User:BetterVotingAdvocacy/Big page of ideas: Difference between revisions
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Revision as of 23:44, 7 June 2020
, 4 years ago→Rated pairwise preference ballot
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=== Rated pairwise preference ballot ===
It is possible to treat every pairwise matchup as being a [[Score voting]] match-up where the voter can score both candidates on a scale. In this sense, the traditional pairwise preference idea of a voter giving one vote to their preferred candidate in a match-up is akin to them giving the max score to that candidate, and a min score to the other candidate. This may make it easier to think about the rated support and pairwise support that are both allowed with the [[rated pairwise preference ballot]].
Though the most important transitivity requirements for rated pairwise are likely the ones based on margins (if 1st choice is 4 points better than 2nd choice, then they must be at least 4 points better than 3rd choice, etc.), it's also possible to require transitivity of score for a candidate across matchups i.e. if 1st choice was a 3 against the 2nd choice's 2, they can't then become a 2 against 3rd choice, even if 3rd choice would be scored at 1 or lower (which preserves the minimum transitive margin of 3-2=1 point).
=== Connection between Condorcet, Smith set, and Asset ===
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