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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, 1997. "Optimal Experimentation in a Changing Environment," STICERD - Theoretical Economics Paper Series /1997/333, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
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  4. Cripps, Martin William & Keller, Godfrey & Rady, Sven, 2003. "Strategic Experimentation with Exponential Bandits," CEPR Discussion Papers 3814, C.E.P.R. Discussion Papers.
  5. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, December.
  6. Décamps, Jean-Paul & Mariotti, Thomas & Villeneuve, Stéphane, 2000. "Investment Timing under Incomplete Information," IDEI Working Papers 115, Institut d'Économie Industrielle (IDEI), Toulouse, revised Apr 2004.
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  8. Bulow, Jeremy I & Klemperer, Paul, 1991. "Rational Frenzies and Crashes," CEPR Discussion Papers 593, C.E.P.R. Discussion Papers.
  9. Sushil Bikhchandani & David Hirshleifer & Ivo Welch, 2010. "A theory of Fads, Fashion, Custom and cultural change as informational Cascades," Levine's Working Paper Archive 1193, David K. Levine.
  10. Patrick Bolton & Christopher Harris, 1999. "Strategic Experimentation," Econometrica, Econometric Society, vol. 67(2), pages 349-374, March.
  11. Bergemann, Dirk & Valimaki, Juuso, 2000. "Experimentation in Markets," Review of Economic Studies, Wiley Blackwell, vol. 67(2), pages 213-34, April.
  12. Martin W. Cripps & Godfrey Keller & Sven Rady, 2002. "Strategic Experimentation: The Case of Poisson Bandits," CESifo Working Paper Series 737, CESifo Group Munich.
  13. 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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