Independence of Irrelevant Ballots: Difference between revisions
(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 |
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. |
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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. |
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. |
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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. |
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. |
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== Blank Ballot Criterion == |
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=== Definitions === |
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A ''blank ballot'' is a ballot that fails to indicate any preference between any of the candidates. |
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=== Statement of Criterion === |
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The addition of one or more blank ballots cannot change the winner. |
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=== Complying Methods === |
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* '''Complies''': [[Approval voting]], [[Cardinal Ratings]], [[Schulze method|Schulze]] |
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* '''Fails''': [[Median Ratings]] |
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Revision as of 08:26, 14 May 2020
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.
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.
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
- Fails: Median Ratings