Plurality criterion: Difference between revisions

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<h4 class=left>=Statement of Criterion</h4>criterion==
 
<p><em>{{Definition|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 ''B'' must not be elected.</em></p>}}
 
<h4 class=left>=Complying Methods</h4>methods==
 
<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 does [[Raynaud]] (using either winning votes or margins as the measure of defeat strength), and also [[Minmax|Minmax(pairwise opposition)]]. </p><h4 class=left>Commentary</h4>
 
==Commentary==
 
When the Plurality criterion requires that ''B'' not be elected, it means that even if all the voters who gave ''B some'' ranking were to elevate him to the top position, he would still not be the [[Plurality voting|First Preference Plurality]] winner.
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B is preferred on 2 ballots, while A is preferred 1st on 3 ballots. However, Score voting passes a related criterion: "If the number of ballots giving A maximal support is greater than the number of ballots on which another candidate B is given any support, then B must not be elected." This is because candidate B can't get more points than A, since even if all voters who score B give B the maximum score, candidate A will have more ballots giving them the maximum score than B, and thus more points.
 
[[Category:Voting system criteria]]
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