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Coordination Failure in Repeated Games with Almost-Public Monitoring

  • George J. Mailath
  • Stephen Morris

Some private-monitoring games, that is, games with no public histories, can have histories that are almost public. These games are the natural result of perturbing public monitoring games towards private monitoring. We explore the extent to which it is possible to coordinate continuation play in such games. It is always possible to coordinate continuation play by requiring behavior to have bounded recall (i.e., there is a bound L such that in any period, the last L signals are sufficient to determine behavior). We show that, in games with general almost-public private monitoring, this is essentially the only behavior that can coordinate continuation play.

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Paper provided by UCLA Department of Economics in its series Levine's Bibliography with number 122247000000000340.

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Date of creation: 05 Apr 2005
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Handle: RePEc:cla:levrem:122247000000000340
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  1. Fudenberg, D. & Levine, D.K. & Maskin, E., 1989. "The Folk Theorem With Inperfect Public Information," Working papers 523, Massachusetts Institute of Technology (MIT), Department of Economics.
  2. repec:ner:tilbur:urn:nbn:nl:ui:12-88790 is not listed on IDEAS
  3. Richard McLean & Andrew Postlewaite, 2004. "Informational Size and Efficient Auctions," Review of Economic Studies, Oxford University Press, vol. 71(3), pages 809-827.
  4. V.V. Bhaskar, 2007. "Purification in the Infinitely-Repeated Prisoners' Dilemma," 2007 Meeting Papers 136, Society for Economic Dynamics.
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  11. George J. Mailath & Stephen Morris, 1999. "Repeated Games with Almost-Public Monitoring," Cowles Foundation Discussion Papers 1236, Cowles Foundation for Research in Economics, Yale University.
  12. Sekiguchi, Tadashi, 1997. "Efficiency in Repeated Prisoner's Dilemma with Private Monitoring," Journal of Economic Theory, Elsevier, vol. 76(2), pages 345-361, October.
  13. Mailath, George J. & Samuelson, Larry, 2006. "Repeated Games and Reputations: Long-Run Relationships," OUP Catalogue, Oxford University Press, number 9780195300796.
  14. Michihiro Kandori & Hitoshi Matsushima, 1997. "Private observation and Communication and Collusion," Levine's Working Paper Archive 1256, David K. Levine.
  15. 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.
  16. Monderer, Dov & Samet, Dov, 1989. "Approximating common knowledge with common beliefs," Games and Economic Behavior, Elsevier, vol. 1(2), pages 170-190, June.
  17. Olivier Compte, 1998. "Communication in Repeated Games with Imperfect Private Monitoring," Econometrica, Econometric Society, vol. 66(3), pages 597-626, May.
  18. V. Bhaskar & Ichiro Obara, . "Belief-Based Equilibria in the Repeated Prisoners' Dilemma with Private Monitoring," Penn CARESS Working Papers d93eb6f40c65728f9e1a7b114, Penn Economics Department.
  19. Hitoshi Matsushima, 2003. "Repeated Games with Private Monitoring: Two Players," CIRJE F-Series CIRJE-F-242, CIRJE, Faculty of Economics, University of Tokyo.
  20. Piccione, Michele, 2002. "The Repeated Prisoner's Dilemma with Imperfect Private Monitoring," Journal of Economic Theory, Elsevier, vol. 102(1), pages 70-83, January.
  21. 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.
  22. Rich McLean & Ichiro Obara & Andrew Postlewaite, 2005. "Informational Smallness and Private Monitoring in Repeated Games," Levine's Bibliography 784828000000000261, UCLA Department of Economics.
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