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Dynamic stochastic dominance in bandit decision problems

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  • Thierry Magnac

    (GREMAQ - Groupe de recherche en économie mathématique et quantitative - UT Capitole - Université Toulouse Capitole - UT - Université de Toulouse - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - CNRS - Centre National de la Recherche Scientifique)

  • Jean-Marc Robin

Abstract

The aim of this paper is to study the monotonicity properties with respect to the probability distribution of the state processes, of optimal decisions in bandit decision problems. Orderings of dynamic discrete projects are provided by extending the notion of stochastic dominance to stochastic processes.

Suggested Citation

  • Thierry Magnac & Jean-Marc Robin, 1999. "Dynamic stochastic dominance in bandit decision problems," Post-Print hal-03567790, HAL.
    • Handle: RePEc:hal:journl:hal-03567790
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    References listed on IDEAS

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    1. Bikhchandani, Sushil & Segal, Uzi & Sharma, Sunil, 1992. "Stochastic dominance under Bayesian learning," Journal of Economic Theory, Elsevier, vol. 56(2), pages 352-377, April.
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    Cited by:

    1. Jean-Philippe Chancelier & Michel De Lara & André de Palma, 2007. "Risk Aversion, Road Choice, and the One-Armed Bandit Problem," Transportation Science, INFORMS, vol. 41(1), pages 1-14, February.
    2. Jean-Philippe Chancelier & Michel Lara & André Palma, 2009. "Risk aversion in expected intertemporal discounted utilities bandit problems," Theory and Decision, Springer, vol. 67(4), pages 433-440, October.
    3. Alfred Müller & Marco Scarsini, 2002. "Even Risk-Averters may Love Risk," Theory and Decision, Springer, vol. 52(1), pages 81-99, February.

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