Participation criterion: Difference between revisions
Add references, link to weighted positional method article
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This criterion is important in the context of the [[Balinski–Young theorem]]. Failing the participation criterion is an an example of failing [[Population monotonicity]].
Every [[weighted positional method]] that gives higher ranked candidates higher scores passes the participation criterion. In particular, [[Plurality voting]] and the [[Borda count]] both pass. Furthermore, [[Approval voting]], [[Cardinal Ratings]], and Woodall's [[Descending Acquiescing Coalitions|DAC]] and [[Descending Solid Coalitions|DSC]] methods all pass the participation criterion. All [[Condorcet method]]s,<ref name=":0">{{Cite journal|last=Moulin|first=Hervé|date=1988-06-01|title=Condorcet's principle implies the no show paradox|journal=Journal of Economic Theory|volume=45|issue=1|pages=53–64|doi=10.1016/0022-0531(88)90253-0}}</ref><ref>{{cite web|url=http://rangevoting.org/CondPF.html|title=Participation failure" is forced in Condorcet methods with at least 4 candidates|accessdate=2014-12-24}}</ref> [[Bucklin voting]],<ref>{{cite web|url=http://lists.electorama.com/pipermail/election-methods-electorama.com/1998-June/001727.html|title=Regretted Turnout. Insincere = ranking.|author=Markus Schulze|accessdate=2011-05-14|date=1998-06-12}}</ref> and [[instant-runoff voting|IRV]]<ref name="WDSParticipationReversalSymmetry">{{cite web|author=Warren D. Smith|url=http://rangevoting.org/TBlecture.html#partic|title=Lecture "Mathematics and Democracy"|accessdate=2011-05-12}}</ref> fail.
All Monroe type multi-member systems fail participation.
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