Independence of Irrelevant Ballots: Difference between revisions
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'''Independence of Irrelevant Ballots (IIB)''',
A generalization of this concept is to treat an irrelevant ballot as simply being a ballot with no preference between the candidates in a set of candidates, and the requirement as being that that ballot shouldn't impact who wins or loses among that set of candidates.
In general, [[Largest remainder method|Largest remainder methods]] violate this criterion because an irrelevant voter will change the size of the quota. See the [[Quota rule#Notes]] for an example. There are proportional cardinal methods that pass this criterion with "empty ballots" (where all candidates are given a zero or unapproved) but fail with "full ballots" (where candidates are given the same positive score or approved). For example, [[Phragmen's voting rules]] passes with empty ballots but fails with full ballots. [[Monroe's method]] fails with both full and empty ballots. In general, it is easier for a method to pass this criterion with empty ballots.
=== Complying Methods ===
* '''Complies''': [[Approval voting]], [[Cardinal Ratings]], [[Schulze method|Schulze]], [[COWPEA]], [[COWPEA|COWPEA Lottery]], [[Proportional_approval_voting|Propotional Approval Voting]]
* '''Fails''': [[Median Ratings]], [[Phragmen's voting rules]], [[Monroe's method]]
[[Category:Voting system criteria]]
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