Schwartz Woodall: Difference between revisions
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#REDIRECT[[Woodall's method#Schwartz Woodall]] |
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'''Schwartz Woodall''' is a ranked voting method, a variation of [[Woodall's method]]. |
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== Definition == |
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{{definition|Do [[Instant-runoff voting|IRV]] until there remains un-eliminated only one member of the initial |
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[[Schwartz set]]. Elect hir.}} |
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There are two equivalent definitions of the Schwartz set: |
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X beats Y if more ballots rank X over Y than rank Y over X. |
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=== Beatpath definition === |
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{{definition|There is a beatpath from X to Y if either X beats Y, or X beats something that has a beatpath to Y. |
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X has a beatpath to Y if there is a beatpath from X to Y. |
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X is in the Schwartz set if there is no Y such that there is a |
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beatpath from Y to X, but not from X to Y.}} |
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=== Unbeaten set definition === |
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{{definition| |
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# An unbeaten set is a set of candidates none of whom are beaten by anyone outside that set. |
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# An innermost unbeaten set is an unbeaten set that doesn't contain a smaller unbeaten set. |
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# The Schwartz set is the set of candidates who are in innermost unbeaten sets.}} |
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[[Category:Single-winner voting methods]] |
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[[Category:Preferential voting methods]] |
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Latest revision as of 19:23, 20 March 2020
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