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Folk theorem with communication

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  • Obara, Ichiro

Abstract

This paper proves a new folk theorem for repeated games with private monitoring and communication, extending the idea of delayed communication in Compte [O. Compte, Communication in repeated games with imperfect private monitoring, Econometrica 66 (1998) 597-626] to the case where private signals are correlated. The sufficient condition for the folk theorem is generically satisfied with more than two players, even when other well-known conditions are not. The folk theorem also applies to some two-players repeated games.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 144 (2009)
Issue (Month): 1 (January)
Pages: 120-134

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Handle: RePEc:eee:jetheo:v:144:y:2009:i:1:p:120-134

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Web page: http://www.elsevier.com/locate/inca/622869

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Keywords: Communication Folk theorem Private monitoring Repeated games;

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References

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  1. Radner, Roy, 1986. "Repeated Partnership Games with Imperfect Monitoring and No Discounting," Review of Economic Studies, Wiley Blackwell, vol. 53(1), pages 43-57, January.
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  3. Richard McLean & Ichiro Obara & Andrew Postlewaite, 2001. "Informational Smallness and Private Monitoring in Repeated Games," PIER Working Paper Archive 05-024, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 20 Jul 2005.
  4. 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.
  5. David G. Pearce & Dilip Abreu & Paul R. Milgrom, 1988. "Information and Timing in Repeated Partnerships," Cowles Foundation Discussion Papers 875, Cowles Foundation for Research in Economics, Yale University.
  6. Jeffrey Ely, 2000. "A Robust Folk Theorem for the Prisoners' Dilemma," Econometric Society World Congress 2000 Contributed Papers 0210, Econometric Society.
  7. Johannes Horner & Wojciech Olszewski, 2005. "The Folk Theorem for Games with Private, Almost-Perfect Monitoring," NajEcon Working Paper Reviews 172782000000000006, www.najecon.org.
  8. George J. Mailath & Stephen Morris, 2004. "Coordination Failure in Repeated Games with Almost-Public Monitoring," PIER Working Paper Archive 04-033, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
  9. Fudenberg, Drew & Levine, David K., 2007. "The Nash-threats folk theorem with communication and approximate common knowledge in two player games," Journal of Economic Theory, Elsevier, vol. 132(1), pages 461-473, January.
  10. V. Bhaskar & Ichiro Obara, 2000. "Belief-Based Equilibria in the Repeated Prisoners' Dilemma with Private Monitoring," Econometric Society World Congress 2000 Contributed Papers 1330, Econometric Society.
  11. George J. Mailath & Stephen Morris, 1999. "Repeated Games with Almost-Public Monitoring," CARESS Working Papres almost-pub, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences, revised 01 Sep 2000.
  12. Michihiro Kandori & Hitoshi Matsushima, 1998. "Private Observation, Communication and Collusion," Econometrica, Econometric Society, vol. 66(3), pages 627-652, May.
  13. Levine, David & Fudenberg, Drew, 1994. "Efficiency and Observability with Long-Run and Short-Run Players," Scholarly Articles 3203774, Harvard University Department of Economics.
  14. Hitoshi Matsushima, 2004. "Repeated Games with Private Monitoring: Two Players," Econometrica, Econometric Society, vol. 72(3), pages 823-852, 05.
  15. Olivier Compte, 1998. "Communication in Repeated Games with Imperfect Private Monitoring," Econometrica, Econometric Society, vol. 66(3), pages 597-626, May.
  16. Ben-Porath, Elchanan & Kahneman, Michael, 1996. "Communication in Repeated Games with Private Monitoring," Journal of Economic Theory, Elsevier, vol. 70(2), pages 281-297, August.
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Citations

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Cited by:
  1. Drew Fudenberg & Yuhta Ishii & Scott Duke Kominers, 2012. "Delayed-Response Strategies in Repeated Games with Observation Lags," Levine's Working Paper Archive 786969000000000390, David K. Levine.
  2. Lucas Maestri, 2012. "Bonus Payments versus Efficiency Wages in the Repeated Principal-Agent Model with Subjective Evaluations," American Economic Journal: Microeconomics, American Economic Association, vol. 4(3), pages 34-56, August.
  3. Wojciech Olszewski & Johannes Horner, 2008. "How Robust is the Folk Theorem with Imperfect," 2008 Meeting Papers 895, Society for Economic Dynamics.
  4. Yamamoto, Yuichi, 2012. "Characterizing belief-free review-strategy equilibrium payoffs under conditional independence," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1998-2027.
  5. Jacquemet, Nicolas & Koessler, Frédéric, 2013. "Using or hiding private information? An experimental study of zero-sum repeated games with incomplete information," Games and Economic Behavior, Elsevier, vol. 78(C), pages 103-120.
  6. Richard McLean & Ichiro Obara & Andrew Postlewaite, 2005. "Informational Smallness and Privae Momnitoring in Repeated Games, Second Version," PIER Working Paper Archive 11-029, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 10 Feb 2011.
  7. Harrington, Joseph E. & Zhao, Wei, 2012. "Signaling and tacit collusion in an infinitely repeated Prisoners’ Dilemma," Mathematical Social Sciences, Elsevier, vol. 64(3), pages 277-289.
  8. Joseph E. Harrington & Andrzej Skrzypacz, 2011. "Private Monitoring and Communication in Cartels: Explaining Recent Collusive Practices," American Economic Review, American Economic Association, vol. 101(6), pages 2425-49, October.
  9. Joseph E. Harrington, Jr. & Wei Zhao, 2012. "Signaling and Tacit Collusion in an Infinitely Repeated Prisoners' Dilemma," Economics Working Paper Archive 587, The Johns Hopkins University,Department of Economics.
  10. Joseph E. Harrington, Jr. & Wei Zhao, 2010. "Signaling and Tacit Collusion in an Infinitely Repeated Prisoners' Dilemma," Economics Working Paper Archive 559, The Johns Hopkins University,Department of Economics.
  11. 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.
  12. Julian Romero, 2011. "Finite Automata in Undiscounted Repeated Games with Private Monitoring," Purdue University Economics Working Papers 1260, Purdue University, Department of Economics.
  13. Laclau, Marie, 2012. "A folk theorem for repeated games played on a network," Games and Economic Behavior, Elsevier, vol. 76(2), pages 711-737.
  14. Roman, Mihai Daniel, 2008. "Entreprises behavior in cooperative and punishment‘s repeated negotiations," MPRA Paper 37527, University Library of Munich, Germany, revised 05 Jan 2009.
  15. Roman, Mihai Daniel, 2010. "A game theoretic approach of war with financial influences," MPRA Paper 38389, University Library of Munich, Germany.
  16. Laclau, M., 2013. "Repeated games with local monitoring and private communication," Economics Letters, Elsevier, vol. 120(2), pages 332-337.
  17. 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.
  18. Fong, Kyna & Sannikov, Yuliy, 2007. "Efficiency in a Repeated Prisoners' Dilemma with Imperfect Private Monitoring," Department of Economics, Working Paper Series qt8vz4q9tr, Department of Economics, Institute for Business and Economic Research, UC Berkeley.

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