European Business Schools Librarian's Group

Les Cahiers de Recherche,
HEC Paris

No 854: Factoring out the impossibility of logical aggregation

Philippe Mongin ()

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. The author shows 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: logical aggregation

17 pages, October 1, 2006

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