[EM] My Matrix for Kemeny's Rule, n=3

[Markus Schulze]

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

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