Ambiguity reduction through new statistical data

Alain Chateauneuf (1) , Jean-Christophe Vergnaud (2)

1 CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique
2 EUREQUA - Equipe Universitaire de Recherche en Economie Quantitative

Abstract

We provide some objective foundations for a belief revision process in a situation where (i) the decision-maker's initial probabilistic knowledge is imprecise and characterized by the core of a belief function, (ii) expected new data are themselves consistent with a belief function with known focal sets and (iii) the revision process is based on belief function combination. We study the properties of the information value for such a revising in the Gilboa–Schmeidler multi-prior model.

Mots clés: Revising; Information value; Belief function

Domaines: Economies et finances

Alain Chateauneuf, Jean-Christophe Vergnaud. Ambiguity reduction through new statistical data. International Journal of Approximate Reasoning, 2000, 24 (2-3), pp.283-299. ⟨10.1016/S0888-613X(00)00040-2⟩. ⟨halshs-00150069⟩