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A Robust Folk Theorem for the Prisoner's Dilemma

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  • Ely, Jeffrey C.
  • Valimaki, Juuso

Abstract

We prove the folk theorem for the Prisoner's dilemma using strategies that are robust to private monitoring. From this follows a limit folk theorem : when players are patient and monitoring is sufficiently accurate, (but private and possibly independent) any feasible individually rational payoff can be obtained in sequential equilibrium. The strategies used can be implemented by finite (randomizing) automata.

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Bibliographic Info

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

Volume (Year): 102 (2002)
Issue (Month): 1 (January)
Pages: 84-105

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Handle: RePEc:eee:jetheo:v:102:y:2002:i:1:p:84-105

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

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  1. Bhaskar, V., 1994. "Informational Constraints and the Overlapping Generations Model: Folk and Anti-Folk Theorems," Papers 9485, Tilburg - Center for Economic Research.
  2. George J. Mailath & Stephen Morris, . "Repeated Games with Imperfect Private Monitoring: Notes on a Coordination Perspective," Penn CARESS Working Papers 5d82f80bcea2483b6387c5b68, Penn Economics Department.
  3. Matsushima, Hitoshi, 1991. "On the theory of repeated games with private information : Part I: anti-folk theorem without communication," Economics Letters, Elsevier, vol. 35(3), pages 253-256, March.
  4. Lehrer, E, 1989. "Lower Equilibrium Payoffs in Two-Player Repeated Games with Non-observable Actions," International Journal of Game Theory, Springer, vol. 18(1), pages 57-89.
  5. Green, Edward J. & Porter, Robert H., 1982. "Noncooperative Collusion Under Imperfect Price Information," Working Papers 367, California Institute of Technology, Division of the Humanities and Social Sciences.
  6. Piccione, Michele, 2002. "The Repeated Prisoner's Dilemma with Imperfect Private Monitoring," Journal of Economic Theory, Elsevier, vol. 102(1), pages 70-83, January.
  7. Ichiro Obara, 2000. "Private Strategy and Efficiency: Repeated Partnership Games Revisited," Econometric Society World Congress 2000 Contributed Papers 1449, Econometric Society.
  8. Ichiro Obara, . "The Repeated Prisoner's Dilemma with Private Monitoring: a N-player case," Penn CARESS Working Papers ba7f35f1c50de4503e241d127, Penn Economics Department.
  9. Radner, Roy, 1985. "Repeated Principal-Agent Games with Discounting," Econometrica, Econometric Society, vol. 53(5), pages 1173-98, September.
  10. Glen Ellison, 2010. "Cooperation in the Prisoner's Dilemma with Anonymous Random Matching," Levine's Working Paper Archive 631, David K. Levine.
  11. Sekiguchi, Tadashi, 1997. "Efficiency in Repeated Prisoner's Dilemma with Private Monitoring," Journal of Economic Theory, Elsevier, vol. 76(2), pages 345-361, October.
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