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Social Learning in One-Arm Bandit Problems

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  • Dinah Rosenberg
  • Eilon Solan
  • Nicolas Vieille

Abstract

We study a two-player one-arm bandit problem in discrete time, in which the risky arm can have two possible types, high and low, the decision to stop experimenting is irreversible, and players observe each other's actions but not each other's payoffs. We prove that all equilibria are in cutoff strategies and provide several qualitative results on the sequence of cutoffs. Copyright The Econometric Society 2007.

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File URL: http://hdl.handle.net/10.1111/j.1468-0262.2007.00807.x
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Bibliographic Info

Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 75 (2007)
Issue (Month): 6 (November)
Pages: 1591-1611

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Handle: RePEc:ecm:emetrp:v:75:y:2007:i:6:p:1591-1611

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  1. Godfrey Keller & Sven Rady, 1998. "Optimal Experimentation in a Changing Environment," Game Theory and Information 9801001, EconWPA.
  2. Cripps, Martin & Keller, Godfrey & Rady, Sven, 2003. "Strategic Experimentation with Exponential Bandits," Discussion Papers in Economics 4, University of Munich, Department of Economics.
  3. Jean-Paul Decamps & Thomas Mariotti & Stephane Villeneuve, 2003. "Investment Timing under Incomplete Information," STICERD - Theoretical Economics Paper Series 444, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
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  5. Bikhchandani, Sushil & Hirshleifer, David & Welch, Ivo, 1992. "A Theory of Fads, Fashion, Custom, and Cultural Change in Informational Cascades," Journal of Political Economy, University of Chicago Press, vol. 100(5), pages 992-1026, October.
  6. Patrick Bolton & Christopher Harris, 1999. "Strategic Experimentation," Econometrica, Econometric Society, vol. 67(2), pages 349-374, March.
  7. repec:cep:stitep:333 is not listed on IDEAS
  8. Bulow, Jeremy I & Klemperer, Paul, 1991. "Rational Frenzies and Crashes," CEPR Discussion Papers 593, C.E.P.R. Discussion Papers.
  9. Dirk Bergemann & Juuso Valimaki, 1996. "Experimentation in Markets," Discussion Papers 1220, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  10. Martin W. Cripps & Godfrey Keller & Sven Rady, 2002. "Strategic Experimentation: The Case of Poisson Bandits," CESifo Working Paper Series 737, CESifo Group Munich.
  11. Gale, D. & Chamley, C., 1992. "Information Revelation and Strategic Delay in a Model of Investment," Papers 10, Boston University - Department of Economics.
  12. Martin J Osborne & Ariel Rubinstein, 2009. "A Course in Game Theory," Levine's Bibliography 814577000000000225, UCLA Department of Economics.
  13. Dirk Bergemann & Juuso Valimaki, 1996. "Market Diffusion with Two-Sided Learning," Cowles Foundation Discussion Papers 1138, Cowles Foundation for Research in Economics, Yale University.
  14. Guiseppe Moscarini & Francesco Squintani, 2004. "Competitive Experimentation with Private Information," Cowles Foundation Discussion Papers 1489, Cowles Foundation for Research in Economics, Yale University.
  15. Chamley, Christophe, 2004. "Delays and equilibria with large and small information in social learning," European Economic Review, Elsevier, vol. 48(3), pages 477-501, June.
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