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Perfect public equilibrium when players are patient

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Author Info

  • Fudenberg, Drew
  • Levine, David K.
  • Takahashi, Satoru

Abstract

The limit set of perfect public equilibrium payoffs of a repeated game as the discount factor goes to one is characterized, with examples, even when the full-dimensionality condition fails.

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File URL: http://www.sciencedirect.com/science/article/B6WFW-4N1SJVG-1/2/7425ff50e2c5fd9ecc6229dc18a92509
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Bibliographic Info

Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 61 (2007)
Issue (Month): 1 (October)
Pages: 27-49

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Handle: RePEc:eee:gamebe:v:61:y:2007:i:1:p:27-49

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Web page: http://www.elsevier.com/locate/inca/622836

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References

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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  1. Jeffrey Ely & Drew Fudenberg & David K Levine, 2005. "When is Reputation Bad," Levine's Working Paper Archive 618897000000000016, David K. Levine.
  2. D. Fudenberg & D. M. Kreps & E. Maskin, 1998. "Repeated Games with Long-run and Short-run Players," Levine's Working Paper Archive 608, David K. Levine.
  3. 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.
  4. Abreu, Dilip & Pearce, David & Stacchetti, Ennio, 1986. "Optimal cartel equilibria with imperfect monitoring," Journal of Economic Theory, Elsevier, vol. 39(1), pages 251-269, June.
  5. Abreu, Dilip, 1986. "Extremal equilibria of oligopolistic supergames," Journal of Economic Theory, Elsevier, vol. 39(1), pages 191-225, June.
  6. Joseph Farrell and Eric Maskin., 1987. "Renegotiation in Repeated Games," Economics Working Papers 8759, University of California at Berkeley.
  7. Athey, Susan & Bagwell, Kyle, 2001. "Optimal Collusion with Private Information," RAND Journal of Economics, The RAND Corporation, vol. 32(3), pages 428-65, Autumn.
  8. Wen, Quan, 1994. "The "Folk Theorem" for Repeated Games with Complete Information," Econometrica, Econometric Society, vol. 62(4), pages 949-54, July.
  9. Abreu, Dilip & Pearce, David & Stacchetti, Ennio, 1990. "Toward a Theory of Discounted Repeated Games with Imperfect Monitoring," Econometrica, Econometric Society, vol. 58(5), pages 1041-63, September.
  10. Fudenberg, Drew & Maskin, Eric, 1986. "The Folk Theorem in Repeated Games with Discounting or with Incomplete Information," Econometrica, Econometric Society, vol. 54(3), pages 533-54, May.
  11. Fudenberg, D. & Maskin, E., 1990. "Nash and perfect equilibria of discounted repeated games," Journal of Economic Theory, Elsevier, vol. 51(1), pages 194-206, June.
  12. Abreu, Dilip & Dutta, Prajit K & Smith, Lones, 1994. "The Folk Theorem for Repeated Games: A NEU Condition," Econometrica, Econometric Society, vol. 62(4), pages 939-48, July.
  13. Michihiro Kandori & Hitoshi Matsushima, 1998. "Private Observation, Communication and Collusion," Econometrica, Econometric Society, vol. 66(3), pages 627-652, May.
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Citations

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Cited by:
  1. Yuichi Yamamoto, 2010. "The use of public randomization in discounted repeated games," International Journal of Game Theory, Springer, vol. 39(3), pages 431-443, July.
  2. Johannes Horner & Satoru Takahashi & Nicolas Vieille, 2012. "On the Limit Equilibrium Payoff Set in Repeated and Stochastic Games," Levine's Working Paper Archive 786969000000000412, David K. Levine.
  3. Eduardo Monteiro & Humberto Moreira, 2006. "Effciency In Two Player Repeated Games Of Imperfect Monitoring," Anais do XXXIV Encontro Nacional de Economia [Proceedings of the 34th Brazilian Economics Meeting] 113, ANPEC - Associação Nacional dos Centros de Pósgraduação em Economia [Brazilian Association of Graduate Programs in Economics].
  4. Chen, Bo & Takahashi, Satoru, 2012. "A folk theorem for repeated games with unequal discounting," Games and Economic Behavior, Elsevier, vol. 76(2), pages 571-581.
  5. Chen, Bo, 2008. "On effective minimax payoffs and unequal discounting," Economics Letters, Elsevier, vol. 100(1), pages 105-107, July.
  6. Fudenberg, Drew & Yamamoto, Yuichi, 2011. "Learning from private information in noisy repeated games," Journal of Economic Theory, Elsevier, vol. 146(5), pages 1733-1769, September.
  7. Kobayashi, Hajime & Ohta, Katsunori, 2012. "Optimal collusion under imperfect monitoring in multimarket contact," Games and Economic Behavior, Elsevier, vol. 76(2), pages 636-647.
  8. repec:hal:journl:halshs-00524134 is not listed on IDEAS
  9. Markus Kinateder, 2013. "Delayed perfect monitoring in repeated games," International Journal of Game Theory, Springer, vol. 42(1), pages 283-294, February.
  10. Tomala, Tristan, 2009. "Perfect communication equilibria in repeated games with imperfect monitoring," Games and Economic Behavior, Elsevier, vol. 67(2), pages 682-694, November.
  11. Markus Kinateder, 2008. "Repeated Games Played in a Network," Working Papers 2008.22, Fondazione Eni Enrico Mattei.
  12. Contou-Carrère, Pauline & Tomala, Tristan, 2011. "Finitely repeated games with semi-standard monitoring," Journal of Mathematical Economics, Elsevier, vol. 47(1), pages 14-21, January.
  13. Drew Fudenberg & David Levine, 2007. "Continuous Time Limits of Repeated Games with Imperfect Public Monitoring," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 10(2), pages 173-192, April.
  14. 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.
  15. Jérôme Renault & Tristan Tomala, 2011. "General Properties of Long-Run Supergames," Dynamic Games and Applications, Springer, vol. 1(2), pages 319-350, June.
  16. Yuichi Yamamoto, 2012. "Individual Learning and Cooperation in Noisy Repeated Games," PIER Working Paper Archive 12-044, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
  17. Du, Chuang, 2012. "Solving payoff sets of perfect public equilibria: an example," MPRA Paper 38622, University Library of Munich, Germany.
  18. Mihaela van der Schaar & Yuanzhang Xiao & William Zame, 2013. "Designing Efficient Resource Sharing For Impatient Players Using Limited Monitoring," EIEF Working Papers Series 1320, Einaudi Institute for Economics and Finance (EIEF), revised Aug 2013.
  19. 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.

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