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The Folk Theorems for Repeated Games: A Synthesis

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Author Info
Jean-Pierre Benoit (New York University)
Vijay Krishna (Penn State University)
Abstract

We present a synthesis of the various folk theorems for repeated games using a model that accommodates both finitely and infinitely repeated games with discounting. We derive a central result for this model and show that the various folk theorems follow as a consequence. Our result encompasses theorems involving epsilon equilibria and incomplete information.

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Publisher Info
Paper provided by EconWPA in its series Game Theory and Information with number 9902001.

Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Length: 36 pages
Date of creation: 03 Feb 1999
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Handle: RePEc:wpa:wuwpga:9902001

Note: Type of Document - LaTex; prepared on IBM PC/Scientific Workplace 3.0 ; to print on HP 4; pages: 36; figures: none. December 1998 version
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Web page: http://129.3.20.41

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Related research
Keywords: Folk Theorems; Repeated Games;

Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

This paper has been announced in the following NEP Reports:

References listed on IDEAS
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.:
  1. Bernheim B. Douglas & Dasgupta Aniruddha, 1995. "Repeated Games with Asymptotically Finite Horizons," Journal of Economic Theory, Elsevier, vol. 67(1), pages 129-152, October. [Downloadable!] (restricted)
  2. Smith, Lones, 1992. "Folk theorems in overlapping generations games," Games and Economic Behavior, Elsevier, vol. 4(3), pages 426-449, July. [Downloadable!] (restricted)
  3. 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. [Downloadable!] (restricted)
  4. 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. [Downloadable!] (restricted)
  5. Sorin, Sylvain, 1992. "Repeated games with complete information," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 4, pages 71-107 Elsevier. [Downloadable!] (restricted)
  6. Robert J. Aumann & Lloyd S. Shapley, 1992. "Long Term Competition-A Game Theoretic Analysis," UCLA Economics Working Papers 676, UCLA Department of Economics. [Downloadable!]
  7. Gossner, Olivier, 1995. "The Folk Theorem for Finitely Repeated Games with Mixed Strategies," International Journal of Game Theory, Springer, vol. 24(1), pages 95-107.
  8. Rubinstein, Ariel, 1991. "Comments on the Interpretation of Game Theory," Econometrica, Econometric Society, vol. 59(4), pages 909-24, July. [Downloadable!] (restricted)
  9. Cremer, Jacques, 1986. "Cooperation in Ongoing Organizations," The Quarterly Journal of Economics, MIT Press, vol. 101(1), pages 33-49, February. [Downloadable!] (restricted)
  10. Drew Fudenberg & Eric Maskin, 1987. "On the Dispensability of Public Randomization in Discounted Repeated Games," Working papers 467, Massachusetts Institute of Technology (MIT), Department of Economics.
    Other versions:
  11. Wen, Quan, 1994. "The "Folk Theorem" for Repeated Games with Complete Information," Econometrica, Econometric Society, vol. 62(4), pages 949-54, July. [Downloadable!] (restricted)
  12. Smith, Lones, 1995. "Necessary and Sufficient Conditions for the Perfect Finite Horizon Folk Theorem," Econometrica, Econometric Society, vol. 63(2), pages 425-30, March. [Downloadable!] (restricted)
    Other versions:
  13. Benoit, Jean-Pierre & Krishna, Vijay, 1985. "Finitely Repeated Games," Econometrica, Econometric Society, vol. 53(4), pages 905-22, July. [Downloadable!] (restricted)
  14. John Geanakoplos & Chien-fu Chou, 1988. "The Power of Commitment," Cowles Foundation Discussion Papers 885, Cowles Foundation, Yale University. [Downloadable!]
  15. Kandori, Michihiro, 1992. "Repeated Games Played by Overlapping Generations of Players," Review of Economic Studies, Blackwell Publishing, vol. 59(1), pages 81-92, January. [Downloadable!] (restricted)
  16. 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. [Downloadable!] (restricted)
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(explanations, 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.)

  1. Conconi, Paola & Sahuguet, Nicolas, 2005. "Re-election Incentives and the Sustainability of International Cooperation," CEPR Discussion Papers 5401, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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