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Factoring out the impossibility of logical aggregation
Authors:Philippe Mongin
Institution:HEC School of Management, Centre National de la Recherche Scientifique, 1rue de la Libération, F-78350 Jouy-en-Josas, France
Abstract:According to a theorem recently proved in the theory of logical aggregation, any nonconstant social judgment function that satisfies independence of irrelevant alternatives (IIA) is dictatorial. We show that the strong and not very plausible IIA condition can be replaced with a minimal independence assumption plus a Pareto-like condition. This new version of the impossibility theorem likens it to Arrow's and arguably enhances its paradoxical value.
Keywords:D70  D71
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