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Signaling and tacit collusion in an infinitely repeated Prisoners’ Dilemma

  • Harrington, Joseph E.
  • Zhao, Wei
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    In the context of an infinitely repeated Prisoners’ Dilemma, we explore how cooperation is initiated when players signal and coordinate through their actions. There are two types of players–patient and impatient–and a player’s type is private information. An impatient type is incapable of cooperative play, while if both players are patient types–and this is common knowledge–then they can cooperate with a grim trigger strategy. We find that the longer that players have gone without cooperating, the lower is the probability that they will cooperate in the next period. While the probability of cooperation emerging is always positive, there is a positive probability that cooperation never occurs.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0165489612000546
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    Article provided by Elsevier in its journal Mathematical Social Sciences.

    Volume (Year): 64 (2012)
    Issue (Month): 3 ()
    Pages: 277-289

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    Handle: RePEc:eee:matsoc:v:64:y:2012:i:3:p:277-289
    Contact details of provider: Web page: http://www.elsevier.com/locate/inca/505565

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    1. Cripps, Martin W. & Dekel, Eddie & Pesendorfer, Wolfgang, 2005. "Reputation with equal discounting in repeated games with strictly conflicting interests," Journal of Economic Theory, Elsevier, vol. 121(2), pages 259-272, April.
    2. Makoto Hanazono & Huanxing Yang, 2004. "Collusion, Fluctuating Demand, and Price Rigidity," KIER Working Papers 589, Kyoto University, Institute of Economic Research.
    3. Olivier Compte, 1998. "Communication in Repeated Games with Imperfect Private Monitoring," Econometrica, Econometric Society, vol. 66(3), pages 597-626, May.
    4. 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.
    5. Bhaskar, V., 1994. "Informational Constraints and the Overlapping Generations Model: Folk and Anti-Folk Theorems," Papers 9485, Tilburg - Center for Economic Research.
    6. Kandori, Michihiro, 2002. "Introduction to Repeated Games with Private Monitoring," Journal of Economic Theory, Elsevier, vol. 102(1), pages 1-15, January.
    7. Mailath, George J. & Samuelson, Larry, 2006. "Repeated Games and Reputations: Long-Run Relationships," OUP Catalogue, Oxford University Press, number 9780195300796, March.
    8. Atakan, Alp E. & Ekmekci, Mehmet, 2013. "A two-sided reputation result with long-run players," Journal of Economic Theory, Elsevier, vol. 148(1), pages 376-392.
    9. V Bhaskar & George J. Mailath & Stephen Morris, 2006. "Purification in the Infinitely Repeated Prisoner's Dilemma," Levine's Bibliography 321307000000000170, UCLA Department of Economics.
    10. Aumann, Robert J. & Sorin, Sylvain, 1989. "Cooperation and bounded recall," Games and Economic Behavior, Elsevier, vol. 1(1), pages 5-39, March.
    11. Obara, Ichiro, 2009. "Folk theorem with communication," Journal of Economic Theory, Elsevier, vol. 144(1), pages 120-134, January.
    12. Michihiro Kandori & Hitoshi Matsushima, 1998. "Private Observation, Communication and Collusion," Econometrica, Econometric Society, vol. 66(3), pages 627-652, May.
    13. Zheng, Bingyong, 2008. "Approximate efficiency in repeated games with correlated private signals," Games and Economic Behavior, Elsevier, vol. 63(1), pages 406-416, May.
    14. Gerlach, Heiko, 2007. "Stochastic market sharing, partial communication and collusion," IESE Research Papers D/674, IESE Business School.
    15. Aoyagi, Masaki, 2002. "Collusion in Dynamic Bertrand Oligopoly with Correlated Private Signals and Communication," Journal of Economic Theory, Elsevier, vol. 102(1), pages 229-248, January.
    16. Pedro Dal Bó, 2002. "Cooperation Under the Shadow of the Future: Experimental Evidence from Infinitely Repeated Games," Working Papers 2002-20, Brown University, Department of Economics.
    17. Cripps, Martin W. & Thomas, Jonathan P., 1997. "Reputation and Perfection in Repeated Common Interest Games," Games and Economic Behavior, Elsevier, vol. 18(2), pages 141-158, February.
    18. Susan Athey & Kyle Bagwell, 1999. "Optimal Collusion with Private Information," Working papers 99-17, Massachusetts Institute of Technology (MIT), Department of Economics.
    19. Kreps, David M. & Milgrom, Paul & Roberts, John & Wilson, Robert, 1982. "Rational cooperation in the finitely repeated prisoners' dilemma," Journal of Economic Theory, Elsevier, vol. 27(2), pages 245-252, August.
    20. Susan Athey & Kyle Bagwell, 2004. "Collusion with Persistent Cost Shocks," Levine's Bibliography 122247000000000334, UCLA Department of Economics.
    21. Marina Halac, 2012. "Relational Contracts and the Value of Relationships," American Economic Review, American Economic Association, vol. 102(2), pages 750-79, April.
    22. Sylvain Chassang, 2010. "Building Routines: Learning, Cooperation, and the Dynamics of Incomplete Relational Contracts," American Economic Review, American Economic Association, vol. 100(1), pages 448-65, March.
    23. Joseph Farrell, 1987. "Cheap Talk, Coordination, and Entry," RAND Journal of Economics, The RAND Corporation, vol. 18(1), pages 34-39, Spring.
    24. Crawford, Vincent P & Haller, Hans, 1990. "Learning How to Cooperate: Optimal Play in Repeated Coordination Games," Econometrica, Econometric Society, vol. 58(3), pages 571-95, May.
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