Approval Sorted Margins: Difference between revisions

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(Move most of Marginal Ranked Approval Voting into this page)
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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.


== Properties ==
== Satisfied Criteria ==

Approval Sorted Margins satisfies the Condorcet Criterion, Monotonicity Criterion, Independence from Clones Criterion. The method is both symmetric and summable.
Approval Sorted Margins satisfies the following criteria:

# [[Mutual majority criterion]]
# [[Monotonicity criterion]]
# [[Pareto criterion]]
# [[Condorcet Criterion|Condorcet criterion]]
# [[Smith set|Smith criterion]] (a.k.a. [[Generalized Condorcet criterion]])
# [[Independence of irrelevant alternatives|local independence from irrelevant alternatives]]
# [[Plurality criterion]]
# the winner is always chosen from the [[Immune set]]
# the winner is always chosen from the [[CDTT|CDTT set]]
# [[Minimal Defense criterion]]
# [[Strategy-Free criterion]]
# [[Generalized Strategy-Free criterion]]
# [[Strong Defensive Strategy criterion]]
# [[Weak Defensive Strategy criterion]]
# [[Summability criterion]]
# [[Strategic nomination|Independence of clones]]
# [[Neutrality of Spoiled Ballots]]

Approval Sorted Margins violates the following criteria:

# [[Participation criterion]]
# [[Consistency|Consistency criterion]]
# [[Tactical voting|invulnerability to compromising]]
# [[Tactical voting|invulnerability to burying]]
# [[Favorite Betrayal criterion]]
# [[Later-no-harm criterion]]

''(TODO: check and find examples)''


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