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Renegotiation-Proof Equilibria: Collective Rationality and Intertemporal Cooperation

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    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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    Bibliographic Info

    Paper provided by Cowles Foundation for Research in Economics, 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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    1. Edward J Green & Robert H Porter, 1997. "Noncooperative Collusion Under Imperfect Price Information," Levine's Working Paper Archive 1147, David K. Levine.
    2. 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.
    3. Porter, Robert H., 1983. "Optimal cartel trigger price strategies," Journal of Economic Theory, Elsevier, vol. 29(2), pages 313-338, April.
    4. Rubinstein, Ariel, 1979. "Equilibrium in supergames with the overtaking criterion," Journal of Economic Theory, Elsevier, vol. 21(1), pages 1-9, August.
    5. 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.
    6. Farrell, Joseph & Maskin, Eric, 1989. "Renegotiation-proof equilibrium: Reply," Journal of Economic Theory, Elsevier, vol. 49(2), pages 376-378, December.
    7. Friedman, James W, 1971. "A Non-cooperative Equilibrium for Supergames," Review of Economic Studies, Wiley Blackwell, vol. 38(113), pages 1-12, January.
    8. 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.
    9. 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, Wiley Blackwell, vol. 53(1), pages 59-69, January.
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    Cited by:
    1. Osterdal, Lars Peter, 2005. "Bargaining power in repeated games," Mathematical Social Sciences, Elsevier, vol. 49(1), pages 101-110, January.
    2. W. Bentley MacLeod, 2006. "Reputations, Relationships and the Enforcement of Incomplete Contracts," CESifo Working Paper Series 1730, CESifo Group Munich.
    3. Xue, Licun, 2002. "Stable agreements in infinitely repeated games," Mathematical Social Sciences, Elsevier, vol. 43(2), pages 165-176, March.
    4. Ludema, R.D., 1990. "Optimal International Trade Agreements And Dispute Settlement Procedures," UWO Department of Economics Working Papers 9101, University of Western Ontario, Department of Economics.
    5. Klimenko, Mikhail & Ramey, Garey & Watson, Joel, 2001. "Recurrent Trade Agreements and the Value of External Enforcement," University of California at San Diego, Economics Working Paper Series qt9xm2x5w7, Department of Economics, UC San Diego.
    6. Asheim, G.B. & Strand, J., 1989. "Long-Term Union-Firm Contracts," Papers 10-89, Norwegian School of Economics and Business Administration-.
    7. Christopher Phelan & Ennio Stacchetti, 2001. "Sequential Equilibria in a Ramsey Tax Model," Econometrica, Econometric Society, vol. 69(6), pages 1491-1518, November.
    8. Timothy L. Sorenson, 2007. "Credible collusion in multimarket oligopoly," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 28(2), pages 115-128.
    9. Akihiko Matsui, 1988. "Information Leakage Forces Cooperation," Discussion Papers 786, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    10. Blonski, Matthias & Spagnolo, Giancarlo, 2002. "Relational Contracts and Property Rights," CEPR Discussion Papers 3460, C.E.P.R. Discussion Papers.
    11. 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.
    12. Rohan Pitchford & Mark L. J. Wright, 2013. "On the contribution of game theory to the study of sovereign debt and default," Oxford Review of Economic Policy, Oxford University Press, vol. 29(4), pages 649-667, WINTER.
    13. David G. Pearce, 1991. "Repeated Games: Cooperation and Rationality," Cowles Foundation Discussion Papers 983, Cowles Foundation for Research in Economics, Yale University.
    14. 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.

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