Condorcet method: Difference between revisions

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(Explained two quick ways to find the CW from the pairwise matrix.)
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== Simple explanation ==
 
If one candidate is preferred by a majority over all other candidates in head-to-head contests, that candidate is the [[Condorcet Criterion|Condorcet Winner]]. This can be determined through use of ranked or rated ballots. In rare occasions, ano groupone of candidatescandidate is preferred by aeven majorityhalf over all other candidates one-on-one, but no one candidate inof the group is preferred by a majorityvoters over all of the other candidates in theone-on-one groupcontests. In that case it is necessary to use some tiebreaking procedure.
 
== Casting ballots ==
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== Variants ==
 
Condorcet methods can be modified to allow a voter to give a fraction of a vote, rather thaonlythan eitheronly neither no vote or a whole vote, to a candidate in a pairwise matmatch chupThisup. This is akin to the fractional support that can be given in cardinal methods that allow more than 2 distinctions, such as [[Score Voting]]. . This is most easily accomplished by allowing voters to equally rank candidates, and also rate each of them, so that if, say, Candidates A and B are equally ranked, and A is rated a 10/10 and B a 4/10, then (10-4)/10 = 60% or 0.6 of a vote goes to A in the A vs. B match-up. Both A and B would each get one vote as usual against all candidates they are ranked above.
== Use of Condorcet voting ==