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Three Principles of Competitive Nonlinear Pricing

Author

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  • Frank Page

    (University of Alabama)

  • Paulo Monteiro

    (EPGE/FGV, Brazil)

Abstract

This paper makes three contributions: (1) A competitive revelation principle for contracting games in which several principals compete for one privately informed agent. Specifically, given any profile of incentive compatible indirect contracting mechanisms, there exists an incentive compatible direct contracting mechanism that, in all circumstances, generates the same contract selection as the profile of indirect mechanisms. (2) A competitive taxation principle. That is, given any incentive compatible direct contracting mechanism, there exists a unique profile of nonlinear pricing schedules that implements the mechanism and the converse. (3) Existence of Nash equilibrium for the mixed extension of the nonlinear pricing game. This is proven using the taxation principle (2 above) and a result due to Reny, Econometrica 1999. To appear as a CERMSEM, Paris 1, Working Paper and also on http://www.warwick.ac.uk/fac/soc/Economics/research/twerps.html.

Suggested Citation

  • Frank Page & Paulo Monteiro, 2001. "Three Principles of Competitive Nonlinear Pricing," Economics Bulletin, AccessEcon, vol. 28(11), pages 1.
    • Handle: RePEc:ebl:ecbull:eb-01aa0014
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    References listed on IDEAS

    as
    1. PAGE, Frank, 2000. "Competitive selling mechanisms: the delegation principle and farsighted stability," LIDAM Discussion Papers CORE 2000021, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Peter J. Hammond, 1979. "Straightforward Individual Incentive Compatibility in Large Economies," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 46(2), pages 263-282.
    3. Guesnerie,Roger, 1998. "A Contribution to the Pure Theory of Taxation," Cambridge Books, Cambridge University Press, number 9780521629560, October.
    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. C. J. Himmelberg & T. Parthasarathy & F. S. VanVleck, 1976. "Optimal Plans for Dynamic Programming Problems," Mathematics of Operations Research, INFORMS, vol. 1(4), pages 390-394, November.
    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.
    7. 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.
    8. 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.
    9. 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.
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    More about this item

    JEL classification:

    • D4 - Microeconomics - - Market Structure, Pricing, and Design
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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