Maxmin Expected Utility with Non-Unique Prior - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Mathematical Economics Année : 1989

Maxmin Expected Utility with Non-Unique Prior

Résumé

Acts are functions from states of nature into finite-support distributions over a set of 'deterministic outcomes'. We characterize preference relations over acts which have a numerical representation by the functional J(f) = min > {∫ uo f dP / P∈C } where f is an act, u is a von Neumann-Morgenstern utility over outcomes, and C is a closed and convex set of finitely additive probability measures on the states of nature. In addition to the usual assumptions on the preference relation as transitivity, completeness, continuity and monotonicity, we assume uncertainty aversion and certainty-independence. The last condition is a new one and is a weakening of the classical independence axiom: It requires that an act f is preferred to an act g if and only if the mixture of f and any constant act h is preferred to the same mixture of g and h. If non-degeneracy of the preference relation is also assumed, the convex set of priors C is uniquely determined. Finally, a concept of independence in case of a non-unique prior is introduced.

Domaines

Dates et versions

hal-00753237 , version 1 (18-11-2012)

Identifiants

Citer

Itzhak Gilboa, David Schmeidler. Maxmin Expected Utility with Non-Unique Prior. Journal of Mathematical Economics, 1989, vol. 18, issue 2, pp. 141-153. ⟨10.1016/0304-4068(89)90018-9⟩. ⟨hal-00753237⟩

Collections

HEC
1061 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More