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Dynamic Stochastic Dominance in Bandit Decision Problems

Author

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  • Magnac, T.
  • Robin, J.M.

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.
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Suggested Citation

  • Magnac, T. & Robin, J.M., 1992. "Dynamic Stochastic Dominance in Bandit Decision Problems," DELTA Working Papers 92-18, DELTA (Ecole normale supérieure).
  • Handle: RePEc:del:abcdef:92-18
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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.
    2. Bikhchandani, Sushil & Sharma, Sunil, 1996. "Optimal search with learning," Journal of Economic Dynamics and Control, Elsevier, vol. 20(1-3), pages 333-359.
    3. Rothschild, Michael, 1974. "A two-armed bandit theory of market pricing," Journal of Economic Theory, Elsevier, vol. 9(2), pages 185-202, October.
    4. Fishman, Arthur, 1990. "Stochastic dominance in multi sampling environments," Journal of Economic Theory, Elsevier, vol. 51(1), pages 77-91, June.
    5. Miller, Robert A, 1984. "Job Matching and Occupational Choice," Journal of Political Economy, University of Chicago Press, vol. 92(6), pages 1086-1120, December.
    6. Flinn, Christopher J, 1986. "Wages and Job Mobility of Young Workers," Journal of Political Economy, University of Chicago Press, vol. 94(3), pages 88-110, June.
    7. Jovanovic, Boyan, 1979. "Job Matching and the Theory of Turnover," Journal of Political Economy, University of Chicago Press, vol. 87(5), pages 972-990, October.
    8. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    9. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
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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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