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On stochastic independence under ambiguity

Author

Listed:
  • Federica Ceron

    (GATE Lyon Saint-Étienne - Groupe d'Analyse et de Théorie Economique Lyon - Saint-Etienne - ENS de Lyon - École normale supérieure de Lyon - UL2 - Université Lumière - Lyon 2 - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon - UJM - Université Jean Monnet - Saint-Étienne - CNRS - Centre National de la Recherche Scientifique)

  • Vassili Vergopoulos

    (LEMMA - Laboratoire d'économie mathématique et de microéconomie appliquée - Université Paris-Panthéon-Assas)

Abstract

We provide behavioral characterizations of notions of stochastic independence between two sources of uncertainty for agents with ambiguity-sensitive preferences. These notions, inspired from the literature on imprecise probabilities, include the independent product of two sets of marginal beliefs proposed by Gilboa and Schmeidler (J Math Econ 18(2): 141–153, 1989) in their seminal paper. Our analysis draws a clear relationship between the property of dynamic consistency of preferences and some form of stochastic independence between the relevant events.

Suggested Citation

  • Federica Ceron & Vassili Vergopoulos, 2020. "On stochastic independence under ambiguity," Post-Print halshs-04072488, HAL.
  • Handle: RePEc:hal:journl:halshs-04072488
    DOI: 10.1007/s00199-020-01267-z
    as

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