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]], and O(N²) [[summability]]. (It is also possible to run it in no more than 3 counting rounds, each of which is O(N) summable.)

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

* It fails O(N)the [[summabilitylater-no-help criterion]], but canpasses getif thatthere summabilityis withat two-passleast tallyingone (firstcandidate determinerejected who's disqualified,by thenunder retally)50%.

* It may passfails the majority[[consistency criterion]], the [[Condorcet loser criterion]], (?)[[reversibility]], the [[Strategy-free criterion]], and the [[later-no-harm criterion]].