Draft:Cloaked Participation: Difference between revisions

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(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…')
 
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The '''Plurality-Cloaked Participation Criterion (PCPC)''' states that
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 '''Approval-Cloaked Participation Criterion (ACPC)''' is a stronger requirement which states that ''adding<blockquote>Adding a ballot that bullet-votes afor setonly S of candidates equal-top and all candidates outside that set equal-bottomX should neither decrease the winning probability of any candidate in SX, nor change the winning probabilitesprobabilities 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 bullet-voting byfor puttingonly one or several candidates in the first rank and all other candidates in the last rankcandidate is considered failing the criterion.'' Satisfying ACPC implies satisfying PCPC.</blockquote>
 
The '''Approval-Cloaked Participation Criterion (ACPC)''' is a stronger requirement which states that
 
<blockquote>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.</blockquote>
 
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.
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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]]