Neo-additive capacities and updating

This paper shows that, for CEU preferences, the axioms consquentialism, state independenceand conditional certainty equivalent consistency under updating characterise a family of capacities,called Genralised Neo-Additive Capacities (GNAC). This family contains as special casesamong 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 thecore of the Full-Bayesian Updates of a capacity, introduced by Jaffray (1992), equals the set ofBayesian updates of the probability distributions in the core of the original capacity....