Hello, --- Abd ul-Rahman Lomax <[EMAIL PROTECTED]> a écrit : > At 06:44 PM 9/11/2005, Kevin Venzke wrote: > >I thought about this a bit. Consider this election: > > > >49 A > >24 B>E > >27 C>D>B>E > > > >C has 3 wins, and is the only Copeland winner. > > Let's look at this. C is not just the Copeland winner, C is the > Condorcet winner,
C is not the Condorcet winner. There is no Condorcet winner. Schulze(wv), Tideman(wv), River, Minmax(wv), and e.g. DMC all pick B. Condorcet//Approval or Smith//Approval return a BE tie. (I am assuming implicit approval.) >because in all the pairwise elections, A has 49 > votes, and *all the other candidates* have 51 votes, because all the > other candidates' voters ranked A last by truncating. If truncating a candidate means you're counted in favor of any candidate above that candidate, then the only candidate who does not have >=51 of the votes against him is B. But I don't know what method you are using, which is counted in this way. It sounds like you're using Mike Ossipoff's "power truncation" option. > Eliminate A, > and C obviously has more votes than B. > > So exactly who would Mr. Venzke have win this election? Looks to me > like the electorate is (1) polarized very badly, and no election > method is going to produce really good results with such an > electorate, and (2) A majority of voters preferred "anybody but A." I disagree with (1) and (2). (1): Most serious methods satisfy the plurality criterion, according to which C and D cannot be elected. The only way to keep their supporters from regretting the way they voted is to "see past" the C and D preferences and elect B. (2): The 24 B>E voters didn't vote "anybody but A." They voted "anybody but A, C, or D." The A voters voted "anybody but B, C, D, or E." So it's also true that a majority of voters preferred "anybody but C" and "anybody but D." The only candidates of whom it cannot be said that a majority didn't vote "anybody but them" are B and E. > If it is not A, then who should it be? Obviously, C. No, B. Why do you prefer that C win? Kevin Venzke ___________________________________________________________________________ Appel audio GRATUIT partout dans le monde avec le nouveau Yahoo! Messenger Téléchargez cette version sur http://fr.messenger.yahoo.com ---- Election-methods mailing list - see http://electorama.com/em for list info