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Repeated Games: Cooperation and Rationality

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    Abstract

    The paper is a survey written for the Sixth World congress of the Econometric Society. It is devoted largely to a discussion of the progress made in the last decade in understanding the structure of self-enforcing agreements in discounted supergames of complete information. Perfect and imperfect monitoring models are considered in turn, with attention given to the case of substantial impatience as well as to the various "folk theorems." The emphasis is on the features of constrained-optimal perfect equilibria, causes of inefficiency, and some relationships among different strands of the literature. The remainder of the paper is a critical and comparative consideration of recent work on renegotiation in repeated games.

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    File URL: http://cowles.econ.yale.edu/P/cd/d09b/d0983.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 983.

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    Length: 43 pages
    Date of creation: Jun 1991
    Date of revision:
    Publication status: Published in J.J. Laffont (ed.), Advances in Economic Theory: Sixth World Congress, Cambridge University Press, 1992, pp. 132-174
    Handle: RePEc:cwl:cwldpp:983

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    Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA

    Related research

    Keywords: Repeated game; self-enforcing contracts; supergames; folk theorem;

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    References

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    1. Douglas Bernheim, B. & Ray, Debraj, 1989. "Collective dynamic consistency in repeated games," Games and Economic Behavior, Elsevier, vol. 1(4), pages 295-326, December.
    2. Damme, E.E.C. van, 1989. "Renegotiation-proof equilibria in repeated prisoners' dilemma," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154423, Tilburg University.
    3. Benoit, Jean-Pierre & Krishna, Vijay, 1985. "Finitely Repeated Games," Econometrica, Econometric Society, vol. 53(4), pages 905-22, July.
    4. MacLeod, B.W. & Bergin, J., 1991. "Efficiency and Renegotiation in Repeated Games," Cahiers de recherche 9118, Universite de Montreal, Departement de sciences economiques.
    5. Jacquemin, Alexis & Slade, Margaret E., 1989. "Cartels, collusion, and horizontal merger," Handbook of Industrial Organization, in: R. Schmalensee & R. Willig (ed.), Handbook of Industrial Organization, edition 1, volume 1, chapter 7, pages 415-473 Elsevier.
    6. Radner, Roy, 1980. "Collusive behavior in noncooperative epsilon-equilibria of oligopolies with long but finite lives," Journal of Economic Theory, Elsevier, vol. 22(2), pages 136-154, April.
    7. Julio J. Rotemberg & Garth Saloner, 1989. "Tariffs vs Quotas with Implicit Collusion," Canadian Journal of Economics, Canadian Economics Association, vol. 22(2), pages 237-44, May.
    8. Green, Edward J & Porter, Robert H, 1984. "Noncooperative Collusion under Imperfect Price Information," Econometrica, Econometric Society, vol. 52(1), pages 87-100, January.
    9. Rubinstein, Ariel & Yaari, Menahem E., 1983. "Repeated insurance contracts and moral hazard," Journal of Economic Theory, Elsevier, vol. 30(1), pages 74-97, June.
    10. David G. Pearce & Dilip Abreu & Ennio Stacchetti, 1989. "Renegotiation and Symmetry in Repeated Games," Cowles Foundation Discussion Papers 920, Cowles Foundation for Research in Economics, Yale University.
    11. Barro, Robert J. & Gordon, David B., 1983. "Rules, discretion and reputation in a model of monetary policy," Journal of Monetary Economics, Elsevier, vol. 12(1), pages 101-121.
    12. Porter, Robert H., 1983. "Optimal cartel trigger price strategies," Journal of Economic Theory, Elsevier, vol. 29(2), pages 313-338, April.
    13. Robert J. Aumann & Lloyd S. Shapley, 1992. "Long Term Competition-A Game Theoretic Analysis," UCLA Economics Working Papers 676, UCLA Department of Economics.
    14. Abreu, Dilip, 1986. "Extremal equilibria of oligopolistic supergames," Journal of Economic Theory, Elsevier, vol. 39(1), pages 191-225, June.
    15. Kandori, Michihiro, 1992. "Social Norms and Community Enforcement," Review of Economic Studies, Wiley Blackwell, vol. 59(1), pages 63-80, January.
    16. Dilip Abreu & David Pearce & Ennio Stacchetti, 1989. "Renegotiation and Symmetry in Repeated Games," STICERD - Theoretical Economics Paper Series 198, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    17. Kandori, Michihiro, 1992. "Repeated Games Played by Overlapping Generations of Players," Review of Economic Studies, Wiley Blackwell, vol. 59(1), pages 81-92, January.
    18. Evans, Robert & Maskin, Eric, 1989. "Efficient renegotiation--proof equilibria in repeated games," Games and Economic Behavior, Elsevier, vol. 1(4), pages 361-369, December.
    19. Abreu, Dilip, 1988. "On the Theory of Infinitely Repeated Games with Discounting," Econometrica, Econometric Society, vol. 56(2), pages 383-96, March.
    20. Phelan, Christopher & Townsend, Robert M, 1991. "Computing Multi-period, Information-Constrained Optima," Review of Economic Studies, Wiley Blackwell, vol. 58(5), pages 853-81, October.
    21. Milgrom, Paul & Roberts, John, 1982. "Predation, reputation, and entry deterrence," Journal of Economic Theory, Elsevier, vol. 27(2), pages 280-312, August.
    22. Okuno-Fujiwara Masahiro & Postlewaite Andrew, 1995. "Social Norms and Random Matching Games," Games and Economic Behavior, Elsevier, vol. 9(1), pages 79-109, April.
    23. David G. Pearce, 1987. "Renegotiation-Proof Equilibria: Collective Rationality and Intertemporal Cooperation," Cowles Foundation Discussion Papers 855, Cowles Foundation for Research in Economics, Yale University.
    24. Joseph Farrell and Eric Maskin., 1987. "Renegotiation in Repeated Games," Economics Working Papers 8759, University of California at Berkeley.
    25. repec:fth:harver:1440 is not listed on IDEAS
    26. Vassilis A. Hajivassiliou, 1993. "Testing Game-Theoretic Models of Price Fixing Behaviour," Working Papers _017, Yale University.
    27. van Damme, Eric, 1989. "Renegotiation-proof equilibria in repeated prisoners' dilemma," Journal of Economic Theory, Elsevier, vol. 47(1), pages 206-217, February.
    28. Fudenberg, D., 1991. "Explaining Cooperatiob and Commitment in Repeated Games," Working papers 590, Massachusetts Institute of Technology (MIT), Department of Economics.
    29. Rubinstein, Ariel, 1979. "Equilibrium in supergames with the overtaking criterion," Journal of Economic Theory, Elsevier, vol. 21(1), pages 1-9, August.
    30. Berry, Steven & Briggs, Hugh, 1988. "A non-parametric test of a first-order Markov process for regimes in a non-cooperatively collusive industry," Economics Letters, Elsevier, vol. 27(1), pages 73-77.
    31. Martin Shubik, 1988. "The Interaction of Implicit and Explicit Contracts in Repeated Agency," Cowles Foundation Discussion Papers 891, Cowles Foundation for Research in Economics, Yale University.
    32. MacLeod, W Bentley & Malcomson, James M, 1989. "Implicit Contracts, Incentive Compatibility, and Involuntary Unemployment," Econometrica, Econometric Society, vol. 57(2), pages 447-80, March.
    33. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, December.
    34. Asheim, G.B., 1988. "Renegotiation-Proofness In Finite And Infinite Stage Games Through The Theory Of Social Situations," Papers 04-88, Norwegian School of Economics and Business Administration-.
    35. Bentley MacLeod & James M. Malcomson, 1985. "Reputation and Hierarchy in Dynamic Models of Employment," Working Papers 628, Queen's University, Department of Economics.
    36. David G. Pearce & Ennio Stacchetti, 1988. "The Interaction of Implicit and Explicit Contracts in Repeated Agency," Cowles Foundation Discussion Papers 892, Cowles Foundation for Research in Economics, Yale University.
    37. Jonathan Cave, 1987. "Long-Term Competition in a Dynamic Game: The Cold Fish War," RAND Journal of Economics, The RAND Corporation, vol. 18(4), pages 596-610, Winter.
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    Cited by:
    1. Ramey, Garey & Watson, Joel, 2000. "Conditioning Institutions and Renegotiation," University of California at San Diego, Economics Working Paper Series qt5zd216tw, Department of Economics, UC San Diego.

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