Random aggregation without the Pareto principle

Jérémy Picot ()
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Jérémy Picot: BETA - Bureau d'Économie Théorique et Appliquée - AgroParisTech - UNISTRA - Université de Strasbourg - Université de Haute-Alsace (UHA) - Université de Haute-Alsace (UHA) Mulhouse - Colmar - UL - Université de Lorraine - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement

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Abstract: Barberà-Sonnenschein (J Econ Theory 18:244–254, 1978) have shown that any binary and Paretian random social choice function can be associated with a mapping which associates a real number with each coalition of individuals. This function gives, for each coalition, the power that this group has in imposing on society, their common preference relation on a pair of alternatives. The aim of this paper is to extend this result, showing that the Pareto criterion is not a necessary condition for the existence of such a coalitional power function.

Keywords: Random aggregation; Pareto principle; Coalitional power function; Non-imposition (search for similar items in EconPapers)
Date: 2012-09-10
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Published in Journées de l'Association Française de Sciences Économiques (AFSE), Sep 2012, Paris, France

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-04876964

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