Markus--
I'd asked:
But which of my criteria use the term "majority-rejected"?
You replied:
Did I say that one of your criteria uses the term "majority- rejected"?
I reply:
You said that my criteria apply only to MinMax because "majorilty-rejected" applies only to MinMax (whatever you mean by MinMax).
Markus said:
You used the concept of "majority-rejected" candidates when you proposed MinMax(winning votes).
I reply:
I've used that term, but it has no role in defining my criteria, and so It gives you no justification for your claim that my criteria apply only to MinMax (whatever MinMax means).
You continued:
In your 26 Feb 2005 mail, you claimed that you didn't only propose MinMax(winning votes), but that you proposed "winning votes" methods in general.
I reply:
That's correct.
You continued:
You wrote (26 Feb 2005): "He [= David Gamble] asked who first proposed the wv Condorcet methods. I'd proposed the wv Condorcet methods."
I reply:
Correct.
You continued:
But your concept of "majority-rejected" candidates cannot be used for other methods than MinMax.
I reply:
Let's grant that as correct, but is there a point that you're trying to make with it?
You continued:
Therefore, the fact that you proposed your concept of "majority-rejected" candidates to motivate MinMax(winning votes) doesn't support your claim that you proposed "winning votes" methods in general.
I reply:
Excuse me, but did I use "majority-rejected" to support my claim that I proposed "winning-votes" methods in general?
...because the fact that I used the term "majority rejected" doesn't relate in any way to my claim that I was the first proponent of winning votes Condorcet.
I proposed winning-votes Condorcet, and I've used the term "majority rejected". If you're saying thast there's a contradiction there, you haven't been clear with us about why you think there's a contradiction.
But I hereby give you permission to stop talking about "majority-rejected". I don't claim to have a precise definition of "majority-rejected". Nor do my other definitions use "majority-rejected". But, just for you, I'll post a definition of "majority-rejected", within a few days, when I've caught up with EM e-mail--though that definition isn't needed, since that term isn't used in my other definitions.
You continued:
You wrote (7 March 2005): Does BeatpathWinner meet your criterion that you posted as an alternative wording for SFC?
I reply:
To be honest, I haven't yet understood when you use the term "CSSD" and when you use the term "BeatpathWinner".
I reply:
You mean, other than that I've defined both termss on EM, and at http://www.barnsdle.demon.co.uk/vote/sing.html?
Maybe you should have said "To be less than honest,..." :-)
CSSD stands for Cloneproof Schwartz Sequential Dropping. It's equivalent to BeatpathWinner.
I'd say that BeatpathWinner is another name for what you refer to as "Schulze's method", except that your meaning of "Schulze's method" has apparently changed, and so I don't know for sure which meaning you're using these days.
So, I'm going to give you a definition of BeatpathWinner, since you say that you don't understand what the term means:
May I assume that you know what a beatpath is? And that you know what is meant by the strength of a defeat, in wv methods?
1. The strength of a beatpath is defined as numerically equal to the strength of its weakest defeat.
2. X has a beatpath win against Y iff the strongest beatpath from X to Y is stronger than the strongest beatpath from Y to X.
3. A candidate wins if no one has a beatpath win against him/her.
[end of BeatpathWinner definition]
So then, I repeat my question:
Does BeatpathWinner comply with the criterion that you posted as your version of SFC?
You continued:
(To the other readers: Both terms are only different names of the Schulze method.)
I reply:
But you said that, to be perfectly honest, you don't understand those two terms. Now apparently you do understand them. Well then, why didn't you answer my question?
You continued:
In the past, you used to prefer the term "CSSD". So is there a special reason why you don't ask?: "Does CSSD meet your criterion that you posted as an alternative wording for SFC?"
I reply:
Yes there is. Here's the special reason: BeatpathWinner and CSSD are equivalent, and so, in terms of their results, they can be regarded as the same method (though, in terms of implementation they're different methods). We needn't debate whether they're the same or different, need we?
That's my special reason for using the term "BeatpathWinner/CSSD".
But, if it would make you happy,
Does CSSD meet your criterion that you posted as an alternative wording for SFC?
Mike Ossipoff
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