[EM] question about Schulze example (A,B,M1,M2)

capologist capologist at cox.net
Thu Oct 27 20:46:04 PDT 2011


I recently conducted a vote under the Schwartz method. It produced a result that is counterintuitive and that I don’t know how to justify.

Here’s a simplified version of the scenario:

   5x  A > M1 = M2 > B
   3x  B > A > M1 = M2
   2x  M1 = M2 > B > A
   2x  M1 > M2 > B > A

The partial ordering produced by the Schulze method has A beating everybody else, B losing to everybody else, and M1 and M2 “tied” in the middle:



The question regards the clone pair (M1, M2). Why shouldn’t M1 be a winner over M2? Nobody would object to that. Some voters would prefer it, and the rest don’t care one way or the other.  

I don’t know how to explain to the voters who prefer M1 over M2 why their preference shouldn’t be reflected in the results when nobody disagrees with it.
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