IDEAS home Printed from https://ideas.repec.org/a/spr/joecth/v60y2015i1p1-34.html
   My bibliography  Save this article

Efficient outcomes in repeated games with limited monitoring

Author

Listed:
  • Mihaela Schaar
  • Yuanzhang Xiao
  • William Zame

Abstract

The folk theorem for infinitely repeated games with imperfect public monitoring implies that for a general class of games, nearly efficient payoffs can be supported in perfect public equilibrium (PPE), provided the monitoring structure is sufficiently rich and players are arbitrarily patient. This paper shows that for stage games in which actions of players interfere strongly with each other, exactly efficient payoffs can be supported in PPE even when the monitoring structure is not rich and players are not arbitrarily patient. The class of stage games we study abstracts many environments including resource sharing. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Mihaela Schaar & Yuanzhang Xiao & William Zame, 2015. "Efficient outcomes in repeated games with limited monitoring," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(1), pages 1-34, September.
  • Handle: RePEc:spr:joecth:v:60:y:2015:i:1:p:1-34
    DOI: 10.1007/s00199-015-0893-8
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00199-015-0893-8
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s00199-015-0893-8?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. Drew Fudenberg & David K. Levine & Satoru Takahashi, 2008. "Perfect public equilibrium when players are patient," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 16, pages 345-367, World Scientific Publishing Co. Pte. Ltd..
    2. Athey, Susan & Bagwell, Kyle, 2001. "Optimal Collusion with Private Information," RAND Journal of Economics, The RAND Corporation, vol. 32(3), pages 428-465, Autumn.
    3. Roy Radner & Roger Myerson & Eric Maskin, 1986. "An Example of a Repeated Partnership Game with Discounting and with Uniformly Inefficient Equilibria," Review of Economic Studies, Oxford University Press, vol. 53(1), pages 59-69.
    4. Mailath, George J. & Obara, Ichiro & Sekiguchi, Tadashi, 2002. "The Maximum Efficient Equilibrium Payoff in the Repeated Prisoners' Dilemma," Games and Economic Behavior, Elsevier, vol. 40(1), pages 99-122, July.
    5. Drew Fudenberg & David Levine & Eric Maskin, 2008. "The Folk Theorem With Imperfect Public Information," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 12, pages 231-273, World Scientific Publishing Co. Pte. Ltd..
    6. Abreu, Dilip & Pearce, David & Stacchetti, Ennio, 1990. "Toward a Theory of Discounted Repeated Games with Imperfect Monitoring," Econometrica, Econometric Society, vol. 58(5), pages 1041-1063, September.
    7. Green, Edward J & Porter, Robert H, 1984. "Noncooperative Collusion under Imperfect Price Information," Econometrica, Econometric Society, vol. 52(1), pages 87-100, January.
    8. Michihiro Kandori, 1992. "The Use of Information in Repeated Games with Imperfect Monitoring," Review of Economic Studies, Oxford University Press, vol. 59(3), pages 581-593.
    9. Mihaela van der Schaar & Yuanzhang Xiao & William Zame, 2013. "Designing Efficient Resource Sharing For Impatient Players Using Limited Monitoring," EIEF Working Papers Series 1320, Einaudi Institute for Economics and Finance (EIEF), revised Aug 2013.
    10. Mailath, George J. & Samuelson, Larry, 2006. "Repeated Games and Reputations: Long-Run Relationships," OUP Catalogue, Oxford University Press, number 9780195300796.
    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. He, Yong & Zhao, Xuan & Krishnan, Harish & Jin, Shibo, 2022. "Cooperation among suppliers of complementary products in repeated interactions," International Journal of Production Economics, Elsevier, vol. 252(C).

    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. Fudenberg, Drew & Yamamoto, Yuichi, 2011. "Learning from private information in noisy repeated games," Journal of Economic Theory, Elsevier, vol. 146(5), pages 1733-1769, September.
    2. Laclau, Marie & Tomala, Tristan, 2017. "Repeated games with public deterministic monitoring," Journal of Economic Theory, Elsevier, vol. 169(C), pages 400-424.
    3. Eduardo Monteiro & Humberto Moreira, 2006. "Effciency In Two Player Repeated Games Of Imperfect Monitoring," Anais do XXXIV Encontro Nacional de Economia [Proceedings of the 34th Brazilian Economics Meeting] 113, ANPEC - Associação Nacional dos Centros de Pós-Graduação em Economia [Brazilian Association of Graduate Programs in Economics].
    4. Mihaela van der Schaar & Yuanzhang Xiao & William Zame, 2013. "Designing Efficient Resource Sharing For Impatient Players Using Limited Monitoring," EIEF Working Papers Series 1320, Einaudi Institute for Economics and Finance (EIEF), revised Aug 2013.
    5. Bhaskar, V. & van Damme, Eric, 2002. "Moral Hazard and Private Monitoring," Journal of Economic Theory, Elsevier, vol. 102(1), pages 16-39, January.
    6. 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.
    7. Escobar, Juan F. & Llanes, Gastón, 2018. "Cooperation dynamics in repeated games of adverse selection," Journal of Economic Theory, Elsevier, vol. 176(C), pages 408-443.
    8. Tomala, Tristan, 2009. "Perfect communication equilibria in repeated games with imperfect monitoring," Games and Economic Behavior, Elsevier, vol. 67(2), pages 682-694, November.
    9. 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.
    10. Gary-Bobo, Robert J. & Jaaidane, Touria, 2014. "Strikes and slowdown in a theory of relational contracts," European Journal of Political Economy, Elsevier, vol. 36(C), pages 89-116.
    11. Kobayashi, Hajime & Ohta, Katsunori, 2012. "Optimal collusion under imperfect monitoring in multimarket contact," Games and Economic Behavior, Elsevier, vol. 76(2), pages 636-647.
    12. Yu Awaya & Vijay Krishna, 2020. "Information exchange in cartels," RAND Journal of Economics, RAND Corporation, vol. 51(2), pages 421-446, June.
    13. Aperjis, Christina & Zeckhauser, Richard J. & Miao, Yali, 2014. "Variable temptations and black mark reputations," Games and Economic Behavior, Elsevier, vol. 87(C), pages 70-90.
    14. Wilson, Alistair J. & Wu, Hong, 2017. "At-will relationships: How an option to walk away affects cooperation and efficiency," Games and Economic Behavior, Elsevier, vol. 102(C), pages 487-507.
    15. Ariane Lambert-Mogiliansky & Grigory Kosenok, 2009. "Fine-Tailored for the Cartel-Favoritism in Procurement," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 35(1), pages 95-121, September.
    16. Osório-Costa, António M., 2009. "Efficiency Gains in Repeated Games at Random Moments in Time," MPRA Paper 13105, University Library of Munich, Germany.
    17. Yutaka Kayaba & Hitoshi Matsushima & Tomohisa Toyama, 2016. "Accuracy and Retaliation in Repeated Games with Imperfect Private Monitoring: Experiments and Theory," CARF F-Series CARF-F-381, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    18. Gerlach, Heiko, 2009. "Stochastic market sharing, partial communication and collusion," International Journal of Industrial Organization, Elsevier, vol. 27(6), pages 655-666, November.
    19. Blume, Andreas & Heidhues, Paul, 2006. "Private monitoring in auctions," Journal of Economic Theory, Elsevier, vol. 131(1), pages 179-211, November.
    20. Osório António M., 2012. "A Folk Theorem for Games when Frequent Monitoring Decreases Noise," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 12(1), pages 1-27, April.

    More about this item

    Keywords

    Repeated games; Imperfect public monitoring; Perfect public equilibrium; Efficient outcomes; Repeated resource allocation; Repeated partnership; Repeated contest; C72; C73; D02;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D02 - Microeconomics - - General - - - Institutions: Design, Formation, Operations, and Impact

    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:spr:joecth:v:60:y:2015:i:1:p:1-34. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.