Generalized neo-additive capacities and updating

• Verfasst von: Eichberger, Jürgen [VerfasserIn]
• Verfasst von: Grant, Simon [VerfasserIn]
• Verfasst von: Lefort, Jean-Philippe [VerfasserIn]
• Titel: Generalized neo-additive capacities and updating
• Verf.angabe: Jürgen Eichberger, Simon Grant and Jean-Philippe Lefort
• E-Jahr: 2012
• Jahr: 27 August 2012
• Umfang: 21 S.
• Fussnoten: Gesehen am 18.06.2019
• Titel Quelle: Enthalten in: International journal of economic theory
• Ort Quelle: Richmond, Victoria : Wiley Publishing Asia, 2005
• Jahr Quelle: 2012
• Band/Heft Quelle: 8(2012), 3, Seite 237-257
• ISSN Quelle: 1742-7363
• DOI: doi:10.1111/j.1742-7363.2012.00189.x
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: ambiguity
• Sach-SW: Choquet Expected Utility
• Sach-SW: consequentialism
• Sach-SW: D81
• Sach-SW: D82
• Sach-SW: dynamic consistency
• Sach-SW: updating
• K10plus-PPN: 1667607871

Abstract

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.