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Plurality criterion: Difference between revisions
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<p><em>If the number of ballots ranking ''A'' as the first preference is greater than the number of ballots on which another candidate ''B'' is given any preference, then ''A''<nowiki>'</nowiki>s probability of election must be greater than ''B''<nowiki>'</nowiki>s.</em></p>
<h4 class=left>Complying Methods</h4>
<p>[[Plurality voting|First-Preference Plurality]], [[Approval voting]], [[IRV]], and many [[Condorcet method|Condorcet methods]] (using winning votes as defeat strength) satisfy the Plurality criterion. [[Condorcet method|Condorcet methods]] using margins as the measure of defeat strength fail it, as do [[Raynaud]] regardless of the measure of defeat strength, and also [[Minmax|Minmax(pairwise opposition)]].</p>
<h4 class=left>Commentary</h4>
It is difficult to imagine that a method could have a good reason to elect ''B'' over ''A'' when the voters giving ''B'' any ranking at all are outnumbered by the voters who ranked ''A'' as being the best candidate. The Plurality criterion is about avoiding such unintuitive results.
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