Generalized neo-additive capacities and updating

This paper shows that, for Choquet expected utility preferences, the axioms consquentialism, state independence and conditional certainty equivalent consistency under updating characterise a family of capacities, which we call Generalized Neo-Additive Capacities (GNAC). This family contains as speci...

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Hauptverfasser: Eichberger, Jürgen (VerfasserIn) , Grant, Simon (VerfasserIn) , Lefort, Jean-Philippe (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 27 August 2012
In: International journal of economic theory
Year: 2012, Jahrgang: 8, Heft: 3, Pages: 237-257
ISSN:1742-7363
DOI:10.1111/j.1742-7363.2012.00189.x
Online-Zugang:Verlag, Volltext: https://doi.org/10.1111/j.1742-7363.2012.00189.x
Verlag, Volltext: https://onlinelibrary.wiley.com/doi/abs/10.1111/j.1742-7363.2012.00189.x
Volltext
Verfasserangaben:Jürgen Eichberger, Simon Grant and Jean-Philippe Lefort
Beschreibung
Zusammenfassung:This paper shows that, for Choquet expected utility preferences, the axioms consquentialism, state independence and conditional certainty equivalent consistency under updating characterise a family of capacities, which we call Generalized Neo-Additive Capacities (GNAC). This family contains as special cases, among others, neo-additive capacities as introduced by Chateauneuf, Eichberger, and Grant, Hurwicz capacities, and ɛ-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, equals the set of Bayesian updates of the probability distributions in the core of the original capacity.
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Beschreibung:Online Resource
ISSN:1742-7363
DOI:10.1111/j.1742-7363.2012.00189.x