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Three principles of competitive nonlinear pricing

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Author Info
Frank H. Page (University of Alabama)
Paulo Klinger Monteiro (EPGE-FGV)

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Abstract

We make three contributions to the theory of contracting under asymmetric information. First, we establish a competitive analog to the revelation principle which we call the implementation principle. This principle provides a complete characterization of all incentive compatible, indirect contracting mechanisms in terms of contract catalogs, and allows us to conclude that in competitive contracting situations, firms in choosing their contracting strategies can restrict attention to contract catalogs. Second, we establish a competitive taxation principle. This principle, a refinement of the implementation principle, provides a complete characterization of all implementable nonlinear pricing schedules in terms of product-price catalogs and allows us to reduce any game played over nonlinear pricing schedules to a strategically equivalent game played over product price catalogs. Third, using the existence of Nash equilibria in discontinuous games, we demonstrate the existence of Nash equilibria for the mixed extension of the nonlinear pricing game.

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Paper provided by EconWPA in its series Game Theory and Information with number 0204001.

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Length: 44 pages
Date of creation: 04 Apr 2002
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Handle: RePEc:wpa:wuwpga:0204001

Note: Type of Document - latex; prepared on ScW; pages: 44
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Web page: http://129.3.20.41

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Keywords: nonlinear pricing;

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Find related papers by JEL classification:
D4 - Microeconomics - - Market Structure and Pricing

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References listed on IDEAS
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. Rochet, J. C., 1985. "The taxation principle and multi-time Hamilton-Jacobi equations," Journal of Mathematical Economics, Elsevier, vol. 14(2), pages 113-128, April. [Downloadable!] (restricted)
  2. Page, Frank H, Jr, 1992. "Mechanism Design for General Screening Problems with Moral Hazard," Economic Theory, Springer, vol. 2(2), pages 265-81, April.
  3. Carlier, Guillaume, 2001. "A general existence result for the principal-agent problem with adverse selection," Journal of Mathematical Economics, Elsevier, vol. 35(1), pages 129-150, February. [Downloadable!] (restricted)
  4. Philip J. Reny, 1999. "On the Existence of Pure and Mixed Strategy Nash Equilibria in Discontinuous Games," Econometrica, Econometric Society, vol. 67(5), pages 1029-1056, September.
  5. repec:cup:cbooks:9780521629560 is not listed on IDEAS
  6. Myerson, Roger B., 1982. "Optimal coordination mechanisms in generalized principal-agent problems," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 67-81, June. [Downloadable!] (restricted)
  7. Hammond, Peter J, 1979. "Straightforward Individual Incentive Compatibility in Large Economies," Review of Economic Studies, Blackwell Publishing, vol. 46(2), pages 263-82, April. [Downloadable!] (restricted)
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Cited by:
(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. Frank H. Page, Jr. & Paulo K. Monteiro, 2007. "Endogenous Mechanisms and Nash Equilibrium in Competitive Contracting," Caepr Working Papers 2007-025, Center for Applied Economics and Policy Research, Economics Department, Indiana University Bloomington. [Downloadable!]
  2. Guilherme Carmona & José Fajardo, 2006. "Existence of Equilibrium in Common Agency Games with Adverse Selection," IBMEC RJ Economics Discussion Papers 2006-05, Economics Research Group, IBMEC Business School - Rio de Janeiro. [Downloadable!]
    Other versions:
  3. Schmitz, Patrick W., 2003. "On Second Price Auctions and Imperfect Competition," CEPR Discussion Papers 3774, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
    Other versions:
  4. Paulo Klinger Monteiro & Frank H. Page Jr, 2005. "Uniform payoff security and Nash equilibrium in metric games," Cahiers de la Maison des Sciences Economiques b05086, Université Panthéon-Sorbonne (Paris 1). [Downloadable!]
    Other versions:
  5. Nuno Gouveia, 2004. "General equilibrium with asymmetric information and default penalties," Cahiers de la Maison des Sciences Economiques b05051, Université Panthéon-Sorbonne (Paris 1), revised Jan 2005. [Downloadable!]
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