Prefer Accept Reject voting: Difference between revisions

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== Criteria compliance ==

PAR voting passes ~~the [[favorite betrayal criterion]],~~ 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]], and the [[later-no-help criterion]].

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]], and the [[later-no-help criterion]].

There are a few criteria for which it does not pass as such, but where it passes related but weaker criteria. These include:

* It fails the [[favorite betrayal criterion]], but in any scenario where it fails that for some small group, there is a rational strategy for some superset of that group which does not involve betrayal. (Also, the cases of such failure would arguably be quite rare in practice.)

* It fails [[Independence of irrelevant alternatives]], but passes [[Local independence of irrelevant alternatives]].