[EM] Ranked Pairs Description

Markus Schulze markus.schulze at alumni.tu-berlin.de
Fri Dec 26 12:03:55 PST 2003


Dear Eric,

suppose that there are 4 candidates and that all pairwise
defeats A > B, B > C, C > D, D > A, B > D, and C > A have the
same strength. Then all 4 candidates are potential winners.

However, suppose that some voters rank candidate A higher so
that the pairwise defeats A > B, B > C, C > D, D > A, and B > D
still have the same strength and C > A is weaker than the other
pairwise defeats. Then you would reject A > B, B > C, C > D,
D > A, and B > D and keep C > A so that ranking candidate A
higher hurts him.

Markus Schulze



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