Three Principles of Competitive Nonlinear Pricing
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.(This abstract was borrowed from another version of this item.)
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Paper provided by Graduate School of Economics, Getulio Vargas Foundation (Brazil) in its series Economics Working Papers (Ensaios Economicos da EPGE) with number 442.Length:
Date of creation: 01 Mar 2002
Date of revision:
Handle: RePEc:fgv:epgewp:442
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Related research
Keywords:Other versions of this item:
- Frank Page & Paulo Monteiro, 2001. "Three Principles of Competitive Nonlinear Pricing," Economics Bulletin, AccessEcon, vol. 28(11), pages A0.
- 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.
- Page, F.H.Jr. & Monteiro, P.K., 2001. "Three Principles of Competitive Nonlinear Pricing," The Warwick Economics Research Paper Series (TWERPS) 592, University of Warwick, Department of Economics.
- Frank H. Page & Paulo Klinger Monteiro, 2002. "Three principles of competitive nonlinear pricing," Game Theory and Information 0204001, EconWPA.
- D4 - Microeconomics - - Market Structure and Pricing
References
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- 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.
- Page, Frank H, Jr, 1992. "Mechanism Design for General Screening Problems with Moral Hazard," Economic Theory, Springer, vol. 2(2), pages 265-81, April.
- 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.
- 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.
- Myerson, Roger B., 1982. "Optimal coordination mechanisms in generalized principal-agent problems," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 67-81, June.
- Hammond, Peter J, 1979. "Straightforward Individual Incentive Compatibility in Large Economies," Review of Economic Studies, Wiley Blackwell, vol. 46(2), pages 263-82, April.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.Cited by:
- Schmitz, Patrick W., 2003.
"On second-price auctions and imperfect competition,"
Journal of Mathematical Economics,
Elsevier, vol. 39(8), pages 901-909, November.
- Schmitz, Patrick W., 2003. "On Second Price Auctions and Imperfect Competition," CEPR Discussion Papers 3774, C.E.P.R. Discussion Papers.
- 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.
- 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.
- Page Jr., Frank H., 2008. "Catalog competition and stable nonlinear prices," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 822-835, July.
- 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.
- 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.
- Ulrich Horst & Santiago Moreno-Bromberg, 2011. "Efficiency and Equilibria in Games of Optimal Derivative Design," Papers 1107.0839, arXiv.org.
- 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).
- Paulo Klinger Monteiro & Frank H. Page Jr., 2005. "Uniform payoff security and Nash equilibrium in metric games," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00197491, HAL.
- Carmona, Guilherme & Fajardo, José, 2009.
"Existence of equilibrium in common agency games with adverse selection,"
Games and Economic Behavior,
Elsevier, vol. 66(2), pages 749-760, July.
- 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.
- 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.
- Oriol Carbonell-Nicolau, 2011. "The Existence of Perfect Equilibrium in Discontinuous Games," Games, MDPI, Open Access Journal, vol. 2(3), pages 235-256, July.
- 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.
- repec:hal:journl:halshs-00195526 is not listed on IDEAS
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