
 want is a bad thing?

I think I agree with your underlying point -- that this kind of
discrepancy in the voting system indicates a flaw.


This sounds like what the www.electionmethods.com site calls the Strong 
Defensive Strategy Criterion:  If a majority of the voters prefer 
candidate A to candidate B, then they should have a way of voting that will 
ensure that B cannot win, without any member of that majority reversing a 
sincere preference for one candidate over another or insincerely voting two 
candidates equal.




I disagree with your emotional loading (e.g. the use of words like
subvert), but you still have a valid point.


Is the wording of the SDSC better?




Thanks,

--
Raul


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Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-11-30 Thread Raul Miller
At 02:23 PM 11-30-2000 -0500, Raul Miller wrote:
 [third pass]
 
 On Thu, Nov 30, 2000 at 02:00:57PM +1000, Anthony Towns wrote:
   Surely you agree that a minority of people being able to subvert the
   resolution procedure to get what they want instead of what the majority
   want is a bad thing?
 
 I think I agree with your underlying point -- that this kind of
 discrepancy in the voting system indicates a flaw.

On Thu, Nov 30, 2000 at 02:29:47PM -0500, Buddha Buck wrote:
 This sounds like what the www.electionmethods.com site calls the Strong 
 Defensive Strategy Criterion:  If a majority of the voters prefer 
 candidate A to candidate B, then they should have a way of voting that will 
 ensure that B cannot win, without any member of that majority reversing a 
 sincere preference for one candidate over another or insincerely voting two 
 candidates equal.
 
 I disagree with your emotional loading (e.g. the use of words like
 subvert), but you still have a valid point.
 
 Is the wording of the SDSC better?

No.

It's perfectly reasonable to vote for neither (I suppose you could call
this Candidate C), and it's perfectly reasonable to vote for a revote
on a different ballot after futher discussion (I suppose you could call
this Candidate D).  However, Anthony's starting assumption was that
neither of these circumstances were desirable to any of the voters, and
that no one is voting insincerely.  Anyways, insincere voting would be
likely to cause one of these undesirable options to win.

No, the problem Anthony is that the constitution doesn't express
how to have consistent results (between A.3(1)+A.3(2) votes and
A.3(3) votes) if an A.3(1) vote chooses between an option with
an associated supermajority and an option which does not.

Logically, there's three possible resolutions:

[1] Discard the concept of supermajority
[2] Discard the concept of A.3(3) votes
[3] Apply the supermajority voting rules on A.3(1) votes.

I favor [3].  Anthony favors [2], but hasn't entirely dismissed [1].

-- 
Raul



Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-11-30 Thread Anthony Towns
On Thu, Nov 30, 2000 at 02:23:08PM -0500, Raul Miller wrote:
 On Thu, Nov 30, 2000 at 02:00:57PM +1000, Anthony Towns wrote:
  Surely you agree that a minority of people being able to subvert the
  resolution procedure to get what they want instead of what the majority
  want is a bad thing?
 I think I agree with your underlying point -- that this kind of
 discrepancy in the voting system indicates a flaw.

Oh good, I can delete all my postponed rants then. :)

Here's some possible fairness criteria:

* If there are multiple ways of conducting a vote, the outcome
  should not depend on which way is chosen (only on the
  preferences of the developers).

* Ideally, there shouldn't be any more effective way of getting
  what you want than simply ranking your preferences in order.
  (Although this is, aiui, provably impossible to achieve)

I suspect we've also agreed that the Condorcet winner (if there is one)
should always win. And we seem to have agreed that the winner should
be from the Smith set, although that's apparently considered debatable
amongst the pairwise voting cognescenti.

There are two reasonable ways of treating supermajorities, that I can
think of:

a) A supermajority of developers believe this option is acceptable.
b) A supermajority of developers support this option above all
   others.

I believe (a) is the better case, and I think it's essentially what the
N+1 scheme described in the constitution achieves. From some of your
mails, I'm lead to believe you might prefer (b).

(b) isn't quite what your system does, though (aiui). If you consider
the Manoj and Branden's proposed vote, we might end up with people holding
preferences like:

120 people prefer M, B, S, F  (Manoj, Branden, Status-Quo, F.Disc)
100 people prefer B, M, S, F

This means that the ratio between M and B would be only 6:5, rather than
3:1, so presumably neither should win (that's what (b) would imply to me)?

My reading of your proposal would scale both sides of the
M dominates B, 120 to 100
down by 3, which would end up with
M dominates B,  40 to 33.3
which would leave M winning, which, aiui, it shouldn't.

If you really wanted (b), you could achieve this by scaling the sides
individually, ie:

M doesn't dominate B (40 to 100)
B doesn't dominate M (33.3 to 120)

and then using this to eliminate both options. I'm not sure how you'd
phrase that for the constitution, and I don't think it's a desirable
interpretation of a supermajority anyway.

Cheers,
aj

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Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-11-29 Thread Anthony Towns

On Wed, Nov 29, 2000 at 02:38:23AM -0500, Raul Miller wrote:
 On Wed, Nov 29, 2000 at 12:36:21PM +1000, Anthony Towns wrote:
  That depends what you consider "plausible". I'm willing to believe the
  constitution has bugs, and that in some circumstances it may very well
  come up with nonsensical results for a vote. So I'm not willing to rule
  such an answer implausible.
 It sounds as if you're interested in interpreting the constitution such
 that the results are nonsensical.

Huh? Look, all I'm trying to say is that the straightforward and obvious
reading of the constitution leads to a result that doesn't make any sense.

I should expand on my concern about your interpretation of the
constitution.  If you're claiming that A.6(2) is ambiguous, and doesn't
mean what, IMO, it clearly and obviously means, and if your claim has any
merit, then I don't see how it's possible to have the constitution ever
be unambiguous. If we use traditional mathsy terms and say things must be
`strictly greater' to ensure no one mistakenly assumes `greater than or
equal to', somehow this translates to increased ambiguity rather than
less. I don't see how anyone could hope to write a clear and unambiguous
constitution under those circumstances.

   Single Transferable Vote biases the selection in favor of first
   preferences at the expense of other preferences. Can you think of a
   better kind of criteria for making the selection?
  Other methods can be found at the URLs I cited at the start of the
  thread. "Reversing the fewest and weakest pairwise defeats" (ie, using
  the smallest possible casting vote) is probably another reasonable
  alternative. But, as I said, I don't profess to know enough about
  cycle breakers to really say.
 But: I'm not asking "are there other methods", I'm asking "what's a
 better criteria?" and "why?"

And I'm telling you, I don't know. There are plenty of fairness criteria
out there, there are plenty of justifications for resolving circular
ties in various ways.

There are plenty of fairness criteria on the fortunecity page, many of
which aren't met by STV alone. I've no idea how many of them are met
when you apply STV to the Smith set: certainly more of them than when
you apply it to the entire vote, but I don't know how many.

There's a discussion of this in the February archives of this list.

 I'll note that the URL you cited doesn't have anything equivalent to
 Single Transferrable Vote.  

http://www.fortunecity.com/meltingpot/harrow/124/methods.html#IRV

It's the second method listed.

 It really sounds more as if you want to find faults in the constitution
 than you've thought this through and have a better alternative to propose.

If you'd care to go back to the first few messages in this thread, you'll
find the constructive suggestions. Oddly, you won't find all that many
in my responses to you, since I've had to spend most of those rebutting
your continual assertions that I don't understand what I'm talking about.

Cheers,
aj

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Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-11-29 Thread Raul Miller

On Wed, Nov 29, 2000 at 06:39:16PM +1000, Anthony Towns wrote:
 Huh? Look, all I'm trying to say is that the straightforward and
 obvious reading of the constitution leads to a result that doesn't
 make any sense.

 I should expand on my concern about your interpretation of the
 constitution. If you're claiming that A.6(2) is ambiguous, and doesn't
 mean what, IMO, it clearly and obviously means, and if your claim has
 any merit, then I don't see how it's possible to have the constitution
 ever be unambiguous. If we use traditional mathsy terms and say
 things must be `strictly greater' to ensure no one mistakenly assumes
 `greater than or equal to', somehow this translates to increased
 ambiguity rather than less. I don't see how anyone could hope to write
 a clear and unambiguous constitution under those circumstances.

What's ambiguous is the concept of preference, in a circular tie.

If we accept it as axiomatic that a result which doesn't make sense
is preferable over one which does, then we get your kind of interpretation
-- where the concept of "preference" is purely a matter of pairwise
comparison.  

If we accept it as axiomatic that a result which does make sense is
preferable over one which doesn't, then we get my kind of interpretation
-- where the concept of "preference" must consider not only pairwise
comparison but transitive effects.

If you want it expressed in "mathy" terms, the question is: does "strictly
prefer" refer to a lattice, or some other [less strict] sort of relation?
The constitution doesn't explicitly say.

  But: I'm not asking "are there other methods", I'm asking "what's a
  better criteria?" and "why?"
 
 And I'm telling you, I don't know. There are plenty of fairness criteria
 out there, there are plenty of justifications for resolving circular
 ties in various ways.

Ok, and I'm telling you that I, personally, at least, don't find that a
convincing reason to accept that the single transferrable vote mechanism
of the constitution should be eliminated.

I'm willing to entertain the concept, if someone wants to put forth
some kind of argument about why some other method would be better, 
but until then, what's the point?

 There are plenty of fairness criteria on the fortunecity page, many of
 which aren't met by STV alone. I've no idea how many of them are met
 when you apply STV to the Smith set: certainly more of them than when
 you apply it to the entire vote, but I don't know how many.

And then there's statistical effects -- how many of them are met "most
of the time".  [But, by the way, I don't consider "number of fairness
criteria mentioned on the fortunecity page" as some kind of absolute
metric of vote goodness.]

 There's a discussion of this in the February archives of this list.

I'm kind of busy right now.  Is there anything in particular that I
should look for, if I read those archives?  [Like, maybe, some kind
of concept of "vote goodness" that the constutions could be measured
against?]

  I'll note that the URL you cited doesn't have anything equivalent to
  Single Transferrable Vote.  
 
 http://www.fortunecity.com/meltingpot/harrow/124/methods.html#IRV
 
 It's the second method listed.

Hmm.. at first glance, this isn't the same.  It doesn't make any
kind of explicit reference to first preference.  However, you're
probably right.

  It really sounds more as if you want to find faults in the constitution
  than you've thought this through and have a better alternative to propose.
 
 If you'd care to go back to the first few messages in this thread, you'll
 find the constructive suggestions. Oddly, you won't find all that many
 in my responses to you, since I've had to spend most of those rebutting
 your continual assertions that I don't understand what I'm talking about.

Eh?  I'm not trying to say that you've never said anything positive
-- you have (though, I read the begining of this thread and I didn't
see anything constructive in the specific direction of suggesting
constitutional ammendments).

Thanks,

-- 
Raul


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Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-11-29 Thread Raul Miller

On Wed, Nov 29, 2000 at 02:53:15AM -0500, Raul Miller wrote:
  A.6(3)  A supermajority requirement of n:m for an option A means that
  when votes are considered which indicate option A as a better
  choice than some other option B, the number of votes in favor
  of A are multiplied by m/n.

On Wed, Nov 29, 2000 at 07:26:01PM +1000, Anthony Towns wrote:
 This gives different results to the current system when two options on
 a single ballot would require different supermajorities to pass.
 
 Please reread:
 Message-ID: [EMAIL PROTECTED]
 Date: Fri, 24 Nov 2000 10:07:24 +1000
 
 and:
 Message-ID: [EMAIL PROTECTED]
 Date: Fri, 24 Nov 2000 14:44:40 +1000
 
 for the explanation.

Eh?  All I see is that my proposal is less ambiguous than the current
constitution for this kind of case.

[Those specific messages are where we were talking at cross purposes --
I thought we were talking about alternative final votes, and you had
intended that we talk about an amendment an a final vote.  This kind of
misunderstanding on my part isn't something that you fix by setting the
structure of the constitution.]

 A much fairer supermajority requirement would simply be:
 
 A.6(3) A supermajority of N:M for an option A is met when the number of
votes ranking A higher than the default option, divided by N is 
greater than than the number of votes ranking the default option
higher than A.

So, a 3:1 supermajority is required to pass a constitutional amendment,
101 ballots YES:NO
100 ballots NO:YES

[No one wants to talk about it any more, and the results are almost
even.]

Under your rule, the constitution would be amended, even though almost
as many people voted NO as YES.

What do you imagine the purpose of the supermajority is?  To encorage
further discussion?

Now, if you're trying to say that my version has some ambiguity about
it, well.. that might be true.  But I'm not quite seeing it, yet.

 However it's not clear what should happen when the clear winner of
 a set of options doesn't meet its supermajority requirement, yet
 a loser (with a different supermajority requirement) does. It's
 similarly unclear what should happen if the winner doesn't meet its
 supermajority requirments, but some other member of the Smith set
 does.

My version makes that clear.  And, I'll assert: it's reasonable
to interpret the current constitution in that fashion.  

Your above reference documents don't really deal with that assertion,
all they talk about is what happens if something like a constitutional
amendment ballot is treated by a sequence of at least on amendment ballots
followed by a final ballot.  My version of A.6 still allows for this
(obviously, since that's an A.3 issue, not an A.6 issue).

 I would suggest something to the effect of:
 
   * Reduce to the Smith Set
   * Eliminate options that don't meet the supermajority requirement
   * If none left - default option wins
   * If one left - it wins
   * If many left, use some tie-breaker, eg STV, Tideman, Schulze

This directly contradicts the last sentence of A.6(7).  Do you have some
reason for this contradiction?

Thanks,

-- 
Raul


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Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-11-29 Thread Raul Miller

On Wed, Nov 29, 2000 at 07:28:44AM -0500, Buddha Buck wrote:
 Whether one criteria is better than another is of course a matter of 
 opinion.  

Agreed.  Still, consensus is possible.

 Above, you prefer Single Transferable Vote (which also appears to be
 called "Instant Runoff Voting" or "IRV" on most of the voting method
 websites) because it "biases selection in favor of first preferences
 at the expense of other preferences". Obviously, you think this is a
 good thing.

Sure -- but logically, if I'm a voter, and I indicate a second and third
preference on a ballot, that shouldn't weaken the strength of my first
preference.

 Others may prefer other methods because they reverse the preferences of 
 the fewest number of voters.  This is a different criteria.  Is it 
 better?  I think so, and so do others.  You may not.  Most of the 
 "traditional" Condorcet resolution methods favor this criteria.

Sure -- mediocracy tends to be easy to agree on.

 I think the best we can do is list a bunch of alternatives, with
 explanations and descriptions of their advantages and disadvantages,
 and discuss from there.

I'm willing (see above :).

  I'll note that the URL you cited doesn't have anything equivalent to
  Single Transferrable Vote.  [So it's not comprehensive.]  I don't think
  "my favorite web site doesn't mention this system" somehow makes the
  systems it proposes to be somehow superior.
 
 The URL I'm looking at does not discuss IRV under Condorcet resolution 
 methods, but it does discuss IRV as a technique for general elections 
 (i.e., an alternative to Condorcet).  I'm looking at http://
 www.electionmethods.org/, which does have some faults (it has an 
 -extreme- bias towards Condorcet and against plurality and IRV, for 
 instance).

Turns out I'd missed the cite.

  The nice thing about Single Transferrable Vote is that it
  automatically makes first preference votes more important than
  second preference votes (and so on). There are few systems at the
  URL you cited which even attempt this.

 Most of the Condorcet resolution methods I've seen don't attempt that
 because they don't see it as a valid criteria. They see overruling the
 fewest number of votes to be a valid criteria.

Right, but that's method, and not a reason why.

 Actually, I did find one description of a voting concern that does
 severely impact IRV. IRV requires the multiple examination of every
 ballot, which can be prohibitive if the number of ballots is huge,
 or fragile, etc. Since most voting reform sites are concerned with
 reform of real-world elections, where there may be millions of voters,
 this is a bigger concern for them than it is for us. And this is a
 valid criteria for them to consider. The Condorcet resolution methods
 normally discussed can all be computed solely from the aggregate
 voting data, not needing to further examine individual ballots.

In other words: it requires computerization of the voting process.
And: rankings actually indicate preference, as they represent more than
the ability to cast multiple votes.

   This sort of situation happens no matter how you resolve a cyclic
   tie, though. You pretty much have to be "unfair" in some sense to
   choose a winner. As I said, I'm inclined to suspect that there
   other means are likely to be more optimal, although I'm not clear
   exactly how.
 
  It really sounds more as if you want to find faults in the
  constitution than you've thought this through and have a better
  alternative to propose.

 No voting system is going to be 100% "fair" to all voters. The
 question remains, however: How do we determine "fairness" to evaluate
 different methods?

That's one question.  Another question is: what problem are we trying
to solve?

-- 
Raul


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Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-11-29 Thread Buddha Buck

At 10:07 AM 11-29-2000 -0500, Raul Miller wrote:

 That's one question.  Another question is: what problem are we trying
to solve?

Last things first...  This is a -very- important question that I don't know 
the full answer to.

The main problem:  The current "Standard Resolution Procedure" as written 
in Appendix A of the Debian Constitution is confusing and ambiguous.

There are (at least) two ways of addressing this issue.  The first way is 
to amend Appendix A so that the current procedure is made unambiguous and 
clear.  The advantage of this is that it causes the minimal amount of 
change to the actual process.  The disadvantage is that if the main problem 
is real, there are multiple interpretations as to what the proper 
unambiguous method is.

The second way is to look for what the faults are in the current process 
are, and amend Appendix A with a better procedure that is also unambiguous 
and clear.  I think I prefer this way.

What I would consider ideally unambiguous for a replacement for A.6 would 
be pseudocode for determining the election, rather than the poorly-written 
english we have now.  Something that most of the Debian Developers could 
probably be able to sit down, code in their favorite language, and get all 
get the same answers.


On Wed, Nov 29, 2000 at 07:28:44AM -0500, Buddha Buck wrote:
  Whether one criteria is better than another is of course a matter of
  opinion.

Agreed.  Still, consensus is possible.

  Above, you prefer Single Transferable Vote (which also appears to be
  called "Instant Runoff Voting" or "IRV" on most of the voting method
  websites) because it "biases selection in favor of first preferences
  at the expense of other preferences". Obviously, you think this is a
  good thing.

Sure -- but logically, if I'm a voter, and I indicate a second and third
preference on a ballot, that shouldn't weaken the strength of my first
preference.

I was going to say that I would consider that a valid criteria to consider 
for a voting system, but then I realized that I don't understand what you 
mean.  Could you elaborate?

I don't know if IRV has the problem that your 2nd or 3rd choice votes could 
cause your 1st vote choice to lose, but IRV does have the problem that in 
certain cases, your 2nd choice vote could cause your 3rd choice to 
win.  The http://www.electionmethods.org/ site describes this.

  Others may prefer other methods because they reverse the preferences of
  the fewest number of voters.  This is a different criteria.  Is it
  better?  I think so, and so do others.  You may not.  Most of the
  "traditional" Condorcet resolution methods favor this criteria.

Sure -- mediocracy tends to be easy to agree on.

Again, I don't understand what you mean...

Here's what I meant...

In a Condorcet vote, if there is one choice which pairwise defeats all 
other choices, then that choice wins.  That's a pretty good indication that 
that choice is well supported.  However, if there is no choice that 
pairwise defeats all other choices, then you must have a cycle(s) of some 
sort:  More people prefer A to B, more B to C, more C to A, in the simplest 
of cycles.  To claim an absolute victor, the cycle(s) needs to be broken, 
effectively reversing one or more of the pair-wise contests.  Such a 
reversal is effectively overriding voters expressed preferences,


  I think the best we can do is list a bunch of alternatives, with
  explanations and descriptions of their advantages and disadvantages,
  and discuss from there.

I'm willing (see above :).

   I'll note that the URL you cited doesn't have anything equivalent to
   Single Transferrable Vote.  [So it's not comprehensive.]  I don't think
   "my favorite web site doesn't mention this system" somehow makes the
   systems it proposes to be somehow superior.
 
  The URL I'm looking at does not discuss IRV under Condorcet resolution
  methods, but it does discuss IRV as a technique for general elections
  (i.e., an alternative to Condorcet).  I'm looking at http://
  www.electionmethods.org/, which does have some faults (it has an
  -extreme- bias towards Condorcet and against plurality and IRV, for
  instance).

Turns out I'd missed the cite.

   The nice thing about Single Transferrable Vote is that it
   automatically makes first preference votes more important than
   second preference votes (and so on). There are few systems at the
   URL you cited which even attempt this.
 
  Most of the Condorcet resolution methods I've seen don't attempt that
  because they don't see it as a valid criteria. They see overruling the
  fewest number of votes to be a valid criteria.

Right, but that's method, and not a reason why.

  Actually, I did find one description of a voting concern that does
  severely impact IRV. IRV requires the multiple examination of every
  ballot, which can be prohibitive if the number of ballots is huge,
  or fragile, etc. Since most voting reform sites are concerned with
  reform of real-world 

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-11-29 Thread Anthony Towns

On Wed, Nov 29, 2000 at 09:05:09AM -0500, Raul Miller wrote:
  Please reread: [...] for the explanation.
 Eh?  All I see is that my proposal is less ambiguous than the current
 constitution for this kind of case.

 [Those specific messages are where we were talking at cross purposes --

*sigh*

I'll repeat myself then.

Taking the obvious, verbatim, `I have no initiative of my own, nor
any idea what's gone before' interpretation of the constitution, then
the non-free problem would be dealt with as follows:

* An initial vote, with no supermajority or quorum requirements,
  on whether the resolution takes the form "A: The developers
  resolve to remove non-free from the social contract, etc" or "B:
  The developers resolve to move non-free to a separate server"
  or whether further discussion should take place.

* Depending on the result of the initial vote, either:
+ further discussion would take place
+ if A won the initial vote, a final vote would take place
  with options Yes/No/Further Discussion, with (let us assume)
  3:1 supermajority requirements, and a quorum of 3Q.
+ if B won the initial vote, a final vote would take place
  with options Y/N/F with a mere majority requirement, and
  a quorum of 3Q.

The first vote might end up going like this:

60 voters vote ABF  (people who want to get rid of non-free)
40 voters vote BAF  (people who want to de-emphasise it somehow)
10 voters vote F(people who like non-free how it is)

Without quorum or supermajority requirements coming in to play, this
results in A dominating B, 60 to 40, and both A and B dominating F 100
to 10, so A wins. The second vote, presumably results in:

100 votes Y
10 votes N

and A wins with a clear supermajority.

With your rule, you instead just have an initial vote, with the initial
pairwise preferences:

A dominates B, 60 to 40
A dominates F, 100 to 10
B dominates F, 100 to 10

which are then scaled with supermajority requirements to be:

B dominates A, 40 to 20
A dominates F, 33.3 to 10
B dominates F, 100 to 10

and B wins by dominating all other options.

If the majority of people prefer option A to option B, and a supermajority
of people are willing to accept option A, I don't see any reason to do
B instead, merely becase A doesn't have a supermajority over B as well.

Scaling only in comparison to "Further Discussion" does not have this
problem.


The other, independent, question is what to do when the Condorcet winner
doesn't meet it's supermajority requirement. That is, a simple majority
of people prefer some particular option to all others, but there isn't a
supermajority that's willing to accept it. There are two ways of handling
it I can think of: either try the next preferred option, or go back to
further discussion.

My initial impression was that further discussion was the safer choice,
but I'm not convinced of that, at the moment.

Something akin to:

* Scale pair-wise comparisons against further discussion according
  to each option's supermajority requirement
* Find the Smith set
* If the Smith set is empty, or contains the default option, the
  default option wins
* Otherwise the winner is determined by applying STV to the Smith set

would allow you to fall back to some less preferred choice that does
meet its supermajority requirements, if that's appropriate. I'm not
sure what the exact effect of the third point (either using it as such,
or replacing it with some other rule to remove options that don't meet
their supermajority requirement) would be in general.

  A much fairer supermajority requirement would simply be:
  
  A.6(3) A supermajority of N:M for an option A is met when the number of
 votes ranking A higher than the default option, divided by N is 
 greater than than the number of votes ranking the default option
 higher than A.
 So, a 3:1 supermajority is required to pass a constitutional amendment,
 101 ballots YES:NO
 100 ballots NO:YES
 [No one wants to talk about it any more, and the results are almost
 even.]

Those aren't realistic votes: there's no default option listed, which there
must be.

One possible interpretation would be:

101 ballots YNF
100 ballots NYF

in which case Y wins, with a supermajority of 201 to 0.

Another would be:

101 ballots YNF
100 ballots NFY

in which case Y loses because 101:100 is not a 3:1 supermajority, and either
the vote defaults to further discussion, or falls back to N (preferred 201
to 0 over F).

 Now, if you're trying to say that my version has some ambiguity about
 it, well.. that might be true.  But I'm not quite seeing it, yet.

No, your version has results inconsistent with the system roughly as it

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-11-29 Thread Raul Miller

On Thu, Nov 30, 2000 at 02:34:58AM +1000, Anthony Towns wrote:
 With your rule, you instead just have an initial vote, with the initial
 pairwise preferences:
 
   A dominates B, 60 to 40
   A dominates F, 100 to 10
   B dominates F, 100 to 10

What part of my proposed A.6 leads you to believe this?  [It's other
parts of the constitution which specify how the ballots are constructed.]

 which are then scaled with supermajority requirements to be:
 
   B dominates A, 40 to 20
   A dominates F, 33.3 to 10
   B dominates F, 100 to 10
 
 and B wins by dominating all other options.

Supermajority doesn't apply on votes which are not final votes,
since they won't be ammending the constitution.

-- 
Raul


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Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-11-29 Thread Raul Miller

  What part of my proposed A.6 leads you to believe this?  [It's other
  parts of the constitution which specify how the ballots are constructed.]

On Thu, Nov 30, 2000 at 11:16:14AM +1000, Anthony Towns wrote:
 If you still require N initial votes and 1 final vote, it has no benefit
 over the current wording, at all, since supermajorities only apply to
 final votes, which are forced to have simply Yes/No/Further Discussion
 as their options.

This is an allowed option, but it's not required.  So the specific
case you mentioned can be handled in exactly the way you specified.
However, it could also be handled in a different fashion.  This 
would depend on the way the ballots are prepared.

 If you'd rather that I'd phrased it as "you instead just have a final
 vote, with the pairwise preferences", you're welcome to take it as that.

"It?"  [Sorry, there's too many concepts flying around for me to parse
this reasonably.]

 Again, the three things that need to be changed in the constitution,
 IMO, are:
 
   a) resolving circular ties needs to be decided on and spelled out

I think I dealt with that.

   b) votes with multiple options need to be able to be handled by a
  single vote

That's already possible.  

   c) supermajority requirements need to be updated to cope with (b)

There was a question about exactly what supermajority meant in this
context, and while I recognize the interpretations which give rise to
that ambiguity, I think I see what is supposed to happen there. I like
to believe that my alternate phrasing is unambiguous about this.

On Thu, Nov 30, 2000 at 11:41:26AM +1000, Anthony Towns wrote:
 One problem if you don't have further discussion win more often than it
 perhaps should is as follows:
 
 Suppose you have three options on your ballot, A, B and F. A requires a
 3:1 supermajority. Sincere preferences are:
   60 people order the options A, B, F
   40 people order the options B, A, F
 in which case A would win by dominating B 60:40 and F 100:0 (33.3:0). 

Since a vote for B is a vote against A, I completely disagree with
this assesment.

Quoting the constitution:

7. If a supermajority is required the number of Yes votes in the
   final ballot is reduced by an appropriate factor. Strictly
   speaking, for a supermajority of F:A, the number of ballots which
   prefer Yes to X (when considering whether Yes Dominates X or X
   Dominates Yes) or the number of ballots whose first (remaining)
   preference is Yes (when doing STV comparisons for winner and
   elimination purposes) is multiplied by a factor A/F before the
   comparison is done. This means that a 2:1 vote, for example, means
   twice as many people voted for as against; abstentions are not
   counted.

After substituting meta-syntactic variables, this would read:

7. If a supermajority is required the number of A votes in the
   final ballot is reduced by an appropriate factor. Strictly
   speaking, for a supermajority of 3:1, the number of ballots
   which prefer A to B (when considering whether A Dominates B or
   B Dominates A) or the number of ballots whose first (remaining)
   preference is A (when doing STV comparisons for winner and
   elimination purposes) is multiplied by a factor 1/3 before the
   comparison is done. This means that a 3:1 vote, for example, means
   three times as many people voted for as against; abstentions are
   not counted.

[You might try to claim that some of these are not meta-syntactic
variables -- but that would be equivalent to the claim that there is no
3:1 supermajority requirement for A, in this vote.]

-- 
Raul


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Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-11-29 Thread Anthony Towns

On Wed, Nov 29, 2000 at 10:30:05PM -0500, Raul Miller wrote:
 On Thu, Nov 30, 2000 at 11:16:14AM +1000, Anthony Towns wrote:
  If you still require N initial votes and 1 final vote, it has no benefit
  over the current wording, at all, since supermajorities only apply to
  final votes, which are forced to have simply Yes/No/Further Discussion
  as their options.
 This is an allowed option, but it's not required.  

Gag. Can you *please* try to follow?

A clear and obvious interpretation of the constitution is that it is
possible to decide on an issue by having N + 1 votes, initially N votes
to decide on what form the resolution should take, followed by 1 vote
to ensure quorum and supermajority requirements are met, and to see if
the resolution is passed.

Given a particular sentiment in the Debian community with regard to these
possibilities, this procedure results in a particular outcome.

If, instead, for expediency perhaps, you choose the method you describe
(a single vote with all the options, supermajorities and quorums all taken
into account as you describe) you can end up with a *different* result.

That is, supporters of, say, option A have a reason to argue for the N+1
votes to take place, whereas supports of option B have a reason to argue
for the resolution to be decided by a single vote, since whichever way the
vote is processed can dictate who wins.

 However, it could also be handled in a different fashion.  This 
 would depend on the way the ballots are prepared.

Yeah, sure: being able to handle to vote differently (and thus get it
over and done with quicker) is a good thing, but not if it changes the
result of the vote.

The decision should be made based *solely* on the wishes of the community,
not based on whether the secretary feels like being expedient or not.

  If you'd rather that I'd phrased it as "you instead just have a final
  vote, with the pairwise preferences", you're welcome to take it as that.
 "It?"  [Sorry, there's too many concepts flying around for me to parse
 this reasonably.]

How, exactly, do you propose the non-free vote, say, be resolved with a
single vote, then?

  Again, the three things that need to be changed in the constitution,
  IMO, are:
  a) resolving circular ties needs to be decided on and spelled out
 I think I dealt with that.

Yes.

  b) votes with multiple options need to be able to be handled by a
 single vote
 That's already possible.  

Only by secretarial interpretation.

  c) supermajority requirements need to be updated to cope with (b)
 There was a question about exactly what supermajority meant in this
 context, and while I recognize the interpretations which give rise to
 that ambiguity, I think I see what is supposed to happen there. I like
 to believe that my alternate phrasing is unambiguous about this.

It's unambiguous, but it has undesirable properties (ie, as well as voting
in a particular way, supporters of one side or the other have a stake in
how the issue is voted on also, since one way makes one group more likely
to win, and another way makes another group more likely to win).

To be specific: supposing no one actually minds getting rid of non-free,
everyone wants to see it moved off the mirrors, in general, but there is a
reasonable minority of people who would rather see it kept on some out of
the way machine, just for old times sake.

In the N+1 vote system, the votes go like:
60 Remove, Move, Further Discussion
40 Move, Remove, Further Discussion
Remove wins, and the final vote is:
100 Yes, Further Discussion, No
and Remove wins.

If, however, some of the 40 people connive together privately, and
convince the secretary to decide the issue in a single vote, using
your interpretation of the supermajority clause, they vote instead goes
something like:
60 Remove, Move, Further Discussion, Do Nothing
40 Move, Remove, Further Discussion, Do Nothing
and the results are scaled to:
Remove dominates Further Discussion  Do Nothing, 33.3 to 0
Move dominates Further Discussion  Do Nothing, 100 to 0
Move dominates Remove, 40 to 20
and, the 40 people who prefered Move rejoice having won the vote.

Surely you agree that a minority of people being able to subvert the
resolution procedure to get what they want instead of what the majority
want is a bad thing?

 On Thu, Nov 30, 2000 at 11:41:26AM +1000, Anthony Towns wrote:
  One problem if you don't have further discussion win more often than it
  perhaps should is as follows:
  Suppose you have three options on your ballot, A, B and F. A requires a
  3:1 supermajority. Sincere preferences are:
  60 people order the options A, B, F
  40 people order the options B, A, F
  in which case A would win by dominating B 60:40 and F 100:0 (33.3:0). 
 Since a vote for B is a vote against A, I completely disagree with
 this assesment.

A vote for B is *NOT* a vote against A.

A vote for B over A says "I would 

Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-11-29 Thread Raul Miller

On Thu, Nov 30, 2000 at 11:41:26AM +1000, Anthony Towns wrote:
   One problem if you don't have further discussion win more often than it
   perhaps should is as follows:
   Suppose you have three options on your ballot, A, B and F. A requires a
   3:1 supermajority. Sincere preferences are:
 60 people order the options A, B, F
 40 people order the options B, A, F
   in which case A would win by dominating B 60:40 and F 100:0 (33.3:0). 

  Since a vote for B is a vote against A, I completely disagree with
  this assesment.

On Thu, Nov 30, 2000 at 02:00:57PM +1000, Anthony Towns wrote:
 A vote for B is *NOT* a vote against A.

If B wins, A loses.

What's your definition of a vote against A?

 A vote for B over A says "I would prefer it if Debian resolved B",
 not "I think it would be unacceptable if Debian resolved A".

If B wins, A loses.

  After substituting meta-syntactic variables, this would read:
 
 "Yes" is not a metasyntactic variable, however. (If it were, section
 A.3(2) would have to be read as requiring the final vote to have three
 options, and that supermajority requirements only apply to the first
 option).

Try reading A.3(3).  Also, what I said before:

  [You might try to claim that some of these are not meta-syntactic
  variables -- but that would be equivalent to the claim that there is no
  3:1 supermajority requirement for A, in this vote.]

 There are three ways of handling supermajorities under discussion, afaict:
 
   * Two (N+1) votes, the latter being Y/N/F with Y requiring the
 supermajority, and no supermajority requirement in the former
 vote.

Agreed.

   * A single vote, where the pairwise preferences for A against
 "Further Discussion" (only) are scaled according to A's
 supermajority requirements.

F:A in A.6(7) stands for For:Against.  Not Further Discussion : Option A.

Alternatively: F:A stands for two small integers, and does not in any
way specify the notation used to label the ballot choices.

   * A single vote, where the pairwise preferences for A against
 all other options are scaled according to A's supermajority
 requirement. [0]

This is what A.3(3) specifies [given what's already said in A.3(1),
A.3(2) and A.6(7)].

 The first two of these methods can be made to have the same results in
 all cases, given a particular sentiment among the electors. The latter
 method will give different results in a number of cases.

I'm dubious.  But let's first try to agree on terminology before we
discuss this any further.

Thanks,

-- 
Raul


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Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-11-29 Thread Anthony Towns

On Wed, Nov 29, 2000 at 11:52:53PM -0500, Raul Miller wrote:
  * A single vote, where the pairwise preferences for A against
"Further Discussion" (only) are scaled according to A's
supermajority requirements.
 F:A in A.6(7) stands for For:Against.  Not Further Discussion : Option A.

I'm not claiming that the constitution as it stands can or should be
interpreted in this way. I'm suggesting it as a possible way things can
be done in future after the constitution in amended.

I have been, and continue to be, very conservative in how I'm willing
to interpret the constitution. I'd've thought you'd have noticed this
by now...

  * A single vote, where the pairwise preferences for A against
all other options are scaled according to A's supermajority
requirement. [0]
 This is what A.3(3) specifies [given what's already said in A.3(1),
 A.3(2) and A.6(7)].

No, this is how you interpret A.3(3). That's a very different thing.

Is clear and obvious and not in any sort of dispute that "F" and "A", and
"A", "B" and "X" are metasyntactic variables. It's not at all obvious that
"Yes" and "No" are, no matter how strongly you might assert it.

Cheers,
aj

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Re: Condorcet Voting and Supermajorities (Re: [CONSTITUTIONAL AMENDMENT] Disambiguation of 4.1.5)

2000-11-29 Thread Raul Miller
On Wed, Nov 29, 2000 at 12:36:21PM +1000, Anthony Towns wrote:
 That depends what you consider plausible. I'm willing to believe the
 constitution has bugs, and that in some circumstances it may very well
 come up with nonsensical results for a vote. So I'm not willing to rule
 such an answer implausible.

It sounds as if you're interested in interpreting the constitution such
that the results are nonsensical.

  Single Transferable Vote biases the selection in favor of first
  preferences at the expense of other preferences. Can you think of a
  better kind of criteria for making the selection?

 Other methods can be found at the URLs I cited at the start of the
 thread. Reversing the fewest and weakest pairwise defeats (ie, using
 the smallest possible casting vote) is probably another reasonable
 alternative. But, as I said, I don't profess to know enough about
 cycle breakers to really say.

But: I'm not asking are there other methods, I'm asking what's a
better criteria? and why?

I'll note that the URL you cited doesn't have anything equivalent to
Single Transferrable Vote.  [So it's not comprehensive.]  I don't think
my favorite web site doesn't mention this system somehow makes the
systems it proposes to be somehow superior.

The nice thing about Single Transferrable Vote is that it automatically
makes first preference votes more important than second preference votes
(and so on).  There are few systems at the URL you cited which even
attempt this.

 This sort of situation happens no matter how you resolve a cyclic tie,
 though. You pretty much have to be unfair in some sense to choose a
 winner. As I said, I'm inclined to suspect that there other means are
 likely to be more optimal, although I'm not clear exactly how.

It really sounds more as if you want to find faults in the constitution
than you've thought this through and have a better alternative to propose.

That's not in and of itself a bad thing, but it does lead to a lot
of talk.

Thanks,

-- 
Raul



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