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Contract and Game Theory: Basic Concepts for Settings with Finite Horizons

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  • Watson, Joel

Abstract

This paper reports the analysis of a general model of contract in multi-period settings with both external and self-enforcement. In the model, players alternately engage in contract negotiation and take individual actions. A notion of contractual equilibrium, which combines a bargaining solution and individual incentive constraints, is proposed and analyzed. The modeling framework helps identify the relation between the manner in which players negotiate and the outcome of the long-term contractual relationship. In particular, the model shows the importance of accounting for the selfenforced component of contract in the negotiation process. Examples and guidance for applications are provided.

Suggested Citation

  • Watson, Joel, 2006. "Contract and Game Theory: Basic Concepts for Settings with Finite Horizons," University of California at San Diego, Economics Working Paper Series qt0wx67671, Department of Economics, UC San Diego.
  • Handle: RePEc:cdl:ucsdec:qt0wx67671
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    References listed on IDEAS

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    1. Buzard, Kristy & ,, 2012. "Contract, renegotiation, and hold up: Results on the technology of trade and investment," Theoretical Economics, Econometric Society, vol. 7(2), May.
    2. Jonathan Levin, 2003. "Relational Incentive Contracts," American Economic Review, American Economic Association, vol. 93(3), pages 835-857, June.
    3. Ken Binmore & Ariel Rubinstein & Asher Wolinsky, 1986. "The Nash Bargaining Solution in Economic Modelling," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 176-188, Summer.
    4. Garey Ramey & Joel Watson, 2002. "Contractual Intermediaries," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 18(2), pages 362-384, October.
    5. Klimenko, Mikhail & Ramey, Garey & Watson, Joel, 2008. "Recurrent trade agreements and the value of external enforcement," Journal of International Economics, Elsevier, vol. 74(2), pages 475-499, March.
    6. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," Review of Economic Studies, Oxford University Press, vol. 66(1), pages 23-38.
    7. L. Wade, 1988. "Review," Public Choice, Springer, vol. 58(1), pages 99-100, July.
    8. Nöldeke, Georg & Schmidt, Klaus M., 1995. "Option contracts and renegotiation," Munich Reprints in Economics 19329, University of Munich, Department of Economics.
    9. Bernheim, B Douglas & Whinston, Michael D, 1998. "Incomplete Contracts and Strategic Ambiguity," American Economic Review, American Economic Association, vol. 88(4), pages 902-932, September.
    10. Eric Maskin & John Moore, 1999. "Implementation and Renegotiation," Review of Economic Studies, Oxford University Press, vol. 66(1), pages 39-56.
    11. Buzard, Kristy & ,, 2012. "Contract, renegotiation, and hold up: Results on the technology of trade and investment," Theoretical Economics, Econometric Society, vol. 7(2), May.
    12. Myerson, Roger B., 1982. "Optimal coordination mechanisms in generalized principal-agent problems," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 67-81, June.
    13. Bull, Jesse & Watson, Joel, 2007. "Hard evidence and mechanism design," Games and Economic Behavior, Elsevier, vol. 58(1), pages 75-93, January.
    14. Edlin, Aaron S & Hermalin, Benjamin E, 2000. "Contract Renegotiation and Options in Agency Problems," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 16(2), pages 395-423, October.
    15. Oliver Hart & John Moore, 1999. "Foundations of Incomplete Contracts," Review of Economic Studies, Oxford University Press, vol. 66(1), pages 115-138.
    16. Georg Noeldeke & Klaus Schmidt, 1998. "Sequential Investments and Options to Own," RAND Journal of Economics, The RAND Corporation, vol. 29(4), pages 633-653, Winter.
    17. Joseph Farrell & Matthew Rabin, 1996. "Cheap Talk," Journal of Economic Perspectives, American Economic Association, vol. 10(3), pages 103-118, Summer.
    18. Mathias Dewatripont, 1989. "Renegotiation and Information Revelation Over Time: The Case of Optimal Labor Contracts," The Quarterly Journal of Economics, Oxford University Press, vol. 104(3), pages 589-619.
    19. Benoit, Jean-Pierre & Krishna, Vijay, 1993. "Renegotiation in Finitely Repeated Games," Econometrica, Econometric Society, vol. 61(2), pages 303-323, March.
    20. James R. Brennan & Joel Watson, 2013. "The Renegotiation-Proofness Principle and Costly Renegotiation," Games, MDPI, vol. 4(3), pages 1-20, July.
    21. Pearce, David G. & Stacchetti, Ennio, 1998. "The Interaction of Implicit and Explicit Contracts in Repeated Agency," Games and Economic Behavior, Elsevier, vol. 23(1), pages 75-96, April.
    22. Donald B. Hausch & Yeon-Koo Che, 1999. "Cooperative Investments and the Value of Contracting," American Economic Review, American Economic Association, vol. 89(1), pages 125-147, March.
    23. Joel Watson, 2007. "Contract, Mechanism Design, and Technological Detail," Econometrica, Econometric Society, vol. 75(1), pages 55-81, January.
    24. Bull, Jesse & Watson, Joel, 2004. "Evidence disclosure and verifiability," Journal of Economic Theory, Elsevier, vol. 118(1), pages 1-31, September.
    25. Alan Schwartz, 2004. "The Law and Economics of Costly Contracting," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 20(1), pages 2-31, April.
    26. Leonid Hurwicz, 1994. "Economic design, adjustment processes, mechanisms, and institutions," Review of Economic Design, Springer;Society for Economic Design, vol. 1(1), pages 1-14, December.
    27. Clive Bull, 1987. "The Existence of Self-Enforcing Implicit Contracts," The Quarterly Journal of Economics, Oxford University Press, vol. 102(1), pages 147-159.
    28. Schmidt, Klaus M. & Schnitzer, Monika, 1995. "The interaction of explicit and implicit contracts," Economics Letters, Elsevier, vol. 48(2), pages 193-199, May.
    29. MacLeod, W Bentley & Malcomson, James M, 1993. "Investments, Holdup, and the Form of Market Contracts," American Economic Review, American Economic Association, vol. 83(4), pages 811-837, September.
    30. Ilya Segal, 1999. "Complexity and Renegotiation: A Foundation for Incomplete Contracts," Review of Economic Studies, Oxford University Press, vol. 66(1), pages 57-82.
    31. Jean-Jacques Laffont & Jean Tirole, 1990. "Adverse Selection and Renegotiation in Procurement," Review of Economic Studies, Oxford University Press, vol. 57(4), pages 597-625.
    32. Edlin, Aaron S & Reichelstein, Stefan, 1996. "Holdups, Standard Breach Remedies, and Optimal Investment," American Economic Review, American Economic Association, vol. 86(3), pages 478-501, June.
    33. David A. Miller & Joel Watson, 2013. "A Theory of Disagreement in Repeated Games With Bargaining," Econometrica, Econometric Society, vol. 81(6), pages 2303-2350, November.
    34. Hart, Oliver D & Moore, John, 1988. "Incomplete Contracts and Renegotiation," Econometrica, Econometric Society, vol. 56(4), pages 755-785, July.
    35. Rabin Matthew, 1994. "A Model of Pre-game Communication," Journal of Economic Theory, Elsevier, vol. 63(2), pages 370-391, August.
    36. Moore, John & Repullo, Rafael, 1988. "Subgame Perfect Implementation," Econometrica, Econometric Society, vol. 56(5), pages 1191-1220, September.
    37. Ilya Segal & Michael D. Whinston, 2002. "The Mirrlees Approach to Mechanism Design with Renegotiation (with Applications to Hold-up and Risk Sharing)," Econometrica, Econometric Society, vol. 70(1), pages 1-45, January.
    38. Ramey Garey & Watson Joel, 2001. "Bilateral Trade and Opportunism in a Matching Market," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 1(1), pages 1-35, November.
    39. Roth, David, 1996. "A Theory of Partnership Dynamics," Games and Economic Behavior, Elsevier, vol. 12(1), pages 95-112, January.
    40. Watson, Joel, 2006. "Contract and Mechanism Design in Settings with Multi-Period Trade," University of California at San Diego, Economics Working Paper Series qt63s1s3j6, Department of Economics, UC San Diego.
    41. Georg Noldeke & Klaus M. Schmidt, 1995. "Option Contracts and Renegotiation: A Solution to the Hold-Up Problem," RAND Journal of Economics, The RAND Corporation, vol. 26(2), pages 163-179, Summer.
    42. Santos, Vasco, 2000. "Alternating-announcements cheap talk," Journal of Economic Behavior & Organization, Elsevier, vol. 42(3), pages 405-416, July.
    43. George Baker & Robert Gibbons & Kevin J. Murphy, 2002. "Relational Contracts and the Theory of the Firm," The Quarterly Journal of Economics, Oxford University Press, vol. 117(1), pages 39-84.
    44. MacLeod, W Bentley & Malcomson, James M, 1989. "Implicit Contracts, Incentive Compatibility, and Involuntary Unemployment," Econometrica, Econometric Society, vol. 57(2), pages 447-480, March.
    45. Telser, L G, 1980. "A Theory of Self-enforcing Agreements," The Journal of Business, University of Chicago Press, vol. 53(1), pages 27-44, January.
    46. Oliver D. Hart & Jean Tirole, 1988. "Contract Renegotiation and Coasian Dynamics," Review of Economic Studies, Oxford University Press, vol. 55(4), pages 509-540.
    47. Alan Schwartz & Joel Watson, "undated". "The Law and Economics of Costly Contracting," Yale Law School John M. Olin Center for Studies in Law, Economics, and Public Policy Working Paper Series yale_lepp-1004, Yale Law School John M. Olin Center for Studies in Law, Economics, and Public Policy.
    48. Arvan, Lanny & Cabral, Luis & Santos, Vasco, 1999. "Meaningful cheap talk must improve equilibrium payoffs," Mathematical Social Sciences, Elsevier, vol. 37(1), pages 97-106, January.
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    Cited by:

    1. Joel Watson & David A. Miller & Trond E. Olsen, 2020. "Relational Contracting, Negotiation, and External Enforcement," American Economic Review, American Economic Association, vol. 110(7), pages 2153-2197, July.
    2. Gjertsen, H & Groves, T & Miller, DA & Niesten, E & Squires, D & Watson, J, 2021. "Conservation agreements: Relational contracts with endogenous monitoring," University of California at San Diego, Economics Working Paper Series qt6zq3g110, Department of Economics, UC San Diego.
    3. Mahendra Piraveenan, 2019. "Applications of Game Theory in Project Management: A Structured Review and Analysis," Mathematics, MDPI, vol. 7(9), pages 1-31, September.
    4. David A. Miller & Joel Watson, 2013. "A Theory of Disagreement in Repeated Games With Bargaining," Econometrica, Econometric Society, vol. 81(6), pages 2303-2350, November.
    5. Hua, Xiameng & Watson, Joel, 2022. "Starting small in project choice: A discrete-time setting with a continuum of types," Journal of Economic Theory, Elsevier, vol. 204(C).
    6. Joel Watson, 2021. "Theoretical Foundations of Relational Incentive Contracts," Annual Review of Economics, Annual Reviews, vol. 13(1), pages 631-659, August.

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    More about this item

    Keywords

    contract; games; self-enforcement; external enforcement; bargaining protocols; disagreement points; contractual equilibrium; hold up;
    All these keywords.

    JEL classification:

    • C - Mathematical and Quantitative Methods
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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