Woodall's method: Difference between revisions
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=== A few properties of Woodall === |
=== A few properties of Woodall === |
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Woodall meets the |
Woodall meets the [[mutual majority criterion]], and [[chicken dilemma criterion|has no chicken dilemma]]. Woodall meets the [[Condorcet criterion]], and the [[Smith set|Smith criterion]]. |
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dilemma. Woodall meets the Condorcet Criterion (CC), and the Smith Criterion. |
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Woodall doesn't meet [[FBC]]. |
Woodall doesn't meet [[FBC]]. Like all Condorcet methods, Woodall fails Consistency, Participation, Mono-Add-Top, and Mono-Add-Unique-Top. Woodall fails Mono-Raise, but passes Mono-Add-Plump and Mono-Append. |
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Consistency criteria: Woodall, like all Condorcet methods, fails Consistency, Participation, Mono-Add-Top, and Mono-Add-Unique-Top. Woodall fails Mono-Raise, but passes Mono-Add-Plump and Mono-Append. |
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Woodall's importance comes from its unmatched freedom from strategy-need, made possible by MMC, freedom from chicken dilemma, and CC. Advantages such as that come at a price. The above-mentioned combination of properties appears to be incompatible with FBC and with Mono-Raise, Participation, Mono-Add-Top and Mono-Add-Unique top. Choice of a voting system always involves choice among properties. |
Woodall's importance comes from its unmatched freedom from strategy-need, made possible by MMC, freedom from chicken dilemma, and CC. Advantages such as that come at a price. The above-mentioned combination of properties appears to be incompatible with FBC and with Mono-Raise, Participation, Mono-Add-Top and Mono-Add-Unique top. Choice of a voting system always involves choice among properties. |
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The consistency criteria don't have strategic importance. |
The consistency criteria don't have strategic importance. |
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Definition of MMC: |
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{{definition|A mutual majority (MM) is a set of voters comprising a majority of the voters, who all prefer some same set of candidates to all of the other candidates. That set of candidates is their MM-preferred set. |
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If a MM vote sincerely, then the winner should come from their MM-preferred set. |
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A voter votes sincerely if s/he doesn't vote an unfelt preference, or fail to vote a felt preference that the balloting system in use would have allowed hir to vote in addition to the preferences that she actually does vote. |
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To vote an unfelt preference is to vote X over Y if you prefer X to Y. |
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To vote an unfelt preference is to vote X over Y if you don't prefer X to Y.}} |
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===Consequences of Woodall's properties=== |
===Consequences of Woodall's properties=== |