Approval Sorted Margins: Difference between revisions
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* Abby is the least-approved strong candidate and defeats Erin directly. So Abby is the MRAV winner. |
* Abby is the least-approved strong candidate and defeats Erin directly. So Abby is the MRAV winner. |
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== Satisfied Criteria == |
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Approval Sorted Margins satisfies the Condorcet Criterion, Monotonicity Criterion, Independence from Clones Criterion. The method is both symmetric and summable. |
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Approval Sorted Margins satisfies the following criteria: |
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# [[Mutual majority criterion]] |
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# [[Monotonicity criterion]] |
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# [[Pareto criterion]] |
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# [[Condorcet Criterion|Condorcet criterion]] |
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# [[Smith set|Smith criterion]] (a.k.a. [[Generalized Condorcet criterion]]) |
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# [[Independence of irrelevant alternatives|local independence from irrelevant alternatives]] |
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# [[Plurality criterion]] |
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# the winner is always chosen from the [[Immune set]] |
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# the winner is always chosen from the [[CDTT|CDTT set]] |
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# [[Minimal Defense criterion]] |
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# [[Strategy-Free criterion]] |
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# [[Generalized Strategy-Free criterion]] |
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# [[Strong Defensive Strategy criterion]] |
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# [[Weak Defensive Strategy criterion]] |
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# [[Summability criterion]] |
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# [[Strategic nomination|Independence of clones]] |
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# [[Neutrality of Spoiled Ballots]] |
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Approval Sorted Margins violates the following criteria: |
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# [[Participation criterion]] |
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# [[Consistency|Consistency criterion]] |
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# [[Tactical voting|invulnerability to compromising]] |
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# [[Tactical voting|invulnerability to burying]] |
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# [[Favorite Betrayal criterion]] |
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# [[Later-no-harm criterion]] |
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''(TODO: check and find examples)'' |
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