Talk:Bottom-Two-Runoff IRV: Difference between revisions
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(→Rename to "Bottom-two-runoff-instant-runoff-voting method": - Are you suggesting other names, User:AmericaRepair? Why? -- ~~~~) |
(Giving a title ("#Proof") to User:BetterVotingAdvocacy's 2020 comment.) |
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== Proof == |
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I just proved something rather interesting about BTR-IRV: candidates need only be eliminated until there is a Condorcet winner, at which point that candidate is the winner. So for example, with 4 candidates and a Smith set of 3 with no pairwise ties, if BTR-IRV eliminates one of the Smith set candidates first, then one of the remaining Smith set candidates will pairwise beat all other candidates, and thus can't be eliminated at any point, so you can just declare that candidate the winner without doing further individual matchups. [[User:BetterVotingAdvocacy|BetterVotingAdvocacy]] ([[User talk:BetterVotingAdvocacy|talk]]) 21:45, 27 February 2020 (UTC) |
I just proved something rather interesting about BTR-IRV: candidates need only be eliminated until there is a Condorcet winner, at which point that candidate is the winner. So for example, with 4 candidates and a Smith set of 3 with no pairwise ties, if BTR-IRV eliminates one of the Smith set candidates first, then one of the remaining Smith set candidates will pairwise beat all other candidates, and thus can't be eliminated at any point, so you can just declare that candidate the winner without doing further individual matchups. [[User:BetterVotingAdvocacy|BetterVotingAdvocacy]] ([[User talk:BetterVotingAdvocacy|talk]]) 21:45, 27 February 2020 (UTC) |
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