I KNOW most pairwise methods elect A in this example. But pairwise A loses to C by a majority, so why do the methods elect A?
> -----Original Message----- > From: [EMAIL PROTECTED] > [mailto:[EMAIL PROTECTED] > ] On Behalf Of Steve Eppley > Sent: Wednesday, October 06, 2004 3:46 PM > To: [EMAIL PROTECTED] > Subject: RE: [EM] Does MAM use the Copeland method? > > Hi, > > Paul K wrote: > > Any argument that begins with "perhaps they..." is a > speculation, not > > an argument. From the ballots, 55.555556 percent of the voters > > preferred a candidate that was not elected. > > But that's what I'd pointed out: All we know is that they > _preferred_ a defeated candidate. Paul had claimed they were > also _unhappy_ and I gave a reason why they might not be > unhappy. The burden is on Paul to explain why he claimed > they'd be unhappy. > > I prefer Milky Way candy bars over Three Musketeers, but it > won't make me unhappy to be given a Three Musketeers bar. > > In a separate message, Paul also wrote: > > For the same set of ballots, pairwise comparisons result in a > > different winner based upon which voting method is > employed. So which > > one you use is an article of faith, not reason. > > Most pairwise methods elect A in that example. Copeland is > the only pairwise method I know that doesn't, and it returns > a 3-way tie. Copeland//Plurality, the method advocated by > Bruce Anderson--the only member of this list who, to my > knowledge, ever advocated any variation of Copeland--also elects A. > > Assuming Paul had his argument straight, that is, if he'd > cited an example where good pairwise methods do pick > different winners, his conclusion that which one of these > methods to use is an article of faith rather than reason > makes some sense to me, given that we cannot empirically > determine which method is best. We can only make educated > guesses based on speculative arguments, and see which of > these arguments resonates with enough people to convince them > to give the method a try. > > In yet another message, Paul called it the Borda method to > use graded ballots such as A+, A, A-, B+, etc. He's made so > many odd claims today, I must request he send me some of > whatever he's been imbibing. > > --Steve > > ---- > Election-methods mailing list - see http://electorama.com/em > for list info > ---- Election-methods mailing list - see http://electorama.com/em for list info