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Three principles of competitive nonlinear pricing


  • Page, Frank Jr.
  • Monteiro, Paulo K.


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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  • Page, Frank Jr. & Monteiro, Paulo K., 2003. "Three principles of competitive nonlinear pricing," Journal of Mathematical Economics, Elsevier, vol. 39(1-2), pages 63-109, February.
  • Handle: RePEc:eee:mateco:v:39:y:2003:i:1-2:p:63-109

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    References listed on IDEAS

    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.
    2. 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.
    3. Myerson, Roger B., 1982. "Optimal coordination mechanisms in generalized principal-agent problems," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 67-81, June.
    4. Page, Frank H, Jr, 1992. "Mechanism Design for General Screening Problems with Moral Hazard," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(2), pages 265-281, April.
    5. 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.
    6. Peter J. Hammond, 1979. "Straightforward Individual Incentive Compatibility in Large Economies," Review of Economic Studies, Oxford University Press, vol. 46(2), pages 263-282.
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    JEL classification:

    • D4 - Microeconomics - - Market Structure, Pricing, and Design


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