Condorcet loser criterion: Difference between revisions
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In single-winner [[voting system]] theory, the '''Condorcet loser criterion''' is a measure for differentiating voting systems. It implies the [[majority loser criterion]].
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{{Main|Ranked pairs}}
Ranked pairs work by "locking in" strong victories, starting with the strongest, unless that would contradict an earlier lock.
Assume that the Condorcet loser is X. For X to win, ranked pairs must lock a preference of X over some other candidate Y (for at least one Y) before it locks Y over X. But since X is the Condorcet loser, the victory of Y over X will be greater than that of X over Y, and therefore Y over X will be locked first, no matter what other candidate Y is. Therefore, X cannot win.
== See also ==
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