jsalvatier comments on No independence of irrelevant alternatives (picture proof) - Less Wrong
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Basically this says that decision symmetry and IIA are incompatible because the definition of "symmetry" depends "irrelevant alternatives". Yes?
In a way.
But as I said, you don't actually need symmetry to break IIA (non-dictatorship should be enough); it's just that there is an easy picture proof for symmetry.