Generalized neo-additive capacities and updating

Jürgen Eichberger, Simon Grant and Jean-Philippe Lefort
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Jürgen Eichberger: Universität Heidelberg [Heidelberg] = Heidelberg University
Jean-Philippe Lefort: LEDa - Laboratoire d'Economie de Dauphine - IRD - Institut de Recherche pour le Développement - Université Paris Dauphine-PSL - PSL - Université Paris Sciences et Lettres - CNRS - Centre National de la Recherche Scientifique

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Abstract: This paper shows that, for CEU preferences, the axioms consquentialism, state independence and conditional certainty equivalent consistency under updating characterise a family of capacities, called Genralised Neo-Additive Capacities (GNAC). This family contains as special cases among others neo-additive capacities as introduced by Chateauneuf, Eichberger, and Grant(2007), Hurwicz capacities, and ε-contaminations. Moreover, we will show that the convex version of a GNAC is the only capacity for which the core of the Full-Bayesian Updates of a capacity, introduced by Jaffray (1992), equals the set of Bayesian updates of the probability distributions in the core of the original capacity.

Keywords: Conditional certainty equivalent consistency; neo-additive capacities; Choquet expected utility; Updating; Abiguity (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (11)

Published in International Journal of Economic Theory, 2012, 8 (3), ⟨10.1111/j.1742-7363.2012.00189.x⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-01615858

DOI: 10.1111/j.1742-7363.2012.00189.x

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