Hi, This post is just about criteria generally.
--- Abd ul-Rahman Lomax <[EMAIL PROTECTED]> a écrit : > At 10:52 AM 2/19/2007, Kevin Venzke wrote: > >--- Abd ul-Rahman Lomax <[EMAIL PROTECTED]> a écrit : > > > Election criteria sometimes presume omniscience. For example, the > > > Majority Criterion is based upon voter preferences that may not be > > > expressed, or even expressable, in the votes. "Prefer," as it was > > > clearly interpreted here, refers to a mental state of the voter..... > > > >Well, I wouldn't define MF that way. But I can go with this. We can > >say that MF says that if there is a majority favorite on sincere > >preferences, and voting is sincere, the MF wins. > > If you use actual votes rather than unexpressed > but sincere preferences, then Approval satisfies > Majority Favorite. But when I pointed that out > here, I was told, quite clearly and with nobody > chiming in with support for my position, that the > Majority Criterion -- which I think is the same > as MF -- was about sincere preferences, not about actual votes. I'm pretty sure I expressed my stance during that discussion. For me MF is not about sincere preferences, and neither does Approval satisfy it. My scheme requires methods to be interpreted as rank methods (allowing equal ranking and truncation). Methods are not barred from having other components that affect the result, though. If the ballot format doesn't allow equal ranking and truncation, the voter is still imagined to be able to submit them, but when finding the result these should be fixed arbitrarily to conform to the ballot requirements. (This is important for instance when a criterion intends that truncation be effective for defensive strategy. Disallowing truncation on the ballot shouldn't allow the method to satisfy the criterion merely because no scenario appears to apply to it.) I know of three ways to evaluate Approval under this scheme: That the voter is only submitting first preferences, that the voter is submitting non-last preferences, and that the voter submits only the position of an approval cutoff and no rankings. Of these three, the only one that allows Approval to satisfy MF is the first one, which I find to be the least intuitive. As far as I can see, Range would have to be interpreted in the last way. Rating data exists with the rank data and can probably be assumed to be consistent with it. It's true that it's a disadvantage that non-rank methods require special interpretations and more than one may be possible. (Although, incidentally, Mike's criticism that my scheme can't be used to show that Approval and Range fail SFC is quite strange. SFC is defined on sincere preferences. If Mike means "what I use in place of SFC" then I believe it's at least true that there is no way to interpret Approval or Range such that they satisfy the criterion under my scheme.) I'll reply to the rest later. I'm short time... Kevin Venzke ___________________________________________________________________________ Découvrez une nouvelle façon d'obtenir des réponses à toutes vos questions ! Profitez des connaissances, des opinions et des expériences des internautes sur Yahoo! Questions/Réponses http://fr.answers.yahoo.com ---- election-methods mailing list - see http://electorama.com/em for list info