IDEAS home Printed from https://ideas.repec.org/p/bie/wpaper/583.html
   My bibliography  Save this paper

A note on ”Necessary and sufficient conditions for the perfect finite horizon folk theorem” [Econometrica, 63 (2): 425-430, 1995.]

Author

Listed:
  • Demeze-Jouatsa, Ghislain-Herman

    (Center for Mathematical Economics, Bielefeld University)

Abstract

Smith (1995) presented a necessary and sufficient condition for the finite- horizon perfect folk theorem. In the proof of this result, the author constructed a family of five-phase strategy profiles to approach feasible and individually rational payoff vec- tors of the stage-game. These strategy profiles are not subgame perfect Nash equilibria of the finitely repeated game. I illustrate this fact with a counter-example. However, the characterization of attainable payoff vectors by Smith remains true. I provide an alternative proof.

Suggested Citation

  • Demeze-Jouatsa, Ghislain-Herman, 2018. "A note on ”Necessary and sufficient conditions for the perfect finite horizon folk theorem” [Econometrica, 63 (2): 425-430, 1995.]," Center for Mathematical Economics Working Papers 583, Center for Mathematical Economics, Bielefeld University.
    • Handle: RePEc:bie:wpaper:583
    as

    Download full text from publisher

    File URL: https://pub.uni-bielefeld.de/download/2930380/2930381
    File Function: First Version, 2018
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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..
    2. Abreu, Dilip & Dutta, Prajit K & Smith, Lones, 1994. "The Folk Theorem for Repeated Games: A NEU Condition," Econometrica, Econometric Society, vol. 62(4), pages 939-948, July.
    3. Smith, Lones, 1995. "Necessary and Sufficient Conditions for the Perfect Finite Horizon Folk Theorem," Econometrica, Econometric Society, vol. 63(2), pages 425-430, March.
    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. Jean-Pierre Benoît & Vijay Krishna, 1996. "The Folk Theorems for Repeated Games - A Synthesis," Discussion Papers 96-03, University of Copenhagen. Department of Economics.
    2. Demeze-Jouatsa, Ghislain-Herman, 2018. "A complete folk theorem for finitely repeated games," Center for Mathematical Economics Working Papers 584, Center for Mathematical Economics, Bielefeld University.
    3. Gonzalez-Diaz, Julio, 2006. "Finitely repeated games: A generalized Nash folk theorem," Games and Economic Behavior, Elsevier, vol. 55(1), pages 100-111, April.
    4. Ghislain-Herman Demeze-Jouatsa, 2020. "A complete folk theorem for finitely repeated games," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(4), pages 1129-1142, December.
    5. Pablo Casas-Arce, 2004. "Layoffs and Quits in Repeated Games," Economics Series Working Papers 199, University of Oxford, Department of Economics.
    6. Miyahara, Yasuyuki & Sekiguchi, Tadashi, 2013. "Finitely repeated games with monitoring options," Journal of Economic Theory, Elsevier, vol. 148(5), pages 1929-1952.
    7. Pablo Casas-Arce, 2010. "Dismissals and quits in repeated games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(1), pages 67-80, April.
    8. Chen, Bo & Takahashi, Satoru, 2012. "A folk theorem for repeated games with unequal discounting," Games and Economic Behavior, Elsevier, vol. 76(2), pages 571-581.
    9. Quan Wen, 2002. "Repeated Games with Asynchronous Moves," Vanderbilt University Department of Economics Working Papers 0204, Vanderbilt University Department of Economics.
    10. Contou-Carrère, Pauline & Tomala, Tristan, 2011. "Finitely repeated games with semi-standard monitoring," Journal of Mathematical Economics, Elsevier, vol. 47(1), pages 14-21, January.
    11. David Levine, 2000. "The Castle on the Hill," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(2), pages 330-337, April.
    12. Goldlücke, Susanne & Kranz, Sebastian, 2012. "Infinitely repeated games with public monitoring and monetary transfers," Journal of Economic Theory, Elsevier, vol. 147(3), pages 1191-1221.
    13. Nobel Prize Committee, 2005. "Robert Aumann's and Thomas Schelling's Contributions to Game Theory: Analyses of Conflict and Cooperation," Nobel Prize in Economics documents 2005-1, Nobel Prize Committee.
    14. Laclau, M., 2013. "Repeated games with local monitoring and private communication," Economics Letters, Elsevier, vol. 120(2), pages 332-337.
    15. repec:kbb:dpaper:2011-44 is not listed on IDEAS
    16. Mitri Kitti, 2014. "Equilibrium Payoffs for Pure Strategies in Repeated Games," Discussion Papers 98, Aboa Centre for Economics.
    17. Luca Anderlini & Dino Gerardi & Roger Lagunoff, 2008. "A “Super” Folk Theorem for dynastic repeated games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(3), pages 357-394, December.
    18. Dasgupta, Ani & Ghosh, Sambuddha, 2022. "Self-accessibility and repeated games with asymmetric discounting," Journal of Economic Theory, Elsevier, vol. 200(C).
    19. Kimmo Berg & Markus Kärki, 2018. "Critical Discount Factor Values in Discounted Supergames," Games, MDPI, vol. 9(3), pages 1-17, July.
    20. Tóbiás, Áron, 2023. "Rational Altruism," Journal of Economic Behavior & Organization, Elsevier, vol. 207(C), pages 50-80.
    21. Asen Kochov & Yangwei Song, 2025. "The Folk Theorem with Endogenous Discounting and Unobserved Mixtures," CESifo Working Paper Series 12066, CESifo.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:bie:wpaper:583. 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: Bettina Weingarten (email available below). General contact details of provider: https://edirc.repec.org/data/imbiede.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.