Schwartz Woodall: Difference between revisions
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#REDIRECT[[Woodall's method#Schwartz Woodall]] |
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'''Definition of Schwartz Woodall:''' |
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Do IRV till there remains un-eliminated only one member of the initial |
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Schwartz set. Elect hir. |
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[end of Schwartz Woodall definition] |
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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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The beatpath definition of the Schwartz set: |
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There is a beatpath from X to Y if either X beats Y, or X beats |
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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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[end of beatpath definition of the Schwartz set] |
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The unbeaten set definition of the Schwartz set: |
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1. An unbeaten set is a set of candidates none of whom are beaten by |
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anyone outside that set. |
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2. An innermost unbeaten set is an unbeaten set that doesn't contain a |
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smaller unbeaten set. |
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3. The Schwartz set is the set of candidates who are in innermost unbeaten sets. |
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[end of unbeaten set definition of the Schwartz set] |
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For more information, go to the [[Woodall's method]] article. |
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Click here to Reply or Forward |
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Latest revision as of 19:23, 20 March 2020
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