Majority: Difference between revisions

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== Notes ==

[[ISDA]] implies several of the criteria mentioned above. When there is a [[Mutual majority criterion|mutual majority]] and a minority with a preference among the mutual majority's preferred candidates, the ISDA-based reasoning for deciding who to elect can be thought of as eliminating everyone not in the mutual majority, checking if there is a new mutual majority set, and then repeating. Taking the above example:

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== [[ISDA]] implies several of the criteria mentioned above. When there is a mutual majority and a minority with a preference among the mutual majority's preferred candidates, the ISDA-based reasoning for deciding who to elect is to ~~eliminate~~ everyone not in the mutual majority, ~~check~~ if there is a new mutual majority set, and then ~~repeat~~. Taking the above example ==

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: 31 A > B > C

: 29 B > C > A

:29 B > C > A

: 40 C > B > A

== There is a mutual majority of 69% of voters for B and C, so by ISDA, A can be eliminated. Then, ~~there is a majority who put B as their 1st choice, and because ISDA implies~~ the ~~majority~~ ~~criterion,~~ B ~~wins.~~ ==

There is a mutual majority of 69% of voters for B and C, so by ISDA, A can be eliminated. Then, the example becomes:<blockquote>60 B > C

40 C > B</blockquote>The 31 A>B>C and 29 B>C>A voters fuse into one coalition with A gone, and so there is now a majority who put B as their 1st choice, and because ISDA implies the [[Majority criterion|majority criterion]], B wins.

== A majority is a Droop quota in the single-winner case. ==

A majority is a Droop [[quota]] in the single-winner case.

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[[Category:Voting theory]]