Independence of irrelevant alternatives: Difference between revisions
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A less strict property is sometimes called '''local independence of irrelevant alternatives'''. It says that if one option (X) wins an election, and a new alternative (Y) is added, X will win the election if Y is not in the [[Smith set]]. |
A less strict property is sometimes called '''local independence of irrelevant alternatives'''. It says that if one option (X) wins an election, and a new alternative (Y) is added, X will win the election if Y is not in the [[Smith set]]. |
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All [[Condorcet method]]s fail the former criterion, but some (e.g. [[Schulze method| |
All [[Condorcet method]]s fail the former criterion, but some (e.g. [[Schulze method|Schulze]]) satisfy the latter. |
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None of the [[Borda count]], [[Coombs' method]] or [[Instant-runoff voting]] meet either criterion. |
None of the [[Borda count]], [[Coombs' method]] or [[Instant-runoff voting]] meet either criterion. |