Condorcet winner criterion: Difference between revisions

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The '''Condorcet candidate''' or '''Condorcet winner''' 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 Condorcet winner will be at the position of the median voter. Mainly because of Condorcet's [[voting paradox]], a Condorcet winner will not always exist in a given set of votes.
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 pairwise champion will be at the position of the median voter. Mainly because of Condorcet's [[voting paradox]], a pairwise champion 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 Condorcet winner when one exists. Any method conforming to the Condorcet criterion is known as a [[Condorcet method]].
The '''Condorcet criterion''' for a [[voting system]] is that it chooses the pairwise champion when one exists. Any method conforming to the Condorcet criterion is known as a [[Condorcet method]].


==Complying methods==
==Complying methods==