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Draft:Cloaked Participation: Difference between revisions
Noting that this was created in 2009 by User:R.H., and none of the experts that cared to comment on 2022 believed this was an important criterion. Comment on the Draft_talk:Cloaked Participation page if you believe this is a useful criterion
imported>R.H. (Created page with 'The '''Plurality-Cloaked Participation Criterion (PCPC)''' states that ''adding a ballot that bullet-votes for only X should neither decrease the winning probability of X, nor ch…') |
(Noting that this was created in 2009 by User:R.H., and none of the experts that cared to comment on 2022 believed this was an important criterion. Comment on the Draft_talk:Cloaked Participation page if you believe this is a useful criterion) |
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{{ambox|text=This was created in 2009 by [[User:R.H.]], and none of the experts that cared to comment on 2022 believed this was an important criterion. Comment on the [[Draft_talk:Cloaked Participation]] page if you believe this is a useful criterion}}
The '''Plurality-Cloaked Participation Criterion (PCPC)''' states that ''adding a ballot that bullet-votes for only X should neither decrease the winning probability of X, nor change the winning probabilities among the other candidates relative to each other. A method that does not allow bullet-voting for only one candidate is considered failing the criterion.''▼
The '''Plurality-Cloaked Participation Criterion (PCPC)''' states that
The '''Approval-Cloaked Participation Criterion (ACPC)''' is a stronger requirement which states that ''adding a ballot that votes a set S of candidates equal-top and all candidates outside that set equal-bottom should neither decrease the winning probability of any candidate in S, nor change the winning probabilites among the candidates in set S relative to each other, nor change the winning probabilities among the candidates outside of S relative to each other. A method that does not allow voting by putting one or several candidates in the first rank and all other candidates in the last rank is considered failing the criterion.'' Satisfying ACPC implies satisfying PCPC.▼
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The '''Approval-Cloaked Participation Criterion (ACPC)''' is a stronger requirement which states that
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Satisfying ACPC implies satisfying PCPC.
Satisfying ACPC does not imply compliance with the Participation Criterion but protection for semi-honest voters (those who compress their true preferences) against the No-Show Paradox.
Everything that passes the [[participation criterion]] pass these criteria. It is not known if there exist any methods that don't pass [[participation criterion|participation]] but pass either ACPC or PCPC.
Methods that fail both ACPC and PCPC: [[Instant-runoff voting|IRV]], [[Runoff voting]] in general, [[Bucklin voting|Bucklin]], the [[Schulze method]].
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Z wins. The added voters who bullet-voted for X changed the winner without changing it to X.
[[Category:Voting system criteria]]
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