Independence of Irrelevant Ballots: Difference between revisions
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(Created page with "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...") |
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IIB is
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 [[Divisor method#Notes|Highest-averages method#Notes]] article for an example.
== Blank Ballot Criterion ==
=== Definitions ===
A ''blank ballot'' is a ballot that fails to indicate any preference between any of the candidates.
=== Statement of Criterion ===
The addition of one or more blank ballots cannot change the winner.
=== Complying Methods ===
* '''Complies''': [[Approval voting]], [[Cardinal Ratings]], [[Schulze method|Schulze]]
* '''Fails''': [[Median Ratings]]
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