Schwartz Woodall: Difference between revisions

From electowiki
Content added Content deleted
VisualWikitext
(add definition template)
(Redirected page to Woodall's method#Schwartz Woodall)
Tag: New redirect
 
Line 1:
{{Merge to|#REDIRECT[[Woodall's method|date=August#Schwartz 2019}}Woodall]]
 
'''Schwartz Woodall''' is a ranked voting method, a variation of [[Woodall's method]].
 
== Definition ==
{{definition|Do [[Instant-runoff voting|IRV]] until there remains un-eliminated only one member of the initial
[[Schwartz set]]. Elect hir.}}
There are two equivalent definitions of the Schwartz set:
X beats Y if more ballots rank X over Y than rank Y over X.
 
=== Beatpath definition ===
{{definition|There is a beatpath from X to Y if either X beats Y, or X beats something that has a beatpath to Y.
X has a beatpath to Y if there is a beatpath from X to Y.
X is in the Schwartz set if there is no Y such that there is a
beatpath from Y to X, but not from X to Y.}}
 
=== Unbeaten set definition ===
{{definition|
# An unbeaten set is a set of candidates none of whom are beaten by anyone outside that set.
# An innermost unbeaten set is an unbeaten set that doesn't contain a smaller unbeaten set.
# The Schwartz set is the set of candidates who are in innermost unbeaten sets.}}
 
[[Category:Single-winner voting methods]]
[[Category:Preferential voting methods]]

Latest revision as of 19:23, 20 March 2020

Redirect to:

Retrieved from "https://electowiki.org/wiki/Schwartz_Woodall?oldid=9083"