Smith set: Difference between revisions

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The Smith Set is always a subset of the [[Mutual majority criterion|mutual majority]]-preferred set of candidates, when one exists.
 
There is always a [[Smith set ranking]] of the candidates which reveals which groups of candidate pairwise beat each other. It reduces to the [[Condorcet ranking]] when one exists.
 
 
If the Smith set contains more than one candidate, this is due to majority cycles such as in [[Condorcet's paradox]], or to pairwise ties.