Two-round system: Difference between revisions
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== Notes ==
The runoff voting rule satisfies a weak form of the [[Dominant mutual third|dominant mutual third]] property, and thus a weak form of the [[Mutual majority criterion|mutual majority criterion]]: if over 1/3rd of voters vote for a candidate that [[Pairwise beat|pairwise beats]] all candidates not in a certain set of candidates most-preferred by the 1/3rd of voters (because they are a [[Solid coalition|solid coalition]]), then someone from that set of candidates (i.e. the one that gets over 1/3rd of the votes) will win in the runoff. <ref>{{Cite web|url=https://www.semanticscholar.org/paper/Weak-Mutual-Majority-Criterion-for-Voting-Rules-Kondrat’ev-Nesterov/2c934e191ef52b9f2fb16d81046cfe86b3f9d36e|title=Weak Mutual Majority Criterion for Voting Rules|last=|first=|date=|website=|url-status=live|archive-url=|archive-date=|access-date=}}</ref> [[IRV]] satisfies a stronger version of the property.
Sometimes Top Two Runoff (TTR) is also used as the name of an automatic one-round variation, which works by having voters rank the candidates, finding the two candidates ranked 1st by the most voters, and then using the rankings to figure out which of the two is preferred by a majority and electing that one. This method is more properly called the [[contingent vote]].
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