Defeat strength: Difference between revisions
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[[Condorcet methods]] require the resolution of [[cycles]]. Typically, this is done by ignoring "weak" pairwise defeats in favor of "strong" ones. The metric used to distinguish these is called '''defeat strength'''. |
[[Condorcet methods]] require the resolution of [[cycles]]. Typically, this is done by ignoring "weak" pairwise defeats in favor of "strong" ones. The metric used to distinguish these is called '''defeat strength'''. |
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The most common measures of defeat strength for a pairwise winner W over a pairwise loser L include: |
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* '''winning votes''': Defeat strength = votes for W>L |
* '''winning votes''': Defeat strength = votes for W>L |
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* '''margins''': Defeat strength = (votes for W>L) - (votes for L>W) |
* '''margins''': Defeat strength = (votes for W>L) - (votes for L>W) |
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* '''relative margins''': Defeat strength = margin ÷ (votes for W≠L) |
* '''relative margins''': Defeat strength = margin ÷ (votes for W≠L) |
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Less common measures: |
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====== Approval opposition ====== |
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'''Approval opposition''' or '''AO''' is a measure of defeat strength for [[Condorcet method|Condorcet methods]]. It is equivalent to using [[Cardinal pairwise|approval-weighted pairwise]]. |
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[[Category:Voting theory metrics]] |
[[Category:Voting theory metrics]] |
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