[EM] Strategy-free criterion
Markus Schulze
markus.schulze8 at gmail.com
Thu Jun 13 08:20:06 PDT 2024
Hallo,
in 1997, I proposed the following version for the
strategy-free criterion:
*************************************************
"X >> Y" means, that a majority of the voters prefers
X to Y.
"There is a majority beat-path from X to Y," means,
that X >> Y or there is a set of candidates
C[1], ..., C[n] with X >> C[1] >> ... >> C[n] >> Y.
A method meets the "Generalized Majority
Criterion" (GMC) if and only if:
If there is a majority beat-path from A to B, but
no majority beat-path from B to A, then B must not
be elected.
*************************************************
See:
http://lists.electorama.com/pipermail/election-methods-electorama.com/1997-October/001570.html
Advantage of this version is that it is not necessary to
presume that there was a Condorcet winner when every
voter cast a complete ranking of all candidates.
Markus Schulze
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