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Three Principles of Competitive Nonlinear Pricing

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  • Page Junior, Frank H.
  • Monteiro, Paulo Klinger

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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Bibliographic Info

Paper provided by FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil) in its series Economics Working Papers (Ensaios Economicos da EPGE) with number 442.

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Date of creation: 01 Mar 2002
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Handle: RePEc:fgv:epgewp:442

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References

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  1. Hammond, Peter J, 1979. "Straightforward Individual Incentive Compatibility in Large Economies," Review of Economic Studies, Wiley Blackwell, vol. 46(2), pages 263-82, April.
  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.
  4. Myerson, Roger B., 1982. "Optimal coordination mechanisms in generalized principal-agent problems," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 67-81, June.
  5. 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.
  6. 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.
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Citations

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Cited by:
  1. Carmona, Guilherme & Fajardo, Jose, 2006. "Existence of Equilibrium in Common Agency Games with Adverse Selection," FEUNL Working Paper Series wp490, Universidade Nova de Lisboa, Faculdade de Economia.
  2. Page Jr., Frank H., 2008. "Catalog competition and stable nonlinear prices," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 822-835, July.
  3. Monteiro, Paulo K. & Page Jr., Frank H., 2009. "Endogenous mechanisms and Nash equilibrium in competitive contracting games," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 664-678, September.
  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).
  5. Pavlo Prokopovych & Nicholas C.Yannelis, 2013. "On the Existence of Mixed Strategy Nash equilibria," Discussion Papers 50, Kyiv School of Economics.
  6. 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.
  7. Florence LACHET-TOUYA, 2013. "Tax Interactions with Asymmetric Information and Nonlinear Instruments," Working Papers 2012-2013_9, CATT - UPPA - Université de Pau et des Pays de l'Adour, revised Jul 2013.
  8. Massimo Morelli & Huanxing Yang & Lixin Ye, 2010. "Competitive Nonlinear Taxation and Constitutional Choice," Economics Working Papers ECO2010/14, European University Institute.
  9. 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.
  10. repec:hal:journl:halshs-00195526 is not listed on IDEAS
  11. Schmitz, Patrick W., 2003. "On Second Price Auctions and Imperfect Competition," CEPR Discussion Papers 3774, C.E.P.R. Discussion Papers.
  12. Ulrich Horst & Santiago Moreno-Bromberg, 2010. "Efficiency and Equilibria in Games of Optimal Derivative Design," SFB 649 Discussion Papers SFB649DP2010-035, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  13. Martimort, David & Stole, Lars, 2012. "Representing equilibrium aggregates in aggregate games with applications to common agency," Games and Economic Behavior, Elsevier, vol. 76(2), pages 753-772.
  14. Monteiro, Paulo Klinger & Page Jr, Frank H., 2007. "Uniform payoff security and Nash equilibrium in compact games," Journal of Economic Theory, Elsevier, vol. 134(1), pages 566-575, May.
  15. Yu Chen, 2013. "Decentralizability of Multi-Agency Contracting with Bayesian Implementation," Caepr Working Papers 2013-003, Center for Applied Economics and Policy Research, Economics Department, Indiana University Bloomington.
  16. Oriol Carbonell-Nicolau, 2011. "The Existence of Perfect Equilibrium in Discontinuous Games," Games, MDPI, Open Access Journal, vol. 2(3), pages 235-256, July.

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