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Prefer Accept Reject voting: Difference between revisions
→Criteria compliance
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== 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
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 [[participation criterion]] but passes the [[semi-honest participation criterion]].
* It fails O(N) [[summability]], but can get that summability with two-pass tallying (first determine who's eliminated, then retally).
* It may pass the majority Condorcet loser criterion (?).
* It fails the [[later-no-help criterion]], but passes if there is at least one candidate above the elimination 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.
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