Draft:Cloaked Participation: Difference between revisions
m (RobLa moved page Cloaked Participation to Draft:Cloaked Participation: This seems to be created by a user before the Miraheze migration (in 2018) and that person hasn't signed up, and it's 2022 now. Getting it out of the main namespace.) |
(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}} |
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The '''Plurality-Cloaked Participation Criterion (PCPC)''' states that |
The '''Plurality-Cloaked Participation Criterion (PCPC)''' states that |
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<blockquote>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.</blockquote> |
<blockquote>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. -- [[User:RobLa|RobLa]] ([[User talk:RobLa|talk]]) 06:16, 26 March 2022 (UTC)</blockquote> |
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The '''Approval-Cloaked Participation Criterion (ACPC)''' is a stronger requirement which states that |
The '''Approval-Cloaked Participation Criterion (ACPC)''' is a stronger requirement which states that |
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Latest revision as of 06:17, 26 March 2022
 | 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. -- RobLa (talk) 06:16, 26 March 2022 (UTC)
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.
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 but pass either ACPC or PCPC.
Methods that fail both ACPC and PCPC: IRV, Runoff voting in general, Bucklin, the Schulze method.
Example for IRV failing PCPC:
49 Z 26 Y 25 X>Y
Y wins.
Now add 3 voters bullet-voting for X.
49 Z 26 Y 25 X>Y 3 X
Z wins. The added voters who bullet-voted for X changed the winner without changing it to X.
Example for Bucklin failing PCPC:
49 Z 51 Y>Z
Y wins.
Now add 10 voters plumbing for X.
49 Z 51 Y>Z 10 X
Z wins. The added voters who bullet-voted for X changed the winner without changing it to X.