Arrow's impossibility theorem: Difference between revisions
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With a narrower definition of “irrelevant alternatives” which excludes those candidates in the [[Smith set]], some [[Condorcet method]]s meet all the criteria. |
With a narrower definition of “irrelevant alternatives” which excludes those candidates in the [[Smith set]], some [[Condorcet method]]s meet all the criteria. |
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==Statement== |
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No [[Ordinal Voting]] system can be designed that always satisfies these three "fairness" criteria: |
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# [[Pareto Criterion]] |
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# [[Independence of Irrelevant Alternatives]] |
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# There is neither "dictator" nor "prophet": no single voter possesses the power or the knowledge to always determine the group's preference. |
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==Systems which violate only one of Arrow's criteria== |
==Systems which violate only one of Arrow's criteria== |
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