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Strategic Learning in Games with Symmetric Information

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  • O. Gossner
  • N. Vieille

Abstract

This paper studies situations in which agents do not initially know the effect of their decisions, but learn from experience the payoffs induced by their choices and their opponent's. We characterize equilibrium paysoffs in termsof simple strategies in which an explanation phase is followed by a payoff acquisition phase.
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Suggested Citation

  • O. Gossner & N. Vieille, 2000. "Strategic Learning in Games with Symmetric Information," THEMA Working Papers 2000-27, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    • Handle: RePEc:ema:worpap:2000-27
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    File URL: http://www.u-cergy.fr/IMG/documents//2000-27Gossner.pdf
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    References listed on IDEAS

    as
    1. Abraham Neyman & Sylvain Sorin, 1998. "Equilibria in repeated games of incomplete information: The general symmetric case," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(2), pages 201-210.
    2. Forges, Francoise, 1992. "Repeated games of incomplete information: Non-zero-sum," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 6, pages 155-177, Elsevier.
    3. repec:dau:papers:123456789/184 is not listed on IDEAS
    4. Robert J. Aumann, 1995. "Repeated Games with Incomplete Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011476, April.
    5. Foster, Dean P. & Vohra, Rakesh, 1999. "Regret in the On-Line Decision Problem," Games and Economic Behavior, Elsevier, vol. 29(1-2), pages 7-35, October.
    6. Patrick Bolton & Christopher Harris, 1999. "Strategic Experimentation," Econometrica, Econometric Society, vol. 67(2), pages 349-374, March.
    7. Drew Fudenberg & David K. Levine, 2008. "Maintaining a Reputation when Strategies are Imperfectly Observed," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 8, pages 143-161, World Scientific Publishing Co. Pte. Ltd..
    8. Aumann, Robert J., 1974. "Subjectivity and correlation in randomized strategies," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 67-96, March.
    9. Drew Fudenberg & Eric Maskin, 2008. "The Folk Theorem In Repeated Games With Discounting Or With Incomplete Information," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 11, pages 209-230, World Scientific Publishing Co. Pte. Ltd..
    10. Nimrod Megiddo, 1979. "On Repeated Games with Incomplete Information Played by Non-Bayesian Players," Discussion Papers 373, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    11. Sergiu Hart, 1985. "Nonzero-Sum Two-Person Repeated Games with Incomplete Information," Mathematics of Operations Research, INFORMS, vol. 10(1), pages 117-153, February.
    12. Sorin, Sylvain, 1999. "Merging, Reputation, and Repeated Games with Incomplete Information," Games and Economic Behavior, Elsevier, vol. 29(1-2), pages 274-308, October.
    13. Hirshleifer, Jack, 1971. "The Private and Social Value of Information and the Reward to Inventive Activity," American Economic Review, American Economic Association, vol. 61(4), pages 561-574, September.
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    Cited by:

    1. Sylvain Chassang, 2010. "Building Routines: Learning, Cooperation, and the Dynamics of Incomplete Relational Contracts," American Economic Review, American Economic Association, vol. 100(1), pages 448-465, March.
    2. Andreas Blume & April Mitchell Franco & Paul Heidhues, 2021. "Dynamic coordination via organizational routines," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(4), pages 1001-1047, November.
    3. ,, 2012. "A partial folk theorem for games with private learning," Theoretical Economics, Econometric Society, vol. 7(2), May.
    4. Fudenberg, Drew & Yamamoto, Yuichi, 2011. "Learning from private information in noisy repeated games," Journal of Economic Theory, Elsevier, vol. 146(5), pages 1733-1769, September.
    5. Yuichi Yamamoto, 2012. "Individual Learning and Cooperation in Noisy Repeated Games," PIER Working Paper Archive 12-044, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    6. Jérôme Renault, 2001. "Learning Sets in State Dependent Signalling Game Forms: A Characterization," Mathematics of Operations Research, INFORMS, vol. 26(4), pages 832-850, November.
    7. Yuichi Yamamoto, 2013. "Individual Learning and Cooperation in Noisy Repeated Games," PIER Working Paper Archive 13-038, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    8. Andreas Blume & April Franco & Paul Heidhues, 2006. "Rational Multi-Agent Search," 2006 Meeting Papers 776, Society for Economic Dynamics.
    9. Tristan Tomala, 2013. "Belief-Free Communication Equilibria in Repeated Games," Mathematics of Operations Research, INFORMS, vol. 38(4), pages 617-637, November.
    10. Andreas Blume, 2011. "Dynamic Coordination Via Organizational Routines," Working Paper 439, Department of Economics, University of Pittsburgh, revised Jan 2011.

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    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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