Smith criterion: Difference between revisions
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Methods that do not comply with the Condorcet criterion, such as [[Approval voting]], [[Cardinal Ratings]], [[Borda count]], [[Plurality voting]], and [[Instant-Runoff Voting]], do not with the Generalized Condorcet Criterion.
== Multi-winner generalizations ==
Schulze has proposed a multi-winner generalization of the Smith criterion which can be roughly described as: "if for a group of candidates equal to or smaller than the number of winners, a certain number of them would win when only that certain number of any of them and enough of the other candidates face off such that there are always at most (one more than the number of winners) candidates running, and the same holds for any number smaller than the certain number, then at least that certain number of candidates from the group must be in every winner set in the Smith set, and the voting method must pick one of the Smith winner sets as the final winner set." <ref>https://arxiv.org/abs/1804.02973 p. 354</ref>
Note that this should be considered as only one of several conditions a voting methods should pass to be considered a Smith-efficient Condorcet PR method, since Bloc Score Voting passes it yet is not proportional or a Condorcet method.
[[Category:Voting system criteria]]
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