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Ambiguity aversion in multi-armed bandit problems

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  • Christopher Anderson

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  • Christopher Anderson, 2012. "Ambiguity aversion in multi-armed bandit problems," Theory and Decision, Springer, vol. 72(1), pages 15-33, January.
  • Handle: RePEc:kap:theord:v:72:y:2012:i:1:p:15-33
    DOI: 10.1007/s11238-011-9259-2
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    References listed on IDEAS

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    3. Klibanoff, Peter & Marinacci, Massimo & Mukerji, Sujoy, 2009. "Recursive smooth ambiguity preferences," Journal of Economic Theory, Elsevier, vol. 144(3), pages 930-976, May.
    4. Robin M. Hogarth & Hillel J. Einhorn, 1990. "Venture Theory: A Model of Decision Weights," Management Science, INFORMS, vol. 36(7), pages 780-803, July.
    5. repec:cdl:agrebk:1326487 is not listed on IDEAS
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    7. Cox, James C & Oaxaca, Ronald L, 1992. "Direct Tests of the Reservation Wage Property," Economic Journal, Royal Economic Society, vol. 102(415), pages 1423-1432, November.
    8. Robert J. Meyer & Yong Shi, 1995. "Sequential Choice Under Ambiguity: Intuitive Solutions to the Armed-Bandit Problem," Management Science, INFORMS, vol. 41(5), pages 817-834, May.
    9. John W. Pratt & David A. Wise & Richard Zeckhauser, 1979. "Price Differences in almost Competitive Markets," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(2), pages 189-211.
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    11. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    12. Cox, James C & Oaxaca, Ronald L, 1989. "Laboratory Experiments with a Finite-Horizon Job-Search Model," Journal of Risk and Uncertainty, Springer, vol. 2(3), pages 301-329, September.
    13. James Cox & Ronald Oaxaca, 2000. "Good News and Bad News: Search from Unknown Wage Offer Distributions," Experimental Economics, Springer;Economic Science Association, vol. 2(3), pages 197-225, March.
    14. Traeger, Christian P., 2010. "Subjective Risk, Confidence, and Ambiguity," CUDARE Working Papers 90461, University of California, Berkeley, Department of Agricultural and Resource Economics.
    15. Noah Gans & George Knox & Rachel Croson, 2007. "Simple Models of Discrete Choice and Their Performance in Bandit Experiments," Manufacturing & Service Operations Management, INFORMS, vol. 9(4), pages 383-408, December.
    16. Camerer, Colin & Weber, Martin, 1992. "Recent Developments in Modeling Preferences: Uncertainty and Ambiguity," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 325-370, October.
    17. Schotter, Andrew & Braunstein, Yale M, 1981. "Economic Search: An Experimental Study," Economic Inquiry, Western Economic Association International, vol. 19(1), pages 1-25, January.
    18. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    19. Hey, John D., 1987. "Still searching," Journal of Economic Behavior & Organization, Elsevier, vol. 8(1), pages 137-144, March.
    20. Kahn, Barbara E & Sarin, Rakesh K, 1988. "Modeling Ambiguity in Decisions under Uncertainty," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 15(2), pages 265-272, September.
    21. Daniel Ellsberg, 1961. "Risk, Ambiguity, and the Savage Axioms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 75(4), pages 643-669.
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    Citations

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    Cited by:

    1. Shaun Larcom & Ferdinand Rauch & Tim Willems, 2017. "The Benefits of Forced Experimentation: Striking Evidence from the London Underground Network," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 132(4), pages 2019-2055.
    2. Cosmin Ilut & Rosen Valchev & Nicolas Vincent, 2020. "Paralyzed by Fear: Rigid and Discrete Pricing Under Demand Uncertainty," Econometrica, Econometric Society, vol. 88(5), pages 1899-1938, September.
    3. Hudja, Stanton, 2021. "Is Experimentation Invariant to Group Size? A Laboratory Analysis of Innovation Contests," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 91(C).
    4. Hu, Yingyao & Kayaba, Yutaka & Shum, Matthew, 2013. "Nonparametric learning rules from bandit experiments: The eyes have it!," Games and Economic Behavior, Elsevier, vol. 81(C), pages 215-231.
    5. Pierpaolo Battigalli & Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci, 2015. "Self-Confirming Equilibrium and Model Uncertainty," American Economic Review, American Economic Association, vol. 105(2), pages 646-677, February.
    6. Farzad Pourbabaee, 2022. "Robust experimentation in the continuous time bandit problem," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(1), pages 151-181, February.
    7. Jean Paul Rabanal & Aleksei Chernulich & John Horowitz & Olga A. Rud & Manizha Sharifova, 2019. "Market timing under public and private information," Working Papers 151, Peruvian Economic Association.
    8. W. Kip Viscusi & Scott DeAngelis, 2018. "Decision irrationalities involving deadly risks," Journal of Risk and Uncertainty, Springer, vol. 57(3), pages 225-252, December.
    9. Oliveira, Fernando S. & Costa, Manuel L.G., 2018. "Capacity expansion under uncertainty in an oligopoly using indirect reinforcement-learning," European Journal of Operational Research, Elsevier, vol. 267(3), pages 1039-1050.
    10. Farzad Pourbabaee, 2021. "Robust Experimentation in the Continuous Time Bandit Problem," Papers 2104.00102, arXiv.org.
    11. Johannes Hoelzemann & Nicolas Klein, 2021. "Bandits in the lab," Quantitative Economics, Econometric Society, vol. 12(3), pages 1021-1051, July.
    12. Battigalli, P. & Francetich, A. & Lanzani, G. & Marinacci, M., 2019. "Learning and self-confirming long-run biases," Journal of Economic Theory, Elsevier, vol. 183(C), pages 740-785.
    13. Li, Jian, 2019. "The K-armed bandit problem with multiple priors," Journal of Mathematical Economics, Elsevier, vol. 80(C), pages 22-38.
    14. Oyarzun, Carlos & Sanjurjo, Adam & Nguyen, Hien, 2017. "Response functions," European Economic Review, Elsevier, vol. 98(C), pages 1-31.

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    More about this item

    Keywords

    Bandit problem; Gittins index; Ambiguity aversion; C91; C44; C73; D83;
    All these keywords.

    JEL classification:

    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior
    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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