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Ambiguity reduction through new statistical data

Author

Listed:
  • Alain Chateauneuf

    (CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Jean-Christophe Vergnaud

    (EUREQUA - Equipe Universitaire de Recherche en Economie Quantitative - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

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.

Suggested Citation

  • Alain Chateauneuf & Jean-Christophe Vergnaud, 2000. "Ambiguity reduction through new statistical data," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00150069, HAL.
    • Handle: RePEc:hal:cesptp:halshs-00150069
    DOI: 10.1016/S0888-613X(00)00040-2
    as

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