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Less is more: an observability paradox in repeated games

  • Michihiro Kandori

    ()

  • Ichiro Obara

    ()

We present a repeated prisoners' dilemma game with imperfect public monitoring, which exhibits the following paradoxical feature: the equilibrium payoff set expands and asymptotically achieves full efficiency as the public signal becomes less sensitive to the hiden actions of the players.

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File URL: http://hdl.handle.net/10.1007/s00182-006-0032-7
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Article provided by Springer & Game Theory Society in its journal International Journal of Game Theory.

Volume (Year): 34 (2006)
Issue (Month): 4 (November)
Pages: 475-493

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Handle: RePEc:spr:jogath:v:34:y:2006:i:4:p:475-493
DOI: 10.1007/s00182-006-0032-7
Contact details of provider: Web page: http://www.springer.com

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  1. 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.
  2. Piccione, Michele, 2002. "The Repeated Prisoner's Dilemma with Imperfect Private Monitoring," Journal of Economic Theory, Elsevier, vol. 102(1), pages 70-83, January.
  3. Michihiro Kandori & Ichiro Obara, 2006. "Efficiency in Repeated Games Revisited: The Role of Private Strategies," Econometrica, Econometric Society, vol. 74(2), pages 499-519, 03.
  4. 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.
  5. 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.
  6. Ehud Lehrer, 1988. "Internal Correlation in Repeated Games," Discussion Papers 800, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  7. Michihiro Kandori & Hitoshi Matsushima, 1998. "Private Observation, Communication and Collusion," Econometrica, Econometric Society, vol. 66(3), pages 627-652, May.
  8. Michihiro Kandori, 1992. "The Use of Information in Repeated Games with Imperfect Monitoring," Review of Economic Studies, Oxford University Press, vol. 59(3), pages 581-593.
  9. 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.
  10. Sekiguchi, Tadashi, 1997. "Efficiency in Repeated Prisoner's Dilemma with Private Monitoring," Journal of Economic Theory, Elsevier, vol. 76(2), pages 345-361, October.
  11. Lehrer, Ehud, 1992. "On the Equilibrium Payoffs Set of Two Player Repeated Games with Imperfect Monitoring," International Journal of Game Theory, Springer;Game Theory Society, vol. 20(3), pages 211-26.
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