This note shows that capacities satisfying the axioms consquentialism, state independence and conditional certainty equivalent consistency under updating are a generalised version of neoadditive capacities as axiomatised in Chateauneuf, Eichberger, and Grant (2007)

Eichberger, Jürgen

Grant, Simon

Lefort, Jean-Philippe

MAnnheim DOCument Server (Univ. Mannheim)

Neo-additive capacities and updating

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

Heidelberger Dokumentenserver

EconStor (ZBW Kiel)

Mannheim Electronic DOCument Server der Universitätsbibliothek Mannheim

https://www.econstor.eu/bitstream/10419/127396/1/dp490.pdf

Neo-additive capacities and updating

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MAnnheim DOCument Server (Univ. Mannheim)

Heidelberger Dokumentenserver

EconStor (ZBW Kiel)

Mannheim Electronic DOCument Server der Universitätsbibliothek Mannheim