Condorcet method: Difference between revisions
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== Notes ==
All Condorcet methods pass the [[Mutual majority criterion|mutual majority criterion]] when there is a Condorcet winner. This is because the CW is guaranteed to be a member of any set of candidates that can pairwise beat all candidates not in the set, and the mutual majority set is such a set, because all candidates in it are ranked by a majority over all candidates not in the set. [[Smith-efficient]] Condorcet methods always pass the [[Mutual majority criterion|mutual majority criterion]].
Most Condorcet methods allow for equal-ranking. Because of this, it is possible to vote [[Approval voting]]-style. In fact, if all voters vote Approval-style, the Smith set will only have candidates who pairwise tie, rather than who have [[Condorcet cycle|Condorcet cycles]].
It is common terminology for Condorcet methods that start by electing the Condorcet winner if there is one, but otherwise run some other voting method, to be named as "Condorcet//voting method". For example, [[Condorcet//Score]]. The Condorcet methods that start by eliminating all candidates not in a given set of candidates and then running some other voting method are named as "Given set//voting method" (sometimes with only one "/"). For example, [[Smith//IRV]] is [[IRV]] run on the [[Smith set]].
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