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A Robust Folk Theorem for the Prisoner's Dilemma

  • Ely, Jeffrey C.
  • Valimaki, Juuso

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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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
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622869

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  1. Sekiguchi, Tadashi, 1997. "Efficiency in Repeated Prisoner's Dilemma with Private Monitoring," Journal of Economic Theory, Elsevier, vol. 76(2), pages 345-361, October.
  2. 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.
  3. Ichiro Obara, . "The Repeated Prisoner's Dilemma with Private Monitoring: a N-player case," Penn CARESS Working Papers ba7f35f1c50de4503e241d127, Penn Economics Department.
  4. 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.
  5. Mailath, G.J. & Morris, S., 1998. "Repeated Games With Imperfect Private Monitoring: Notes on a Coordination Perspective," Papers 349, Australian National University - Department of Economics.
  6. Bhaskar, V., 1994. "Informational Constraints and the Overlapping Generations Model: Folk and Anti-Folk Theorems," Papers 9485, Tilburg - Center for Economic Research.
  7. Radner, Roy, 1985. "Repeated Principal-Agent Games with Discounting," Econometrica, Econometric Society, vol. 53(5), pages 1173-98, September.
  8. Ellison, Glenn, 1994. "Cooperation in the Prisoner's Dilemma with Anonymous Random Matching," Review of Economic Studies, Wiley Blackwell, vol. 61(3), pages 567-88, July.
  9. Piccione, Michele, 2002. "The Repeated Prisoner's Dilemma with Imperfect Private Monitoring," Journal of Economic Theory, Elsevier, vol. 102(1), pages 70-83, January.
  10. Ichiro Obara, 2000. "Private Strategy and Efficiency: Repeated Partnership Games Revisited," Econometric Society World Congress 2000 Contributed Papers 1449, Econometric Society.
  11. 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.
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