Mono-add-top criterion: Difference between revisions
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Woodall has shown that it is impossible for a method to satisfy all three of [[Condorcet criterion|Condorcet]], the [[Plurality criterion]], and Mono-add-top. It is not known whether Mono-add-top is compatible with [[Smith set|Smith]]. |
Woodall has shown that it is impossible for a method to satisfy all three of [[Condorcet criterion|Condorcet]], the [[Plurality criterion]], and Mono-add-top. It is not known whether Mono-add-top is compatible with [[Smith set|Smith]]. |
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[[Category:Voting system criteria]] |
[[Category:Voting system criteria]] |
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Revision as of 19:35, 14 August 2019
Mono-add-top is a relative criterion which requires that if candidate X is the winner of the election, then adding additional ballots which rank X strictly above all other candidates must not reduce the probability that the winner is still X.
The name "Mono-add-top" was invented by Douglas Woodall.
Any method which satisfies the Participation criterion also satisfies Mono-add-top.
Woodall has shown that it is impossible for a method to satisfy all three of Condorcet, the Plurality criterion, and Mono-add-top. It is not known whether Mono-add-top is compatible with Smith.
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