IDEAS home Printed from https://ideas.repec.org/p/tky/fseres/2008cf599.html
   My bibliography  Save this paper

Voluntarily Separable Repeated Prisoner's Dilemma

Author

Listed:
  • Takako Fujiwara-Greve

    (Faculty of Economics, Keio University)

  • Masahiro Okuno-Fujiwara

    (Faculty of Economics, University of Tokyo)

Abstract

Ordinary repeated games do not apply to real societies where one can cheat and escape from partners. We formulate a model of endogenous relationships that a player can unilaterally end and start with a randomly-assigned new partner with no information flow. Focusing on two-person, two-action Prisoner's Dilemma, we show that the endogenous duration of partnerships generates a significantly different evolutionary stability structure from ordinary random matching games. Monomorphic equilibria require initial trust-building, while a polymorphic equilibrium includes earlier cooperators than any strategy in monomorphic equilibria and is thus more efficient. This is due to the nonlinearity of average payoffs.Length: 37pages

Suggested Citation

  • Takako Fujiwara-Greve & Masahiro Okuno-Fujiwara, 2008. "Voluntarily Separable Repeated Prisoner's Dilemma," CIRJE F-Series CIRJE-F-599, CIRJE, Faculty of Economics, University of Tokyo.
    • Handle: RePEc:tky:fseres:2008cf599
    as

    Download full text from publisher

    File URL: http://www.cirje.e.u-tokyo.ac.jp/research/dp/2008/2008cf599.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    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. Watson, Joel, 2002. "Starting Small and Commitment," Games and Economic Behavior, Elsevier, vol. 38(1), pages 176-199, January.
    3. Abreu, Dilip & Sethi, Rajiv, 2003. "Evolutionary stability in a reputational model of bargaining," Games and Economic Behavior, Elsevier, vol. 44(2), pages 195-216, August.
    4. Rafael Rob & Huanxing Yang, 2010. "Long-term relationships as safeguards," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(2), pages 143-166, May.
    5. Carmichael, H Lorne & MacLeod, W Bentley, 1997. "Gift Giving and the Evolution of Cooperation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(3), pages 485-509, August.
    6. Glenn Ellison, 1994. "Cooperation in the Prisoner's Dilemma with Anonymous Random Matching," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(3), pages 567-588.
    7. Kranton, Rachel E, 1996. "Reciprocal Exchange: A Self-Sustaining System," American Economic Review, American Economic Association, vol. 86(4), pages 830-851, September.
    8. Okuno-Fujiwara, Masahiro & Fujiwara-Greve, Takako & Suzuki, Nobue, 2007. "Social Norms and Voluntary Cooperation," Economic Review, Hitotsubashi University, vol. 58(2), pages 110-121, April.
    9. Furusawa, Taiji & Kawakami, Toshikazu, 2008. "Gradual cooperation in the existence of outside options," Journal of Economic Behavior & Organization, Elsevier, vol. 68(2), pages 378-389, November.
    10. Shapiro, Carl & Stiglitz, Joseph E, 1984. "Equilibrium Unemployment as a Worker Discipline Device," American Economic Review, American Economic Association, vol. 74(3), pages 433-444, June.
    11. Masahiro Okuno-Fujiwara & Takako Fujiwara-Greve & Nobue Suzuki, 2007. ""Social Norms and Voluntary Cooperations"(in Japanese)," CIRJE J-Series CIRJE-J-172, CIRJE, Faculty of Economics, University of Tokyo.
    12. Jan Eeckhout, 2006. "Minorities and Endogenous Segregation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(1), pages 31-53.
    13. Okuno-Fujiwara, Masahiro, 1987. "Monitoring cost, agency relationships, and equilibrium modes of labor contracts," Journal of the Japanese and International Economies, Elsevier, vol. 1(2), pages 147-167, June.
    14. Michihiro Kandori, 1992. "Social Norms and Community Enforcement," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(1), pages 63-80.
    15. Kranton, Rachel E, 1996. "The Formation of Cooperative Relationships," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 12(1), pages 214-233, April.
    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. Takako Fujiwara-Greve & Masahiro Okuno-Fujiwara, 2006. "Voluntarily Separable Prisoner's Dilemma," CIRJE F-Series CIRJE-F-415, CIRJE, Faculty of Economics, University of Tokyo.
    2. Filip Vesely & Chun-Lei Yang, 2013. "On Optimal Social Convention in Voluntary Continuation Prisoner's Dilemma Games," CESifo Working Paper Series 4553, CESifo.
    3. Rafael Rob & Huanxing Yang, 2010. "Long-term relationships as safeguards," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(2), pages 143-166, May.
    4. Takako Fujiwara-Greve & Masahiro Okuno-Fujiwara & Nobue Suzuki, 2015. "Efficiency may improve when defectors exist," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(3), pages 423-460, November.
    5. Joyee Deb & Takuo Sugaya & Alexander Wolitzky, 2020. "The Folk Theorem in Repeated Games With Anonymous Random Matching," Econometrica, Econometric Society, vol. 88(3), pages 917-964, May.
    6. Fujiwara-Greve, Takako & Okuno-Fujiwara, Masahiro & Suzuki, Nobue, 2012. "Voluntarily separable repeated Prisonerʼs Dilemma with reference letters," Games and Economic Behavior, Elsevier, vol. 74(2), pages 504-516.
    7. Takako Fujiwara-Greve & Masahiro Okuno-Fujiwara, 2013. "Diverse Behavior Patterns in a Symmetric Society with Voluntary Partnerships," Working Papers e062, Tokyo Center for Economic Research.
    8. W. Bentley MacLeod, 2006. "Reputations, Relationships and the Enforcement of Incomplete Contracts," CESifo Working Paper Series 1730, CESifo.
    9. Takako Fujiwara-Greve & Masahiro Okuno-Fujiwara & Nobue Suzuki, 2010. "Voluntarily Separable Repeated Games with Social Norms," CIRJE F-Series CIRJE-F-715, CIRJE, Faculty of Economics, University of Tokyo.
    10. Fahn, Matthias & Murooka, Takeshi, 2024. "Informal Incentives and Labor Markets," IZA Discussion Papers 17042, Institute of Labor Economics (IZA).
    11. Pin, Paolo & Rogers, Brian W., 2015. "Cooperation, punishment and immigration," Journal of Economic Theory, Elsevier, vol. 160(C), pages 72-101.
    12. Felipe Balmaceda, 2004. "Network Formation and Cooperation," Econometric Society 2004 Latin American Meetings 208, Econometric Society.
    13. Takako Fujiwara-Greve & Masahiro Okuno-Fujiwara & Nobue Suzuki, 2008. "Voluntarily Separable Prisoner's Dilemma with Reference Letters," CIRJE F-Series CIRJE-F-551, CIRJE, Faculty of Economics, University of Tokyo.
    14. David McAdams, 2011. "Performance and Turnover in a Stochastic Partnership," American Economic Journal: Microeconomics, American Economic Association, vol. 3(4), pages 107-142, November.
    15. Rauch, James E. & Watson, Joel, 2003. "Starting small in an unfamiliar environment," International Journal of Industrial Organization, Elsevier, vol. 21(7), pages 1021-1042, September.
    16. James M. Malcomson, 2012. "Relational Incentive Contracts [The Handbook of Organizational Economics]," Introductory Chapters,, Princeton University Press.
    17. Bester, Helmut & Sákovics, József, 2024. "Cooperation, competition, and welfare in a matching market," Games and Economic Behavior, Elsevier, vol. 143(C), pages 357-369.
    18. Felipe Balmaceda, 2005. "Cooperation and Network Formation," Documentos de Trabajo 205, Centro de Economía Aplicada, Universidad de Chile.
    19. Vincenzo Scoppa, 2003. "Contratti incompleti ed enforcement endogeno. Una rassegna della letteratura," Economia politica, Società editrice il Mulino, issue 3, pages 391-440.
    20. Daron Acemoglu & Alexander Wolitzky, 2015. "Sustaining Cooperation: Community Enforcement vs. Specialized Enforcement," Levine's Bibliography 786969000000001179, UCLA Department of Economics.

    More about this item

    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:tky:fseres:2008cf599. 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: CIRJE administrative office (email available below). General contact details of provider: https://edirc.repec.org/data/ritokjp.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.