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Efficient outcomes in repeated games with limited monitoring

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  • 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
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    References listed on IDEAS

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    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..
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    4. 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..
    5. Roy Radner & Roger Myerson & Eric Maskin, 1986. "An Example of a Repeated Partnership Game with Discounting and with Uniformly Inefficient Equilibria," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(1), pages 59-69.
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    7. 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.
    8. 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.
    9. 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.
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    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).

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    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

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