Two-round system: Difference between revisions

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 name="Kondratev Nesterov 2017">{{Citecite journal web| last=Kondratev | first=Aleksei Y. | last2=Nesterov | first2=Alexander S. | title=Weak Mutual Majority Criterion for Voting Rules | journal=IEEE Communications Standards Magazine | date=2018 | url=https://www.semanticscholar.org/paper/Weak-Mutual-Majority-Criterion-for-Voting-Rules-Kondrat’evKondratev-Nesterov/2c934e191ef52b9f2fb16d81046cfe86b3f9d36e|title=Weak Mutual Majority Criterion for Voting Rules|last=|first=|date=|website=|url-status=live|archive-url=|archive-date=| access-date=2022-02-27}}</ref> [[IRVInstant-runoff voting]] satisfies a stronger version of the property.