[EM] Beatpath GMC compliance a mistaken standard?

2009-01-26 Thread Chris Benham
Kevin, You wrote (25 Jan 2009): I think there ought to be a clear distinction between criteria whose violation is absurd no matter what the circumstances, and criteria whose violation is absurd due to other available options. I don't see why (particularly). There are very few (named) criteria

Re: [EM] Beatpath GMC compliance a mistaken standard?

2009-01-25 Thread Kevin Venzke
Hi Chris, --- En date de : Ven 23.1.09, Chris Benham cbenha...@yahoo.com.au a écrit : I can't see what's so highly absurd about failing mono-append. It's basically a limited case of mono-raise, and one that doesn't seem especially more important. Is it absurd to fail mono-raise? The

Re: [EM] Beatpath GMC compliance a mistaken standard?

2009-01-23 Thread Chris Benham
Kevin, I can't see what's so highly absurd about failing mono-append. It's basically a limited case of mono-raise, and one that doesn't seem especially more important. Is it absurd to fail mono-raise? The absurdity of failing mono-append is compounded by the cheapness of meeting it. As with

Re: [EM] Beatpath GMC compliance a mistaken standard?

2009-01-12 Thread Kevin Venzke
Hi Chris, --- En date de : Lun 12.1.09, Chris Benham cbenha...@yahoo.com.au a écrit : Kevin, You wrote (11 Jan 2009): There are reasons for criteria to be important other than how easy they are to satisfy. Otherwise why would we ever bother to satisfy the difficult criteria? Well,

Re: [EM] Beatpath GMC compliance a mistaken standard?

2009-01-11 Thread Kristofer Munsterhjelm
Paul Kislanko wrote: This still makes no sense to me, since C has no more a majority in case 2 than it had in case 1. If mutual majority selects (A B) in case 1 and (A B C) in case 2, it makes no sense at all and should never be mentioned again. Mutual majority can still be useful. Let's

Re: [EM] Beatpath GMC compliance a mistaken standard?

2009-01-11 Thread Paul Kislanko
...@lists.electorama.com [mailto:election-methods-boun...@lists.electorama.com] On Behalf Of Kevin Venzke Sent: Saturday, January 10, 2009 1:25 PM To: election-meth...@electorama.com Subject: Re: [EM] Beatpath GMC compliance a mistaken standard? Hi Chris, --- En date de : Sam 10.1.09, Chris Benham cbenha

Re: [EM] Beatpath GMC compliance a mistaken standard?

2009-01-11 Thread Juho Laatu
-methods-boun...@lists.electorama.com] On Behalf Of Kristofer Munsterhjelm Sent: Sunday, January 11, 2009 2:23 AM To: election-meth...@electorama.com Cc: 'Markus Schulze' Subject: Re: [EM] Beatpath GMC compliance a mistaken standard? Paul Kislanko wrote: This still makes no sense to me

Re: [EM] Beatpath GMC compliance a mistaken standard?

2009-01-11 Thread Kevin Venzke
Hi Paul, Regarding mutual majority: The problem is that the BA voters cannot be counted as solidly committed to {A}. They can only be counted to {B} and {A,B}. The additional A bullet voters can only be counted to {A}. C was excluded in scenario 1 because {A,B} possessed a majority. The new A

Re: [EM] Beatpath GMC compliance a mistaken standard? JL

2009-01-11 Thread Kevin Venzke
Hi Juho, --- En date de : Dim 11.1.09, Juho Laatu juho4...@yahoo.co.uk a écrit : Now Mutual Majority elects {A,B,C}. Here words Now Mutual Majority elects {A,B,C} are a bit confusing since mutual majority doesn't set any requirements on who should be elected (nor elect anyone). ...

[EM] Beatpath GMC compliance a mistaken standard?

2009-01-11 Thread Chris Benham
Kevin, You wrote (10 Jan 2009): 26 AB 25 BA 49 C Mutual Majority elects {A,B} Now add 5 A bullet votes: 26 AB 25 BA 49 C 5 A Now Mutual Majority elects {A,B,C}. Oops!  (I knew that!)  Sorry for falsely contradicting you. Why is mono-add-plump important? Because as an election method

Re: [EM] Beatpath GMC compliance a mistaken standard?

2009-01-11 Thread Kristofer Munsterhjelm
Juho Laatu wrote: --- On Sun, 11/1/09, Kristofer Munsterhjelm km-el...@broadpark.no wrote: Let's consider the first election first, with truncation extended to full preference: 26: A B C 25: B A C 49: C A = B A B C: 100 prefer {A B C} to the empty set This case is

Re: [EM] Beatpath GMC compliance a mistaken standard?

2009-01-11 Thread Juho Laatu
--- On Sun, 11/1/09, Kristofer Munsterhjelm km-el...@broadpark.no wrote: Juho Laatu wrote: --- On Sun, 11/1/09, Kristofer Munsterhjelm km-el...@broadpark.no wrote: Let's consider the first election first, with truncation extended to full preference: 26: A B C 25: B A C 49:

Re: [EM] Beatpath GMC compliance a mistaken standard? JL

2009-01-11 Thread Kevin Venzke
Hi Juho, --- En date de : Dim 11.1.09, Juho Laatu juho4...@yahoo.co.uk a écrit : If there is a set of voters that form a majority and they all prefer all candidates of set A to all candidates of set B then candidates of set B should not win. This helps A (as requested) by at least

Re: [EM] Beatpath GMC compliance a mistaken standard? JL

2009-01-11 Thread Juho Laatu
] Beatpath GMC compliance a mistaken standard? JL To: election-meth...@electorama.com Date: Monday, 12 January, 2009, 12:20 AM Hi Juho, --- En date de : Dim 11.1.09, Juho Laatu juho4...@yahoo.co.uk a écrit : If there is a set of voters that form a majority and they all prefer all candidates

Re: [EM] Beatpath GMC compliance a mistaken standard?

2009-01-11 Thread Kevin Venzke
Hi Chris, --- En date de : Dim 11.1.09, Chris Benham cbenha...@yahoo.com.au a écrit : Kevin, You wrote (10 Jan 2009): 26 AB 25 BA 49 C Mutual Majority elects {A,B} Now add 5 A bullet votes: 26 AB 25 BA 49 C 5 A Now Mutual Majority elects {A,B,C}. Oops!  (I knew that!) 

[EM] Beatpath GMC compliance a mistaken standard?

2009-01-11 Thread Chris Benham
Kevin, You wrote (11 Jan 2009): There are reasons for criteria to be important other than how easy they are to satisfy. Otherwise why would we ever bother to satisfy the difficult criteria? Well, if  as I said none of the criteria were incompatible with each other then presumably none of the

Re: [EM] Beatpath GMC compliance a mistaken standard?

2009-01-10 Thread Markus Schulze
Dear Paul Kislanko, Kevin Venzke wrote (10 Jan 2009): [Situation #1] 26 AB 25 BA 49 C Mutual Majority elects {A,B} Now add 5 A bullet votes: [Situation #2] 26 AB 25 BA 49 C 5 A Now Mutual Majority elects {A,B,C}. You wrote (10 Jan 2009): I guess I don't understand mutual

Re: [EM] Beatpath GMC compliance a mistaken standard?

2009-01-10 Thread Paul Kislanko
] Beatpath GMC compliance a mistaken standard? Dear Paul Kislanko, Kevin Venzke wrote (10 Jan 2009): [Situation #1] 26 AB 25 BA 49 C Mutual Majority elects {A,B} Now add 5 A bullet votes: [Situation #2] 26 AB 25 BA 49 C 5 A Now Mutual Majority elects {A,B,C}. You wrote (10 Jan

Re: [EM] Beatpath GMC compliance a mistaken standard?

2009-01-10 Thread Markus Schulze
Dear Paul Kislanko, I wrote (10 Jan 2009): For situation #2, we get: column1 / column2 A / 31 B / 25 C / 49 AB / 51 AC / 0 BC / 0 So mutual majority says nothing. You wrote (10 Jan 2009): How can mutual majority say nothing? Only if no combination has a majority. But A is in the

Re: [EM] Beatpath GMC compliance a mistaken standard?

2009-01-10 Thread Kevin Venzke
Hi Paul, --- En date de : Sam 10.1.09, Paul Kislanko kisla...@airmail.net a écrit : If a majority of voters (with the new voters, and where did they come from anyway) You can view them as voters who are debating staying home instead of voting. The issue is whether this can benefit them and

Re: [EM] Beatpath GMC compliance a mistaken standard?

2009-01-10 Thread Paul Kislanko
Of Kevin Venzke Sent: Saturday, January 10, 2009 4:07 PM To: election-meth...@electorama.com Subject: Re: [EM] Beatpath GMC compliance a mistaken standard? Hi Paul, --- En date de : Sam 10.1.09, Paul Kislanko kisla...@airmail.net a écrit : If a majority of voters (with the new voters, and where did

Re: [EM] Beatpath GMC compliance a mistaken standard?

2009-01-10 Thread Markus Schulze
Dear Paul Kislanko, you wrote (10 Jan 2009): The second scenario is 26 AB 25 BA 49 C 5 A which has 105 voters. 56 include A on any ballot and that's a majority. 51 include B, and that's not a majority. So how is B a possible winner under the second scenario? Mutual majority

Re: [EM] Beatpath GMC compliance a mistaken standard?

2009-01-10 Thread Paul Kislanko
PM To: kisla...@airmail.net; election-meth...@electorama.com Subject: Re: [EM] Beatpath GMC compliance a mistaken standard? Dear Paul Kislanko, you wrote (10 Jan 2009): The second scenario is 26 AB 25 BA 49 C 5 A which has 105 voters. 56 include A on any ballot and that's a majority

Re: [EM] Beatpath GMC compliance a mistaken standard?

2009-01-10 Thread Markus Schulze
Dear Paul Kislanko, you wrote (10 Jan 2009): The second scenario is 26 AB 25 BA 49 C 5 A I ask again, in the post I replied to, it was claimed mutual majority selected (A,B,C) in the 2nd case. I wondered how that was possible, and you agree that it isn't. Kevin Venzke wrote:

[EM] Beatpath GMC compliance a mistaken standard? (was GMC compliance...)

2009-01-09 Thread Chris Benham
Marcus, You wrote (8 Jan 2009): Statement #1: Criterion X does not imply criterion Y. Statement #2: Criterion X and criterion Y are incompatible. Statement #1 does not imply statement #2. But in your 29 Dec 2008 mail, you mistakenly assume that statement #1 implies statement #2. No I didn't.

Re: [EM] Beatpath GMC compliance a mistaken standard? (was GMC compliance...)

2009-01-09 Thread Markus Schulze
Dear Chris Benham, you are the only one who uses the fact, that criterion X doesn't imply criterion Y, as an argument against criterion X. That's the same as rejecting monotonicity for not implying independence of clones. Your argumentation is not complicated. It is simply false. Markus Schulze

[EM] Beatpath GMC compliance a mistaken standard? (was GMC compliance...)

2009-01-08 Thread Chris Benham
Marcus,   You wrote (29 Dec,2008):   You wrote: All three candidates have a majority beatpath to each other, so GMC says that any of them are allowed to win. No! Beatpath GMC doesn't say that any of them are allowed to win; beatpath GMC only doesn't exclude any of them from winning. I can't see

Re: [EM] Beatpath GMC compliance a mistaken standard? (was GMC compliance...)

2009-01-08 Thread Markus Schulze
Dear Chris Benham, you wrote (29 Dec 2008): I think that compliance with GMC is a mistaken standard in the sense that the best methods should fail it. The GMC concept is spectacularly vulnerable to Mono-add-Plump! [Situation #1] 25: AB 26: BC 23: CA 04: C 78 ballots (majority