feanor1600 comments on Arrow's Theorem is a Lie - Less Wrong

27 Post author: alyssavance 24 October 2009 08:46PM

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Comment author: feanor1600 29 October 2010 04:06:33PM *  1 point [-]

The independence of irrelevant alternatives ("pairwise independence") can also apply to individuals, it is just that Arrow's theorem doesn't directly require it. However, a better statement of the independence of irrelevant alternatives for Arrow is "if all individuals have preferences satisfying pairwise independence, then the group's decision function should also satisfy it". So for group IIA to matter we should have individual IIA