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Contractual Externalities and Common Agency Equilibria

Author

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  • Martimort David

    (Universite de Toulouse (IDEI-GREMAQ))

  • Stole Lars

    (University of Chicago, GSB)

Abstract

This paper characterizes the equilibrium sets of common agency games with direct externalities between principals when they compete with nonlinear prices. Direct externalities arise when the contracting variable of one principal directly affects the other principal's payoff. First, we characterize the set of pure-strategy, symmetric equilibria under complete information of an intrinsic common agency game. This set of equilibria is large because of the presence of price-output offers by the principals that are unchosen by the agent in equilibrium. Equilibria exist in which principals offer out-of-equilibrium price-output choices to the agent and induce aggressive, low-price behavior corresponding to marginal-cost pricing in the extreme case. We then show that this equilibrium set of outputs is robust to the possibility that agent refuses any of the offered contracts; the case of delegated agency. Second, we introduce asymmetric information in order to rationalize existing nonlinear pricing contracts. The introduction of asymmetric information has the effect of restricting the set of equilibrium outputs of the intrinsic common agency game.

Suggested Citation

  • Martimort David & Stole Lars, 2003. "Contractual Externalities and Common Agency Equilibria," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 3(1), pages 1-40, July.
  • Handle: RePEc:bpj:bejtec:v:advances.3:y:2003:i:1:n:4
    DOI: 10.2202/1534-5963.1037
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    1. Daniel P. O'Brien & Greg Shaffer, 1992. "Vertical Control with Bilateral Contracts," RAND Journal of Economics, The RAND Corporation, vol. 23(3), pages 299-308, Autumn.
    2. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716.
    3. Grossman, Gene M & Helpman, Elhanan, 1994. "Protection for Sale," American Economic Review, American Economic Association, vol. 84(4), pages 833-850, September.
    4. David Martimort, 1996. "Exclusive Dealing, Common Agency, and Multiprincipals Incentive Theory," RAND Journal of Economics, The RAND Corporation, vol. 27(1), pages 1-19, Spring.
    5. Robert Wilson, 1979. "Auctions of Shares," The Quarterly Journal of Economics, Oxford University Press, vol. 93(4), pages 675-689.
    6. Guesnerie,Roger, 1998. "A Contribution to the Pure Theory of Taxation," Cambridge Books, Cambridge University Press, number 9780521629560.
    7. Oliver Hart & Jean Tirole, 1990. "Vertical Integration and Market Foreclosure," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 21(1990 Micr), pages 205-286.
    8. Fershtman, Chaim & Judd, Kenneth L & Kalai, Ehud, 1991. "Observable Contracts: Strategic Delegation and Cooperation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(3), pages 551-559, August.
    9. Green, Jerry & Laffont, Jean-Jacques, 1977. "Characterization of Satisfactory Mechanisms for the Revelation of Preferences for Public Goods," Econometrica, Econometric Society, vol. 45(2), pages 427-438, March.
    10. B. Douglas Bernheim & Michael D. Whinston, 1986. "Menu Auctions, Resource Allocation, and Economic Influence," The Quarterly Journal of Economics, Oxford University Press, vol. 101(1), pages 1-31.
    11. Peters, Michael, 2001. "Common Agency and the Revelation Principle," Econometrica, Econometric Society, vol. 69(5), pages 1349-1372, September.
    12. Myerson, Roger B, 1979. "Incentive Compatibility and the Bargaining Problem," Econometrica, Econometric Society, vol. 47(1), pages 61-73, January.
    13. David Martimort, 1992. "Multi-principaux avec anti-sélection," Annals of Economics and Statistics, GENES, issue 28, pages 1-37.
    14. David Martimort & Lars Stole, 2002. "The Revelation and Delegation Principles in Common Agency Games," Econometrica, Econometric Society, vol. 70(4), pages 1659-1673, July.
    15. Jean‐Jacques Laffont & David Martimort, 1997. "The Firm as a Multicontract Organization," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 6(2), pages 201-234, June.
    16. Ilya Segal, 1999. "Contracting with Externalities," The Quarterly Journal of Economics, Oxford University Press, vol. 114(2), pages 337-388.
    17. Michael L. Katz, 1991. "Game-Playing Agents: Unobservable Contracts as Precommitments," RAND Journal of Economics, The RAND Corporation, vol. 22(3), pages 307-328, Autumn.
    18. McAfee, R Preston, 1993. "Mechanism Design by Competing Sellers," Econometrica, Econometric Society, vol. 61(6), pages 1281-1312, November.
    19. Klemperer, Paul D & Meyer, Margaret A, 1989. "Supply Function Equilibria in Oligopoly under Uncertainty," Econometrica, Econometric Society, vol. 57(6), pages 1243-1277, November.
    20. James J. Anton & Dennis A. Yao, 1989. "Split Awards, Procurement, and Innovation," RAND Journal of Economics, The RAND Corporation, vol. 20(4), pages 538-552, Winter.
    21. Myerson, Roger B., 1982. "Optimal coordination mechanisms in generalized principal-agent problems," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 67-81, June.
    22. McAfee, R Preston & Schwartz, Marius, 1994. "Opportunism in Multilateral Vertical Contracting: Nondiscrimination, Exclusivity, and Uniformity," American Economic Review, American Economic Association, vol. 84(1), pages 210-230, March.
    23. Harris Milton & Townsend, Robert M, 1981. "Resource Allocation under Asymmetric Information," Econometrica, Econometric Society, vol. 49(1), pages 33-64, January.
    24. Epstein, Larry G. & Peters, Michael, 1999. "A Revelation Principle for Competing Mechanisms," Journal of Economic Theory, Elsevier, vol. 88(1), pages 119-160, September.
    25. Claudio Mezzetti, 1997. "Common Agency with Horizontally Differentiated Principals," RAND Journal of Economics, The RAND Corporation, vol. 28(2), pages 323-345, Summer.
    26. David Martimort & Lars Stole, 2009. "Market participation in delegated and intrinsic common‐agency games," RAND Journal of Economics, RAND Corporation, vol. 40(1), pages 78-102, March.
    27. Caillaud, Bernard & Jullien, B & Picard, P, 1995. "Competing Vertical Structures: Precommitment and Renegotiation," Econometrica, Econometric Society, vol. 63(3), pages 621-646, May.
    28. Giacomo Calzolari, 2004. "Incentive Regulation of Multinational Enterprises," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(1), pages 257-282, February.
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    More about this item

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • L51 - Industrial Organization - - Regulation and Industrial Policy - - - Economics of Regulation

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