Prefer Accept Reject voting: Difference between revisions

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]].

* It fails the [[Condorcet criterion]], but for any set of voters such that an honest majority Condorcet winner exists, there always exists a strong equilibrium set of strictly semi-honest ballots that elects that CW. (Note that this is not true for any strictly-ranked Condorcet system!)

* It fails O(N) [[summability]], but can get that summability with two-pass tallying (first determine who's disqualified, 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 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 [[Strategy-free criterion]], and the [[later-no-harm criterion|later-no-harm]] criterion.