Prefer Accept Reject voting: Difference between revisions

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imported>Homunq
imported>Homunq
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== Criteria compliance ==
== Criteria compliance ==


PAR voting passes the [[majority criterion]], the [[mutual majority criterion]], [[Local independence of irrelevant alternatives]] (under the assumption of fixed "honest" ratings for each voter for each candidate), [[Independence of clone alternatives]], [[Monotonicity]], [[polytime]], [[resolvability]].
PAR voting passes the [[majority criterion]], the [[mutual majority criterion]], the [[majority loser criterion]], [[Local independence of irrelevant alternatives]] (under the assumption of fixed "honest" ratings for each voter for each candidate), [[Independence of clone alternatives]], [[Monotonicity]], [[polytime]], [[resolvability]].


There are a few criteria for which it does not pass as such, but where it passes related but weaker criteria. These include:
There are a few criteria for which it does not pass as such, but where it passes related but weaker criteria. These include:
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* It fails the [[later-no-help criterion]], but passes if there is at least one candidate above the qualification thresholds (which is always true, for instance, if there are some three candidates who get 3 different ratings on every ballot).
* It fails the [[later-no-help criterion]], but passes if there is at least one candidate above the qualification thresholds (which is always true, for instance, if there are some three candidates who get 3 different ratings on every ballot).


It fails the [[consistency criterion]], the [[Condorcet loser criterion]], [[reversibility]], the [[majority loser criterion]], the [[Strategy-free criterion]], and the [[later-no-harm criterion|later-no-harm]] and [[later-no-help criterion|later-no-help]] criteria.
It fails the [[consistency criterion]], the [[Condorcet loser criterion]], [[reversibility]], the [[Strategy-free criterion]], and the [[later-no-harm criterion|later-no-harm]] criterion.


=== Favorite betrayal? ===
=== Favorite betrayal? ===