IDEAS home Printed from https://ideas.repec.org/p/hrv/faseco/3200612.html
   My bibliography  Save this paper

Learning to Play Bayesian Games

Author

Listed:
  • Dekel, Eddie
  • Fudenberg, Drew
  • Levine, David

Abstract

This paper discusses the implications of learning theory for the analysis of games with a move by Nature. One goal is to illuminate the issues that arise when modeling situations where players are learning about the distribution of Nature's move as well as learning about the opponents' strategies. A second goal is to argue that quite restrictive assumptions are necessary to justify the concept of Nash equilibrium without a common prior as a steady state of a learning process.

Suggested Citation

  • Dekel, Eddie & Fudenberg, Drew & Levine, David, 2004. "Learning to Play Bayesian Games," Scholarly Articles 3200612, Harvard University Department of Economics.
  • Handle: RePEc:hrv:faseco:3200612
    as

    Download full text from publisher

    File URL: http://dash.harvard.edu/bitstream/handle/1/3200612/fudenberg_Bayesiangames.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Fudenberg, Drew & Levine, David K, 1993. "Self-Confirming Equilibrium," Econometrica, Econometric Society, vol. 61(3), pages 523-545, May.
    2. Kalai, Ehud & Lehrer, Ehud, 1993. "Rational Learning Leads to Nash Equilibrium," Econometrica, Econometric Society, vol. 61(5), pages 1019-1045, September.
    3. Atanasios Mitropoulos, 2001. "Learning Under Little Information: An Experiment on Mutual Fate Control," Game Theory and Information 0110003, University Library of Munich, Germany.
    4. David Spector, 2000. "Rational Debate and One-Dimensional Conflict," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 115(1), pages 181-200.
    5. Fudenberg, Drew & Levine, David K, 1993. "Steady State Learning and Nash Equilibrium," Econometrica, Econometric Society, vol. 61(3), pages 547-573, May.
    6. Jackson, Matthew O. & Kalai, Ehud, 1997. "Social Learning in Recurring Games," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 102-134, October.
    7. Drew Fudenberg & David K. Levine, 1997. "Measuring Players' Losses in Experimental Games," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 507-536.
    8. Thomas Piketty, 1995. "Social Mobility and Redistributive Politics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(3), pages 551-584.
    9. Chen, Yan, 2003. "An experimental study of serial and average cost pricing mechanisms," Journal of Public Economics, Elsevier, vol. 87(9-10), pages 2305-2335, September.
    10. Dekel, Eddie & Fudenberg, Drew & Levine, David K., 1999. "Payoff Information and Self-Confirming Equilibrium," Journal of Economic Theory, Elsevier, vol. 89(2), pages 165-185, December.
    11. Kreps,David M. & Wallis,Kenneth F. (ed.), 1997. "Advances in Economics and Econometrics: Theory and Applications," Cambridge Books, Cambridge University Press, number 9780521589819, November.
    12. Rubinstein Ariel & Wolinsky Asher, 1994. "Rationalizable Conjectural Equilibrium: Between Nash and Rationalizability," Games and Economic Behavior, Elsevier, vol. 6(2), pages 299-311, March.
    13. Cox, James C. & Shachat, Jason & Walker, Mark, 2001. "An Experiment to Evaluate Bayesian Learning of Nash Equilibrium Play," Games and Economic Behavior, Elsevier, vol. 34(1), pages 11-33, January.
    14. Kreps,David M. & Wallis,Kenneth F. (ed.), 1997. "Advances in Economics and Econometrics: Theory and Applications," Cambridge Books, Cambridge University Press, number 9780521589826, November.
    15. Colin Camerer & Teck-Hua Ho, 1999. "Experience-weighted Attraction Learning in Normal Form Games," Econometrica, Econometric Society, vol. 67(4), pages 827-874, July.
    16. Kreps,David M. & Wallis,Kenneth F. (ed.), 1997. "Advances in Economics and Econometrics: Theory and Applications," Cambridge Books, Cambridge University Press, number 9780521589833, November.
    17. Fudenberg, Drew & Kreps, David M., 1995. "Learning in extensive-form games I. Self-confirming equilibria," Games and Economic Behavior, Elsevier, vol. 8(1), pages 20-55.
    18. Mitropoulos, Atanasios, 2001. "Learning under minimal information: An experiment on mutual fate control," Journal of Economic Psychology, Elsevier, vol. 22(4), pages 523-557, August.
    19. Jordan J. S., 1995. "Bayesian Learning in Repeated Games," Games and Economic Behavior, Elsevier, vol. 9(1), pages 8-20, April.
    20. Abhijit Banerjee & Rohini Somanathan, 2001. "A Simple Model of Voice," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(1), pages 189-227.
    21. Hitoshi Matsushima, 1998. "Towards a Theory of Subjective Games," CIRJE F-Series CIRJE-F-9, CIRJE, Faculty of Economics, University of Tokyo.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Christoph March, 2011. "Adaptive social learning," PSE Working Papers halshs-00572528, HAL.
    2. Mario Gilli, 2002. "Rational Learning in Imperfect Monitoring Games," Working Papers 46, University of Milano-Bicocca, Department of Economics, revised Mar 2002.
    3. Chernov, G. & Susin, I., 2019. "Models of learning in games: An overview," Journal of the New Economic Association, New Economic Association, vol. 44(4), pages 77-125.
    4. Drew Fudenberg & David K. Levine, 2006. "Superstition and Rational Learning," American Economic Review, American Economic Association, vol. 96(3), pages 630-651, June.
    5. Schipper, Burkhard C., 2021. "Discovery and equilibrium in games with unawareness," Journal of Economic Theory, Elsevier, vol. 198(C).
    6. Fudenberg, Drew & Kamada, Yuichiro, 2018. "Rationalizable partition-confirmed equilibrium with heterogeneous beliefs," Games and Economic Behavior, Elsevier, vol. 109(C), pages 364-381.
    7. Yaron Azrieli, 2009. "On pure conjectural equilibrium with non-manipulable information," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(2), pages 209-219, June.
    8. Yoo, Seung Han, 2014. "Learning a population distribution," Journal of Economic Dynamics and Control, Elsevier, vol. 48(C), pages 188-201.
    9. Andreas Nicklisch, 2011. "Learning strategic environments: an experimental study of strategy formation and transfer," Theory and Decision, Springer, vol. 71(4), pages 539-558, October.
    10. Fudenberg, Drew & Levine, David K., 2009. "Self-confirming equilibrium and the Lucas critique," Journal of Economic Theory, Elsevier, vol. 144(6), pages 2354-2371, November.
    11. Andreas Nicklisch, 2006. "Perceiving strategic environments: An experimental study of learning under minimal information," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2006_17, Max Planck Institute for Research on Collective Goods.
    12. Costa-Gomes, Miguel & Crawford, Vincent P & Broseta, Bruno, 2001. "Cognition and Behavior in Normal-Form Games: An Experimental Study," Econometrica, Econometric Society, vol. 69(5), pages 1193-1235, September.
    13. Matthew O. Jackson & Ehud Kalai & Rann Smorodinsky, 1999. "Bayesian Representation of Stochastic Processes under Learning: de Finetti Revisited," Econometrica, Econometric Society, vol. 67(4), pages 875-894, July.
    14. Matthew O. Jackson & Ehud Kalai & Rann Smorodinsky, 1997. "Patterns, Types, and Bayesian Learning," Game Theory and Information 9711002, University Library of Munich, Germany.
    15. Ignacio Esponda & Demian Pouzo, 2014. "Berk-Nash Equilibrium: A Framework for Modeling Agents with Misspecified Models," Papers 1411.1152, arXiv.org, revised Nov 2019.
    16. Philippe Jehiel, 2022. "Analogy-Based Expectation Equilibrium and Related Concepts:Theory, Applications, and Beyond," PSE Working Papers halshs-03735680, HAL.
    17. Andreas Nicklisch, 2004. "Perceiving strategic environments -An experimental study of strategy formation and transfer-," Papers on Strategic Interaction 2004-26, Max Planck Institute of Economics, Strategic Interaction Group.
    18. Conlon, John R., 2003. "Hope springs eternal: learning and the stability of cooperation in short horizon repeated games," Journal of Economic Theory, Elsevier, vol. 112(1), pages 35-65, September.
    19. Fudenberg, Drew & He, Kevin, 2021. "Player-compatible learning and player-compatible equilibrium," Journal of Economic Theory, Elsevier, vol. 194(C).
    20. Clark, Daniel & Fudenberg, Drew & He, Kevin, 2022. "Observability, dominance, and induction in learning models," Journal of Economic Theory, Elsevier, vol. 206(C).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hrv:faseco:3200612. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Office for Scholarly Communication (email available below). General contact details of provider: https://edirc.repec.org/data/deharus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.