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Beat-the-plurality-winner method: Difference between revisions

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Beat-the-plurality-winner method (view source)

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(what BPW stands for; updated info on generalization)
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'''BPWBeat the Plurality Winner''' (foror "'''Beat the Plurality WinnerBPW'''") is a [[Condorcet completion method]] invented and studied by [[Eivind Stensholt]] as an attempt to reduce burial incentive.<ref>{{cite journal | last=Stensholt | first=Eivind | title=Condorcet Methods - When, Why and How? | journal=SSRN Electronic Journal | publisher=Elsevier BV | year=2008 | issn=1556-5068 | doi=10.2139/ssrn.1145304}}</ref> It is mainly described for the case of three candidates. In the absence of a CW[[Condorcet winner]], one elects the candidate who defeats the [[FPPfirst-past-the-post]] winner pairwise.
 
== Notes ==
Stensholt suggests defining BPWthe "Beat the Plurality Winner" for more than three candidates by reducing to the Smith set and conducting the basic method on each possible set of three candidates, awarding a point to the BPW winner of each set, so that the overall winner is the one who wins the greatest number of these contests.
 
Kevin Venzke suggests generalizing the method using a modification of the chain climbing mechanism of e.g. [[TACC]]. Initialize an empty set. Consider each candidate in order of descending first preference count. When a candidate pairwise defeats all (if any) candidates currently in the set, then add them to the set. The last candidate who can be added to the set is elected. This agrees with BPW in the three-candidate case since, in the absence of pairwise ties, the winner is always either the Condorcet winner or the candidate of the cycle who pairwise beats the first preference count winner.
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