Smith criterion: Difference between revisions
→Complying Methods
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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.
Any voting method can be made Smith-efficient by first eliminating everyone outside the Smith set and then running the voting method. An even better approach from the perspective of the Smith set is to eliminate everyone outside the Smith set, then among the remaining candidates, eliminate the candidate the voting method considers worst, and repeat. An example of a difference would be if the Smith set had 7 candidates; both approaches would eliminate all but the 7. The second approach would eliminate one of the 7, at which point there may be 3 candidates who form the new Smith set (when looking only at the uneliminated candidates), and the second approach would continue until it elected one of these 3. The first approach might end up electing someone not in the 3, however. An example of the first approach is [[Smith//IRV]], while an example of the second approach is the Smith-defined version of [[Benham's method]].
== Multi-winner generalizations ==
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