Combinatorial versus decision-theoretic components of impossibility theorems |
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Authors: | David Makinson |
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Institution: | (1) Les Etangs B2, F-92410 La Ronce, Ville d'Avray, France |
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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 splitting theorem . |
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Keywords: | Collective preference collective choice impossibility theorems Arrow |
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