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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. George J. Mailath & Stephen Morris, 2004. "Coordination Failure in Repeated Games with Almost-Public Monitoring," Cowles Foundation Discussion Papers 1479, Cowles Foundation for Research in Economics, Yale University.
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  4. George Mailath & Stephen Morris, . "Repeated Games with Almost-Public Monitoring," Penn CARESS Working Papers 6bf0f633ff55148107994e092, Penn Economics Department.
  5. Drew Fudenberg & David K. Levine & Eric Maskin, 1994. "The Folk Theorem with Imperfect Public Information," Levine's Working Paper Archive 2058, David K. Levine.
  6. Bhaskar, V. & Obara, Ichiro, 2002. "Belief-Based Equilibria in the Repeated Prisoners' Dilemma with Private Monitoring," Journal of Economic Theory, Elsevier, vol. 102(1), pages 40-69, January.
  7. Fudenberg Drew & Levine David K., 1994. "Efficiency and Observability with Long-Run and Short-Run Players," Journal of Economic Theory, Elsevier, vol. 62(1), pages 103-135, February.
  8. Drew Fudenberg & David K Levine, 2004. "The Nash Threats Folk Theorem With Communication and Approximate Common Knowledge in Two Player Games," Levine's Working Paper Archive 618897000000000030, David K. Levine.
  9. Jeffrey C. Ely & Juuso Valimaki, 1999. "A Robust Folk Theorem for the Prisoner's Dilemma," Discussion Papers 1264, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  10. Olivier Compte, 1998. "Communication in Repeated Games with Imperfect Private Monitoring," Econometrica, Econometric Society, vol. 66(3), pages 597-626, May.
  11. 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.
  12. Johannes Horner & Wojciech Olszewski, 2005. "The Folk Theorem for Games with Private, Almost-Perfect Monitoring," NajEcon Working Paper Reviews 172782000000000006, www.najecon.org.
  13. Michihiro Kandori & Hitoshi Matsushima, 1998. "Private Observation, Communication and Collusion," Econometrica, Econometric Society, vol. 66(3), pages 627-652, May.
  14. Hitoshi Matsushima, 2004. "Repeated Games with Private Monitoring: Two Players," Econometrica, Econometric Society, vol. 72(3), pages 823-852, 05.
  15. Michihiro Kandori & Hitoshi Matsushima, 1997. "Private observation and Communication and Collusion," Levine's Working Paper Archive 1256, David K. Levine.
  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. Nicolas Jacquemet & Frédéric Koessler, 2011. "Using or Hiding Private Information? An experimental Study of Zero-Sum Repeated Games with Incomplete Information," Documents de travail du Centre d'Economie de la Sorbonne 11002, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  2. Wojciech Olszewski & Johannes Horner, 2008. "How Robust is the Folk Theorem with Imperfect," 2008 Meeting Papers 895, Society for Economic Dynamics.
  3. 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.
  4. 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.
  5. 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.
  6. Joseph E. Harrington, Jr. & Andrzej Skrzypacz, 2009. "Private Monitoring and Communication in Cartels: Explaining Recent Collusive Practices," Economics Working Paper Archive 555, The Johns Hopkins University,Department of Economics.
  7. Yamamoto, Yuichi, 2012. "Characterizing belief-free review-strategy equilibrium payoffs under conditional independence," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1998-2027.
  8. 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.
  9. 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.
  10. Roman, Mihai Daniel, 2010. "A game theoretic approach of war with financial influences," MPRA Paper 38389, University Library of Munich, Germany.
  11. Laclau, M., 2013. "Repeated games with local monitoring and private communication," Economics Letters, Elsevier, vol. 120(2), pages 332-337.
  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. 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.
  14. Laclau, Marie, 2012. "A folk theorem for repeated games played on a network," Games and Economic Behavior, Elsevier, vol. 76(2), pages 711-737.
  15. 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.
  16. 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.
  17. 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.
  18. 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.

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