Condorcet winner criterion: Difference between revisions

The '''Condorcet candidate''', '''Pairwise Champion''' (PC), or '''Condorcet winner''' (CW) of an [[election]] is the candidate who, when compared in turn with each of the other candidates, is preferred over the other candidate. On a one-dimensional [[political spectrum]], the Condorcetpairwise winnerchampion will be at the position of the median voter. Mainly because of Condorcet's [[voting paradox]], a Condorcetpairwise winnerchampion will not always exist in a given set of votes. If the pairwise champion exists, they will be the only candidate in the [[Smith set]]; otherwise, the Smith set will have three or more members.

The '''Condorcet criterion''' for a [[voting system]] is that it chooses the Condorcetpairwise winnerchampion when one exists. Any method conforming to the Condorcet criterion is known as a [[Condorcet method]].