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Smith set
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=== Other criteria === Any election method that complies with the Smith criterion also complies with the [[Condorcet criterion|Condorcet winner criterion]], since if there is a Condorcet winner, then it is the only candidate in the Smith set. Smith methods also comply with the [[Condorcet loser criterion]], because a Condorcet loser will never fall in the Smith set. It also implies the [[mutual majority criterion]], since the Smith set is a subset of the MMC set.<ref name="Brandt" /> Conversely, any method that fails any of those three majoritarian criteria (Mutual majority, Condorcet loser or Condorcet winner) will also fail the Smith criterion.
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