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Renegotiation-Proof Equilibria: Collective Rationality and Intertemporal Cooperation

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Author Info
David G. Pearce (Cowles Foundation, Yale University)
Abstract

Cooperation in repeated games relies on the possibility that equilibrium play following some t-period history depends on more than simply the structure of the game remaining after the first t periods, that structure being always the same. In a nondegenerate theory of renegotiation, what a player expects, and the statements he finds credible at the end of period t must be affected by the history that has transpired, and perhaps by the implicit agreement that was in force. The solution concept proposed in this paper acknowledges both these influences, while imposing a certain stationarity on beliefs regarding what renegotiation options are available: renegotiation to an equilibrium sigma will not take place if, after some history h, the continuation equilibrium sigma given h is itself vulnerable to renegotiation to sigma (in the sense that all players prefer sigma to sigma given h).

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File URL: http://cowles.econ.yale.edu/P/cd/d08b/d0855.pdf
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Paper provided by Cowles Foundation, Yale University in its series Cowles Foundation Discussion Papers with number 855.

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Length: 33 pages
Date of creation: Dec 1987
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Handle: RePEc:cwl:cwldpp:855

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Keywords: Planning; natural resource;

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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.:
  1. 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. [Downloadable!] (restricted)
  2. Porter, Robert H., 1983. "Optimal cartel trigger price strategies," Journal of Economic Theory, Elsevier, vol. 29(2), pages 313-338, April. [Downloadable!] (restricted)
  3. Radner, Roy & Myerson, Roger & Maskin, Eric, 1986. "An Example of a Repeated Partnership Game with Discounting and with Uniformly Inefficient Equilibria," Review of Economic Studies, Blackwell Publishing, vol. 53(1), pages 59-69, January. [Downloadable!] (restricted)
  4. Friedman, James W, 1971. "A Non-cooperative Equilibrium for Supergames," Review of Economic Studies, Blackwell Publishing, vol. 38(113), pages 1-12, January. [Downloadable!] (restricted)
  5. Green, Edward J & Porter, Robert H, 1984. "Noncooperative Collusion under Imperfect Price Information," Econometrica, Econometric Society, vol. 52(1), pages 87-100, January. [Downloadable!] (restricted)
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  6. Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June. [Downloadable!] (restricted)
  7. Rubinstein, Ariel, 1979. "Equilibrium in supergames with the overtaking criterion," Journal of Economic Theory, Elsevier, vol. 21(1), pages 1-9, August. [Downloadable!] (restricted)
  8. Farrell, Joseph & Maskin, Eric, 1989. "Renegotiation-proof equilibrium: Reply," Journal of Economic Theory, Elsevier, vol. 49(2), pages 376-378, December. [Downloadable!] (restricted)
  9. Bernheim, B. Douglas & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria II. Applications," Journal of Economic Theory, Elsevier, vol. 42(1), pages 13-29, June. [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. Cheng Wang, 2000. "Renegotiation-Proof Dynamic Contracts with Private Information," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(3), pages 396-422, July. [Downloadable!] (restricted)
  2. Benoit, Jean-Pierre & Krishna, Vijay, 1991. "Renegotiation in Finitely Repeated Games," Working Papers 91-34, C.V. Starr Center for Applied Economics, New York University. [Downloadable!]
  3. Akihiko Matsui, 1988. "Information Leakage Forces Cooperation," Discussion Papers 786, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
    Other versions:
  4. W. Bentley MacLeod, 2006. "Reputations, Relationships and the Enforcement of Incomplete Contracts," IZA Discussion Papers 1978, Institute for the Study of Labor (IZA). [Downloadable!]
    Other versions:
  5. Flinn, C.J., 1993. "Equilibrium Wage and Dismissal Processes," Working Papers 93-38, C.V. Starr Center for Applied Economics, New York University. [Downloadable!]
    Other versions:
  6. Timothy L. Sorenson, 2007. "Credible collusion in multimarket oligopoly," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 28(2), pages 115-128. [Downloadable!]
  7. Kai-Uwe Kühn, 2005. "Collusion Theory in Search of Robust Themes: A Comment on Switgard Feuerstein's Survey," Journal of Industry, Competition and Trade, Springer, vol. 5(3), pages 207-215, December. [Downloadable!] (restricted)
  8. Blonski, Matthias & Spagnolo, Giancarlo, 2002. "Relational Contracts and Property Rights," CEPR Discussion Papers 3460, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  9. David G. Pearce, 1991. "Repeated Games: Cooperation and Rationality," Cowles Foundation Discussion Papers 983, Cowles Foundation, Yale University. [Downloadable!]
  10. Mikhail Klimenko & Garey Ramey & Joel Watson, 2001. "Recurrent Trade Agreements and the Value of External Enforcement," University of California at San Diego, Economics Working Paper Series 2001-01, Department of Economics, UC San Diego. [Downloadable!]
  11. Hitoshi Matsushima, 2000. "Small Verifiability in Long-Term Relationships," CIRJE F-Series CIRJE-F-98, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
  12. Hitoshi Matsushima, 2002. "Finitely Repeated Games with Small Side Payments," CIRJE F-Series CIRJE-F-179, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
  13. Geir Asheim & Jon Strand, 1991. "Long-term union-firm contracts," Journal of Economics, Springer, vol. 53(2), pages 161-184, June. [Downloadable!] (restricted)
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