IDEAS home Printed from https://ideas.repec.org/a/wly/emetrp/v88y2020i3p917-964.html
   My bibliography  Save this article

The Folk Theorem in Repeated Games With Anonymous Random Matching

Author

Listed:
  • Joyee Deb
  • Takuo Sugaya
  • Alexander Wolitzky

Abstract

We prove the folk theorem for discounted repeated games with anonymous random matching. We allow non‐uniform matching, include asymmetric payoffs, and place no restrictions on the stage game other than full dimensionality. No record‐keeping or communication devices—including cheap talk communication and public randomization—are necessary.

Suggested Citation

  • 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.
    • Handle: RePEc:wly:emetrp:v:88:y:2020:i:3:p:917-964
    DOI: 10.3982/ECTA16680
    as

    Download full text from publisher

    File URL: https://doi.org/10.3982/ECTA16680
    Download Restriction: no
    File URL: https://libkey.io/10.3982/ECTA16680?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
    ---><---

    References listed on IDEAS

    as
    1. Fudenberg, Drew & Ishii, Yuhta & Kominers, Scott Duke, 2014. "Delayed-response strategies in repeated games with observation lags," Journal of Economic Theory, Elsevier, vol. 150(C), pages 487-514.
    2. Deb, Joyee & González-Díaz, Julio & Renault, Jérôme, 2016. "Uniform folk theorems in repeated anonymous random matching games," Games and Economic Behavior, Elsevier, vol. 100(C), pages 1-23.
    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. Johannes Hörner & Wojciech Olszewski, 2006. "The Folk Theorem for Games with Private Almost-Perfect Monitoring," Econometrica, Econometric Society, vol. 74(6), pages 1499-1544, November.
    5. Kocherlakota, Narayana R., 1998. "Money Is Memory," Journal of Economic Theory, Elsevier, vol. 81(2), pages 232-251, August.
    6. Dinah Rosenberg & Eilon Solan & Nicolas Vieille, 2000. "Blackwell Optimality in Markov Decision Processes with Partial Observation," Discussion Papers 1292, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    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. Ely, Jeffrey C. & Valimaki, Juuso, 2002. "A Robust Folk Theorem for the Prisoner's Dilemma," Journal of Economic Theory, Elsevier, vol. 102(1), pages 84-105, January.
    9. Kiyotaki, Nobuhiro & Wright, Randall, 1989. "On Money as a Medium of Exchange," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 927-954, August.
    10. 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..
    11. repec:hal:pseose:halshs-01109156 is not listed on IDEAS
    12. Padilla, A. Jorge & Pagano, Marco, 2000. "Sharing default information as a borrower discipline device," European Economic Review, Elsevier, vol. 44(10), pages 1951-1980, December.
    13. 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.
    14. Hörner, Johannes & Takahashi, Satoru, 2016. "How fast do equilibrium payoff sets converge in repeated games?," Journal of Economic Theory, Elsevier, vol. 165(C), pages 332-359.
    15. Nava, Francesco & Piccione, Michele, 2014. "Efficiency in repeated games with local interaction and uncertain local monitoring," LSE Research Online Documents on Economics 56218, London School of Economics and Political Science, LSE Library.
    16. Yuichi Yamamoto, 2012. "Characterizing Belief-Free Review-Strategy Equilibrium Payoffs under ConditionalIndependence," PIER Working Paper Archive 12-005, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    17. Laclau, M., 2014. "Communication in repeated network games with imperfect monitoring," Games and Economic Behavior, Elsevier, vol. 87(C), pages 136-160.
    18. Piccione, Michele, 2002. "The Repeated Prisoner's Dilemma with Imperfect Private Monitoring," Journal of Economic Theory, Elsevier, vol. 102(1), pages 70-83, January.
    19. 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.
    20. , & ,, 2014. "Efficiency in repeated games with local interaction and uncertain local monitoring," Theoretical Economics, Econometric Society, vol. 9(1), January.
    21. Wolitzky, Alexander, 2015. "Communication with tokens in repeated games on networks," Theoretical Economics, Econometric Society, vol. 10(1), January.
    22. Greif, Avner, 1993. "Contract Enforceability and Economic Institutions in Early Trade: the Maghribi Traders' Coalition," American Economic Review, American Economic Association, vol. 83(3), pages 525-548, June.
    23. Hitoshi Matsushima, 2004. "Repeated Games with Private Monitoring: Two Players," Econometrica, Econometric Society, vol. 72(3), pages 823-852, May.
    24. Takahashi, Satoru, 2010. "Community enforcement when players observe partners' past play," Journal of Economic Theory, Elsevier, vol. 145(1), pages 42-62, January.
    25. Charalambos D Aliprantis & Gabriele Camera & Daniela Puzzello, 2007. "Contagion Equilibria in a Monetary Model," Econometrica, Econometric Society, vol. 75(1), pages 277-282, January.
    26. Laclau, Marie, 2012. "A folk theorem for repeated games played on a network," Games and Economic Behavior, Elsevier, vol. 76(2), pages 711-737.
    27. Araujo, Luis, 2004. "Social norms and money," Journal of Monetary Economics, Elsevier, vol. 51(2), pages 241-256, March.
    28. Jan Eeckhout, 2006. "Minorities and Endogenous Segregation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(1), pages 31-53.
    29. Yamamoto, Yuichi, 2012. "Characterizing belief-free review-strategy equilibrium payoffs under conditional independence," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1998-2027.
    30. Kiyotaki, Nobuhiro & Wright, Randall, 1993. "A Search-Theoretic Approach to Monetary Economics," American Economic Review, American Economic Association, vol. 83(1), pages 63-77, March.
    31. Greif, Avner & Milgrom, Paul & Weingast, Barry R, 1994. "Coordination, Commitment, and Enforcement: The Case of the Merchant Guild," Journal of Political Economy, University of Chicago Press, vol. 102(4), pages 745-776, August.
    32. Michihiro Kandori, 1992. "Social Norms and Community Enforcement," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(1), pages 63-80.
    33. Michihiro Kandori & Hitoshi Matsushima, 1998. "Private Observation, Communication and Collusion," Econometrica, Econometric Society, vol. 66(3), pages 627-652, May.
    34. 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.
    35. Drew Fudenberg & Yuichi Yamamoto, 2010. "Repeated Games Where the Payoffs and Monitoring Structure Are Unknown," Econometrica, Econometric Society, vol. 78(5), pages 1673-1710, September.
    36. Joyee Deb, 2020. "Cooperation and Community Responsibility," Journal of Political Economy, University of Chicago Press, vol. 128(5), pages 1976-2009.
    37. Eric J. Friedman* & Paul Resnick, 2001. "The Social Cost of Cheap Pseudonyms," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 10(2), pages 173-199, June.
    38. 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. S. Nageeb Ali & David A. Miller, 2020. "Communication and Cooperation in Markets," Papers 2005.09839, arXiv.org.
    2. Takuo Sugaya, 2022. "Folk Theorem in Repeated Games with Private Monitoring," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 89(4), pages 2201-2256.
    3. Parikshit Ghosh & Debraj Ray, 2023. "The Social Equilibrium of Relational Arrangements," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 179(3-4), pages 579-615.
    4. Sawa, Ryoji, 2021. "A stochastic stability analysis with observation errors in normal form games," Games and Economic Behavior, Elsevier, vol. 129(C), pages 570-589.
    5. Liu, Ce, 2023. "Stability in repeated matching markets," Theoretical Economics, Econometric Society, vol. 18(4), November.
    6. Sugaya, Takuo & Wolitzky, Alexander, 2023. "Bad apples in symmetric repeated games," Theoretical Economics, Econometric Society, vol. 18(4), November.

    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. Filip Vesely & Chun-Lei Yang, 2013. "On Optimal Social Convention in Voluntary Continuation Prisoner's Dilemma Games," CESifo Working Paper Series 4553, CESifo.
    2. Yuichi Yamamoto, 2013. "Individual Learning and Cooperation in Noisy Repeated Games," PIER Working Paper Archive 13-038, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    3. Heller, Yuval, 2015. "Instability of Equilibria with Imperfect Private Monitoring," MPRA Paper 64468, University Library of Munich, Germany.
    4. repec:pra:mprapa:64485 is not listed on IDEAS
    5. Yuichi Yamamoto, 2012. "Individual Learning and Cooperation in Noisy Repeated Games," PIER Working Paper Archive 12-044, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    6. Heller, Yuval, 2017. "Instability of belief-free equilibria," Journal of Economic Theory, Elsevier, vol. 168(C), pages 261-286.
    7. Sugaya, Takuo & Yamamoto, Yuichi, 2020. "Common learning and cooperation in repeated games," Theoretical Economics, Econometric Society, vol. 15(3), July.
    8. Daron Acemoglu & Alexander Wolitzky, 2015. "Sustaining Cooperation: Community Enforcement vs. Specialized Enforcement," NBER Working Papers 21457, National Bureau of Economic Research, Inc.
    9. Daniel Monte & Roberto Pinheiro, 2017. "Costly Information Intermediation: Quality vs. Spillovers," Working Papers 17-21R2, Federal Reserve Bank of Cleveland, revised 05 Dec 2024.
    10. Takako Fujiwara‐Greve & Henrich R. Greve & Stefan Jonsson, 2016. "Asymmetry Of Customer Loss And Recovery Under Endogenous Partnerships: Theory And Evidence," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 57(1), pages 3-30, February.
    11. 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.
    12. Joyee Deb, 2008. "Cooperation and Community Responsibility: A Folk Theorem for Repeated Matching Games with Names," Working Papers 08-24, New York University, Leonard N. Stern School of Business, Department of Economics.
    13. 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.
    14. Fainmesser, Itay P. & Goldberg, David A., 2018. "Cooperation in partly observable networked markets," Games and Economic Behavior, Elsevier, vol. 107(C), pages 220-237.
    15. Deb, Joyee & Gonzalez-Diaz, Julio, 2019. "Enforcing social norms: Trust-building and community enforcement," Theoretical Economics, Econometric Society, vol. 14(4), November.
    16. 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.
    17. 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.
    18. 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.
    19. W. Bentley MacLeod, 2006. "Reputations, Relationships and the Enforcement of Incomplete Contracts," CESifo Working Paper Series 1730, CESifo.
    20. Guilherme Carmona, 2021. "On the optimality of monetary trading," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(3), pages 1121-1160, April.
    21. Yamamoto, Yuichi, 2009. "A limit characterization of belief-free equilibrium payoffs in repeated games," Journal of Economic Theory, Elsevier, vol. 144(2), pages 802-824, March.

    More about this item

    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:wly:emetrp:v:88:y:2020:i:3:p:917-964. 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: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/essssea.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.