IDEAS home Printed from https://ideas.repec.org/h/wsi/wschap/9789812818478_0007.html
   My bibliography  Save this book chapter

Reputation And Equilibrium Selection In Games With A Patient Player

In: A Long-Run Collaboration On Long-Run Games

Author

Listed:
  • DREW FUDENBERG

    (Department of Economics, MIT, Cambridge, MA 02139, U.S.A.)

  • DAVID K. LEVINE

    (Department of Economics, UCLA, Los Angeles, CA 90024, U.S.A.)

Abstract

AbstractA single long-run player plays a simultaneous-move stage game against a sequence of opponents who play only once, but observe all previous play. Let the “Stackelberg strategy” be the pure strategy to which the long-run player would most like to commit himself. If there is positive prior probability that the long-run player will always play the Stackelberg strategy, then his payoff in any Nash equilibrium exceeds a bound that converges to the Stackelberg payoff as his discount factor approaches one. When the stage game is not simultaneous move, this result must be modified to account for the possibility that distinct strategies of the long-run player are observationally equivalent.

Suggested Citation

  • Drew Fudenberg & David K. Levine, 2008. "Reputation And Equilibrium Selection In Games With A Patient Player," World Scientific Book Chapters,in: A Long-Run Collaboration On Long-Run Games, chapter 7, pages 123-142 World Scientific Publishing Co. Pte. Ltd..
  • Handle: RePEc:wsi:wschap:9789812818478_0007
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/pdf/10.1142/9789812818478_0007
    Download Restriction: Ebook Access is available upon purchase.

    File URL: http://www.worldscientific.com/doi/abs/10.1142/9789812818478_0007
    Download Restriction: Ebook Access is available upon purchase.

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Kreps, David M. & Milgrom, Paul & Roberts, John & Wilson, Robert, 1982. "Rational cooperation in the finitely repeated prisoners' dilemma," Journal of Economic Theory, Elsevier, vol. 27(2), pages 245-252, August.
    2. Reinhard Selten, 1974. "The Chain Store Paradox," Center for Mathematical Economics Working Papers 018, Center for Mathematical Economics, Bielefeld University.
    3. Drew Fudenberg & David M. Kreps & David K. Levine, 2008. "On the Robustness of Equilibrium Refinements," World Scientific Book Chapters,in: A Long-Run Collaboration On Long-Run Games, chapter 5, pages 67-93 World Scientific Publishing Co. Pte. Ltd..
    4. Harsanyi, John C, 1995. "Games with Incomplete Information," American Economic Review, American Economic Association, vol. 85(3), pages 291-303, June.
    5. Fudenberg, Drew & Maskin, Eric, 1986. "The Folk Theorem in Repeated Games with Discounting or with Incomplete Information," Econometrica, Econometric Society, vol. 54(3), pages 533-554, May.
    6. Drew Fudenberg & David Levine, 2008. "Subgame–Perfect Equilibria of Finite– and Infinite–Horizon Games," World Scientific Book Chapters,in: A Long-Run Collaboration On Long-Run Games, chapter 1, pages 3-20 World Scientific Publishing Co. Pte. Ltd..
    7. Kreps, David M. & Wilson, Robert, 1982. "Reputation and imperfect information," Journal of Economic Theory, Elsevier, vol. 27(2), pages 253-279, August.
    8. Drew Fudenberg & David M. Kreps & Eric S. Maskin, 1990. "Repeated Games with Long-run and Short-run Players," Review of Economic Studies, Oxford University Press, vol. 57(4), pages 555-573.
    9. Milgrom, Paul & Roberts, John, 1982. "Predation, reputation, and entry deterrence," Journal of Economic Theory, Elsevier, vol. 27(2), pages 280-312, August.
    10. D. Fudenberg & D. M. Kreps, 1969. "Reputation and Simultaneous Opponents," Levine's Working Paper Archive 604, David K. Levine.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Long-Run Players; Limit Games; Robustness; Equilibrium; Reputation Effects; Repeated Games;

    JEL classification:

    • I10 - Health, Education, and Welfare - - Health - - - General

    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:wsi:wschap:9789812818478_0007. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Tai Tone Lim). General contact details of provider: http://www.worldscientific.com/page/worldscibooks .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.