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{{Wikipedia|Smith criterion}}[[File:Finding_smith_set_ranking.png|thumb|513x513px|All of the candidates in 1st place (Andy, Brianna, Charles) are in the Smith set. See the [[Smith set ranking]] article for more information on this image.]]
Any election method that complies with the
== Complying Methods ==
Among methods that comply with the Condorcet winner criterion, [[Schulze method|Schulze]] and [[Ranked Pairs]] comply with the
Methods that do not comply with the Condorcet winner criterion, such as [[Approval voting]], [[Cardinal Ratings]], [[Borda count]], [[Plurality voting]], and [[Instant-Runoff Voting]], also do not comply with the
Any voting method can be made Smith-efficient by first eliminating everyone outside the Smith set and then running the voting method.
== 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 always win when up to that certain number of any of them and enough of the candidates not in the group 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.
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