[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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