Independence of Irrelevant Ballots
IIB is equivalent 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.
Blank Ballot CriterionEdit
A blank ballot is a ballot that fails to indicate any preference between any of the candidates.
Statement of CriterionEdit
The addition of one or more blank ballots cannot change the winner.