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Combinatorial versus decision-theoretic components of impossibility theorems
Authors:David Makinson
Institution:(1) Les Etangs B2, F-92410 La Ronce, Ville d'Avray, France
Abstract:We separate the purely combinatorial component of Arrow's Impossibility Theorem in the theory of collective preference from its decision-theoretic part, and likewise for the closely related result of Blair/Bordes/Kelly/Suzumura. Such a separation provides a particularly elegant proof of the former, via a new lsquosplitting theoremrsquo.
Keywords:Collective preference  collective choice  impossibility theorems  Arrow
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