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Prefer Accept Reject voting: Difference between revisions
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# Candidates with a majority of Reject, or with under 25% Prefer, are eliminated, unless that would eliminate all candidates.
# The winner is the non-eliminated candidate with the highest score, counting 1 point for each voter who prefers a candidate, and 1 point for each voter who accepts a candidate while preferring only eliminated candidates.
Note that the 25%-preferred threshold in step 2 is exactly enough so that, in a 3-way election where all voters preferred at least 1 candidate and rejected at least 1 candidate, there will always be at least 1 candidate who passes the thresholds to not be eliminated. This does not hold for an election with 4 or more candidates; but hopefully, even in those cases, the top 3 candidates combined will usually get enough preferences to ensure that at least one of them is above the thresholds.
== Relationship to NOTA ==
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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.) Also, in a 3-way election where all voters preferred at least 1 candidate and rejected at least 1 candidate, there is never a favorite-betrayal incentive unless there's a Condorcet cycle. (This holds even if you add weak also-ran candidates to such an election, because of the following property.)
* It fails [[Independence of irrelevant alternatives]], but passes [[Local independence of irrelevant alternatives]].
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