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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.
==Systems which violate only one of Arrow's criteria==
[[MCA|MCA-P]], as a rated rather than ranked system, violates only unrestricted domain. A system which arbitrarily chose two candidates to go into a runoff would violate only sovereignty. [[Random ballot]] violates only non-dictatorship. None of the methods described on this wiki violate only monotonicity. The [[Schulze method]] violates only independence of irrelevant alternatives, although it actually satisfies the similar [[ISDA|independence of Smith-dominated alternatives]] criterion.
==See also==
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