IDEAS home Printed from https://ideas.repec.org/a/kea/keappr/ker-20121231-28-2-02.html
   My bibliography  Save this article

Ability-based Cooperation in a Prisoner’s Dilemma Game

Author

Listed:
  • Hanjoon Michael Jung

    (The Institute of Economics)

Abstract

This paper studies the possibility of whole population cooperation based on different abilities of players. Consider the following infinitely repeated game, similar to Ghosh and Ray (1996). At each stage, uncountable numbers of players, who are randomly matched without information about their partners’ past actions, play a prisoner’s dilemma game. The players have the option to continue their relationship, and they all have the same discount factor. Also, they have two possible types: high ability player (H) or low ability player (L). H can produce better outcomes for his partner as well as for himself than L can. We look for an equilibrium that is robust against both pair-wise deviation and individual deviation, and call such equilibrium a social equilibrium. In this setting, long-term cooperative behavior among the whole population can take place in a social equilibrium because of the players’ preference for their partners’ ability. In addition, a folk theorem of this model is proposed.

Suggested Citation

  • Hanjoon Michael Jung, 2012. "Ability-based Cooperation in a Prisoner’s Dilemma Game," Korean Economic Review, Korean Economic Association, vol. 28, pages 137-160.
    • Handle: RePEc:kea:keappr:ker-20121231-28-2-02
    as

    Download full text from publisher

    File URL: http://keapaper.kea.ne.kr/RePEc/kea/keappr/KER-20121231-28-2-02.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Robson, Arthur J. & Vega-Redondo, Fernando, 1996. "Efficient Equilibrium Selection in Evolutionary Games with Random Matching," Journal of Economic Theory, Elsevier, vol. 70(1), pages 65-92, July.
    2. Bose, Gautam, 1996. "Bargaining Economies with Patient and Impatient Agents: Equilibria and Intermediation," Games and Economic Behavior, Elsevier, vol. 14(2), pages 149-172, June.
    3. Takako Fujiwara-Greve & Masahiro Okuno-Fujiwara, 2009. "Voluntarily Separable Repeated Prisoner's Dilemma," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(3), pages 993-1021.
    4. 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.
    5. Chun-Lei Yang & Ching-Syang Jack Yue & I-Tang Yu, 2007. "The rise of cooperation in correlated matching prisoners dilemma: An experiment," Experimental Economics, Springer;Economic Science Association, vol. 10(1), pages 3-20, March.
    6. Outkin, Alexander V., 2003. "Cooperation and local interactions in the Prisoners' Dilemma Game," Journal of Economic Behavior & Organization, Elsevier, vol. 52(4), pages 481-503, December.
    7. Jan Eeckhout, 2006. "Minorities and Endogenous Segregation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(1), pages 31-53.
    8. 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..
    9. 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.
    10. Watson, Joel, 1999. "Starting Small and Renegotiation," Journal of Economic Theory, Elsevier, vol. 85(1), pages 52-90, 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. 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.
    2. 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.
    3. 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.
    4. Pin, Paolo & Rogers, Brian W., 2015. "Cooperation, punishment and immigration," Journal of Economic Theory, Elsevier, vol. 160(C), pages 72-101.
    5. Tom Potoms & Tom Truyts, 2020. "Unhappy is the land without symbols - Group symbols in infinitely repeated public good games," Working Paper Series 1720, Department of Economics, University of Sussex Business School.
    6. Filip Vesely & Chun-Lei Yang, 2013. "On Optimal Social Convention in Voluntary Continuation Prisoner's Dilemma Games," CESifo Working Paper Series 4553, CESifo.
    7. Wei, Dong, 2019. "A model of trust building with anonymous re-matching," Journal of Economic Behavior & Organization, Elsevier, vol. 158(C), pages 311-327.
    8. Kartal, Melis & Müller, Wieland & Tremewan, James, 2021. "Building trust: The costs and benefits of gradualism," Games and Economic Behavior, Elsevier, vol. 130(C), pages 258-275.
    9. Sperisen, Benjamin & Wiseman, Thomas, 2020. "Too good to fire: Non-assortative matching to play a dynamic game," Games and Economic Behavior, Elsevier, vol. 124(C), pages 491-511.
    10. David McAdams, 2011. "Performance and Turnover in a Stochastic Partnership," American Economic Journal: Microeconomics, American Economic Association, vol. 3(4), pages 107-142, November.
    11. 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.
    12. Fischer, Christian, 2020. "Optimal payment contracts in trade relationships," MPRA Paper 101956, University Library of Munich, Germany.
    13. Hua, Xiameng & Watson, Joel, 2022. "Starting small in project choice: A discrete-time setting with a continuum of types," Journal of Economic Theory, Elsevier, vol. 204(C).
    14. Joel Watson, 2021. "Theoretical Foundations of Relational Incentive Contracts," Annual Review of Economics, Annual Reviews, vol. 13(1), pages 631-659, August.
    15. Takako Fujiwara-Greve & Masahiro Okuno-Fujiwara, 2009. "Voluntarily Separable Repeated Prisoner's Dilemma," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(3), pages 993-1021.
    16. Takashi Kamihigashi & Taiji Furusawa, 2007. "Global Dynamics in Infinitely Repeated Games with Additively Separable Continuous Payoffs," Discussion Paper Series 210, Research Institute for Economics & Business Administration, Kobe University.
    17. Christian Fischer‐Thöne, 2023. "Optimal Payment Contracts In Trade Relationships," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 64(4), pages 1649-1683, November.
    18. 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.
    19. 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.
    20. Schumacher, Heiner, 2013. "Imitating cooperation and the formation of long-term relationships," Journal of Economic Theory, Elsevier, vol. 148(1), pages 409-417.

    More about this item

    Keywords

    Folk theorem; Random-matching; Social equilibrium; Type-based payoffs;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

    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:kea:keappr:ker-20121231-28-2-02. 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: KEA (email available below). General contact details of provider: https://edirc.repec.org/data/keaaaea.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.