Independence of Irrelevant Ballots

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IIB is strongly connected to the Blank Ballot Criterion. It says that a voter who has no preference between any candidates should not impact which of them wins or loses by voting.

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 methods violate this criterion because an irrelevant voter will change the size of the quota. See the Highest-averages method#Notes article for an example.