Woodall's method: Difference between revisions

Whew! This article needs some love. Added a cleanup tag to that extent and rewrote the intro sentence.
(Remove mutual majority criterion definition as it has its own page.)
(Whew! This article needs some love. Added a cleanup tag to that extent and rewrote the intro sentence.)
 
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{{cleanup|reason=Needs substantial rewriting, reformatting, and inclusion of properties it passes and fails.}}
Definitions and important properties of '''Woodall's Method''' and a similar method:
 
'''Woodall's method''' or '''Smith,IRV''' is a voting method that combines [[instant-runoff voting]] and [[Condorcet]]. It was invented by [[Douglas Woodall]].
 
== Woodall's method: ==
{{definition|Do IRV till only one member of the initial Smiths[[Smith set]] remains un-eliminated. Elect hir.}}
Smith set:
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{{definition|Do IRV till only one member of the initial [[Schwartz set]] remains un-eliminated. Elect hir.}}
 
== Notes ==
[[Benham's method]] is similar, but always terminates in the same round as Woodall's or earlier. This is because the two methods are identical to [[IRV]] until their algorithms' completion, but Benham's method can potentially terminate in a round where there are still multiple members of the Smith set remaining i.e. a member of the Smith set whose only pairwise loss or tie is to one of the other candidates in the Smith set would become a [[CW]] if that other candidate is eliminated, and be the Benham winner.
 
==References==
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