Markus: Please show me the arithmetic of determining the Kemeny outcome in your example, and explain why the higher score of 311 for ADBC is, apparently, better than 313 for DABC. Since we are measuring "distance" from unanimity, I thought the lower score would be the better.
SB >From: Markus Schulze <[EMAIL PROTECTED]> >To: election-methods-list <[EMAIL PROTECTED]> >Subject: RE: [EM] My Matrix for Kemeny's Rule, n=3 > >Dear SB, > >you wrote (2 Jan 2002): >> Now, is Kemeny's Rule, as defined by my matrix for 3 candidate >> tallies, the same as the Condorcet method which is described on >> the EM website <http://electionmethods.org/>? > >Nope! > >Example: > > A:B=52:48 > A:C=53:47 > A:D=49:51 > B:C=56:44 > B:D=45:55 > C:D=54:46 > > My beat path method chooses the ranking ADBC. However, the > Kemeny score of ADBC is only 311 while the Kemeny score of > DABC is 313. Or as Forest Simmons would say: "The beat path > method is not locally Kemeny optimal." > >Markus Schulze Steve Barney Richard M. Hare, 1919 - 2002, In Memoriam: <http://www.petersingerlinks.com/hare.htm>. Did you know there is an web site where, if you click on a button, the advertisers there will donate 2 1/2 cups of food to feed hungry people in places where there is a lot of starvation? See: <http://www.thehungersite.com>. ---- For more information about this list (subscribe, unsubscribe, FAQ, etc), please see http://www.eskimo.com/~robla/em
