IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v74y2012i2p504-516.html
   My bibliography  Save this article

Voluntarily separable repeated Prisonerʼs Dilemma with reference letters

Author

Listed:
  • Fujiwara-Greve, Takako
  • Okuno-Fujiwara, Masahiro
  • Suzuki, Nobue

Abstract

We consider the voluntarily separable repeated Prisonerʼs Dilemma model in which players randomly meet and form pairs to repeatedly play Prisonerʼs Dilemma only by mutual agreement. While the literature has dealt with the case of no information flow across partnerships, we consider the case in which players can issue a “reference letter” to verify at least that the partnership entered the cooperation phase. We show that such reference letters can be voluntarily provided by the partners even at some cost, and that the sheer existence of a letter shortens the trust-building periods and thus improves social efficiency.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:gamebe:v:74:y:2012:i:2:p:504-516
    DOI: 10.1016/j.geb.2011.08.019
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0899825611001473
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.geb.2011.08.019?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

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

    References listed on IDEAS

    as
    1. 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.
    2. Gibbons, Robert & Katz, Lawrence F, 1991. "Layoffs and Lemons," Journal of Labor Economics, University of Chicago Press, vol. 9(4), pages 351-380, October.
    3. Paul R. Milgrom & Douglass C. North & Barry R. Weingast*, 1990. "The Role Of Institutions In The Revival Of Trade: The Law Merchant, Private Judges, And The Champagne Fairs," Economics and Politics, Wiley Blackwell, vol. 2(1), pages 1-23, March.
    4. Lazear, Edward P, 1981. "Agency, Earnings Profiles, Productivity, and Hours Restrictions," American Economic Review, American Economic Association, vol. 71(4), pages 606-620, September.
    5. Michihiro Kandori, 1992. "The Use of Information in Repeated Games with Imperfect Monitoring," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(3), pages 581-593.
    6. 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.
    7. 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.
    8. Miyagawa, Eiichi & Miyahara, Yasuyuki & Sekiguchi, Tadashi, 2008. "The folk theorem for repeated games with observation costs," Journal of Economic Theory, Elsevier, vol. 139(1), pages 192-221, March.
    9. Parikshit Ghosh & Debraj Ray, 1996. "Cooperation in Community Interaction Without Information Flows," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(3), pages 491-519.
    10. Ben-Porath, Elchanan & Kahneman, Michael, 2003. "Communication in repeated games with costly monitoring," Games and Economic Behavior, Elsevier, vol. 44(2), pages 227-250, August.
    11. 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.
    12. Flesch, János & Perea, Andrés, 2009. "Repeated games with voluntary information purchase," Games and Economic Behavior, Elsevier, vol. 66(1), pages 126-145, May.
    13. Okuno-Fujiwara Masahiro & Postlewaite Andrew, 1995. "Social Norms and Random Matching Games," Games and Economic Behavior, Elsevier, vol. 9(1), pages 79-109, April.
    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. 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.
    16. 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)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Jonathan Newton, 2018. "Evolutionary Game Theory: A Renaissance," Games, MDPI, vol. 9(2), pages 1-67, May.
    2. Yu Awaya & Hiroki Fukai & Makoto Watanabe, 2017. "A Model of Collateral," CESifo Working Paper Series 6731, CESifo.
    3. 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.
    4. Yasar, Alperen, 2023. "Power struggles and gender discrimination in the workplace," SocArXiv t4g83, Center for Open Science.

    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. W. Bentley MacLeod, 2006. "Reputations, Relationships and the Enforcement of Incomplete Contracts," CESifo Working Paper Series 1730, CESifo.
    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. Bester, Helmut & Sákovics, József, 2024. "Cooperation, competition, and welfare in a matching market," Games and Economic Behavior, Elsevier, vol. 143(C), pages 357-369.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. Goeschl, Timo & Jarke, Johannes, 2014. "Trust, but verify? When trustworthiness is observable only through (costly) monitoring," WiSo-HH Working Paper Series 20, University of Hamburg, Faculty of Business, Economics and Social Sciences, WISO Research Laboratory.
    9. Balmaceda, Felipe & Escobar, Juan F., 2017. "Trust in cohesive communities," Journal of Economic Theory, Elsevier, vol. 170(C), pages 289-318.
    10. Christopher Graser & Takako Fujiwara-Greve & Julian García & Matthijs van Veelen, 2024. "Repeated games with partner choice," Tinbergen Institute Discussion Papers 24-038/I, Tinbergen Institute.
    11. 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.
    12. Matthias Fahn & Takeshi Murooka, 2022. "Informal Incentives and Labor Markets," CESifo Working Paper Series 9740, CESifo.
    13. Fahn, Matthias & Murooka, Takeshi, 2024. "Informal Incentives and Labor Markets," IZA Discussion Papers 17042, Institute of Labor Economics (IZA).
    14. Yuval Heller & Erik Mohlin, 2018. "Observations on Cooperation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(4), pages 2253-2282.
    15. Pin, Paolo & Rogers, Brian W., 2015. "Cooperation, punishment and immigration," Journal of Economic Theory, Elsevier, vol. 160(C), pages 72-101.
    16. Felipe Balmaceda, 2004. "Network Formation and Cooperation," Econometric Society 2004 Latin American Meetings 208, Econometric Society.
    17. Jan Eeckhout, "undated". "Competing Norms of Cooperation," Penn CARESS Working Papers fa8d3cedc3b97259070110325, Penn Economics Department.
    18. Clemens Buchen, 2023. "Institutional reform paths," Economics and Politics, Wiley Blackwell, vol. 35(3), pages 1099-1121, November.
    19. Goeschl, Timo & Jarke, Johannes, 2017. "Trust, but verify? Monitoring, inspection costs, and opportunism under limited observability," Journal of Economic Behavior & Organization, Elsevier, vol. 142(C), pages 320-330.
    20. 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.

    More about this item

    Keywords

    Voluntary separation; Prisonerʼs Dilemma; Cooperation; Information; Random matching;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

    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:eee:gamebe:v:74:y:2012:i:2:p:504-516. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622836 .

    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.