Competitive selling mechanisms: the delegation principle and farsighted stability
We analyze the problem of competitive mechanism design within the context of a model of product differentiated oligopoly. In our model, ﬁrms compete via their catalogs, that is, via the sets of products (broadly deﬁned) and prices ﬁrms offer to the market (i.e., catalogs are the primitives, while selling mechanisms are derived). In an oligopoly setting, participation by an agent in any one ﬁrm’s catalog is endogenously determined. This fact leads naturally to a modiﬁcation of the classical notion of incentive compatibility for mechanisms. We extend the classical notion of incentive compatibility to take into account endogenous participation, introducing the notion of participation incentive compatibility (PIC). Our main contribution is a characterization of all PIC selling mechanisms in terms of catalogs. In particular, we show that a selling mechanism is PIC if and only if there exists a unique, minimal catalog proﬁle which implements the mechanisms. We call this characterization the delegation principle (Theorem 4). Using the delegation principle, we conclude that in order to solve the problem of competitive mechanism design, an essentially cooperative problem, it is sufficient to consider only the underlying noncooperative problem of catalog choice by ﬁrms. Moreover, using the delegation principle we show that corresponding to each PIC mechanism there is a unique proﬁle of nonlinear pricing schedules which implements the mechanism - thus, extending the taxation principle to problems of competitive nonlinear pricing (Theorem 5). A second contribution is our application of the notion of farsighted stability to the problem of competitive mechanism design. We show that for any approximating ﬁnite subgame (of catalog choice), the farsightedly stable set of catalog proﬁles (and hence the farsightedly stable set of nonlinear pricing schedules) is nonempty (Theorem 10).
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- 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 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.
- Frank H. Page & Paulo Klinger Monteiro, 2002. "Three principles of competitive nonlinear pricing," Game Theory and Information 0204001, EconWPA.
- Page Junior, Frank H. & Monteiro, P. K., 2002. "Three principles of competitive nonlinear pricing," Economics Working Papers (Ensaios Economicos da EPGE) 442, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
- Konishi, Hideo & Le Breton, Michel & Weber, Shlomo, 1999.
"On Coalition-Proof Nash Equilibria in Common Agency Games,"
Journal of Economic Theory,
Elsevier, vol. 85(1), pages 122-139, March.
- KONISHI, Hideo & LE BRETON, Michel & WEBER, Shlomo, . "On coalition-proof Nash equilibria in common agency games," CORE Discussion Papers RP 1383, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- 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.
- Eric Maskin & John Riley, 1984. "Monopoly with Incomplete Information," RAND Journal of Economics, The RAND Corporation, vol. 15(2), pages 171-196, Summer.
- Hans M. Amman & David A. Kendrick, . "Computational Economics," Online economics textbooks, SUNY-Oswego, Department of Economics, number comp1, December.
- Xue, Licun, 1997. "Nonemptiness of the Largest Consistent Set," Journal of Economic Theory, Elsevier, vol. 73(2), pages 453-459, April.
- B. Douglas Bernheim & Michael D. Whinston, 1985. "Common Marketing Agency as a Device for Facilitating Collusion," RAND Journal of Economics, The RAND Corporation, vol. 16(2), pages 269-281, Summer.
- Wilson, Robert, 1996. "Nonlinear pricing and mechanism design," Handbook of Computational Economics, in: H. M. Amman & D. A. Kendrick & J. Rust (ed.), Handbook of Computational Economics, edition 1, volume 1, chapter 5, pages 253-293 Elsevier.
- Artstein, Zvi, 1979. "A note on fatou's lemma in several dimensions," Journal of Mathematical Economics, Elsevier, vol. 6(3), pages 277-282, December.
- J. A. Mirrlees, 1971. "An Exploration in the Theory of Optimum Income Taxation," Review of Economic Studies, Oxford University Press, vol. 38(2), pages 175-208.
- Martimort, D., 1992.
"Exclusive Dealing, Common Agency and Multiprincipals Incentive Thoery,"
92.278, Toulouse - GREMAQ.
- David Martimort, 1996. "Exclusive Dealing, Common Agency, and Multiprincipals Incentive Theory," RAND Journal of Economics, The RAND Corporation, vol. 27(1), pages 1-19, Spring.
- Martimort, David, 1994. "Exclusive Dealing, Common Agency and Multiprincipals Incentive Theory," IDEI Working Papers 43, Institut d'Économie Industrielle (IDEI), Toulouse, revised 1996.
- Didier Laussel & Thomas R. Palfrey, 2003. "Efficient Equilibria in the Voluntary Contributions Mechanism with Private Information," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 5(3), pages 449-478, 07.
- KLINGER MONTEIRO , Paulo & PAGE, Frank H. Jr., 1997.
"Optimal selling mechanisms for multiproduct monopolists : incentive compatibility in the presence of budget constraints,"
CORE Discussion Papers
1997011, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Monteiro, Paulo K. & Page Jr., Frank H., 1998. "Optimal selling mechanisms for multiproduct monopolists: incentive compatibility in the presence of budget constraints," Journal of Mathematical Economics, Elsevier, vol. 30(4), pages 473-502, November.
- Paulo Klinger Monteiro & Frank H. Page Jr., 1996. "Optimal Selling Mechanisms for Multiproduct Monopolists: Incentive Compatibility in the Presence of Budget Constraints," Microeconomics 9610002, EconWPA.
- Myerson, Roger B., 1982. "Optimal coordination mechanisms in generalized principal-agent problems," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 67-81, June.
- Berliant, M. & Page, F.H., 2001. "Income Taxes and Provision of Public Goods: Optima with Balanced Goverment Budgets," Papiers d'Economie MathÃ©matique et Applications 2001.37, UniversitÃ© PanthÃ©on-Sorbonne (Paris 1).
- Bernheim, B Douglas & Whinston, Michael D, 1986. "Common Agency," Econometrica, Econometric Society, vol. 54(4), pages 923-42, July.
- Wilson, Robert, 1997. "Nonlinear Pricing," OUP Catalogue, Oxford University Press, number 9780195115826, December.
- Peter J. Hammond, 1979. "Straightforward Individual Incentive Compatibility in Large Economies," Review of Economic Studies, Oxford University Press, vol. 46(2), pages 263-282.
- 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 265-81, April.
- Laussel, Didier & Le Breton, Michel, 1998. "Efficient Private Production of Public Goods under Common Agency," Games and Economic Behavior, Elsevier, vol. 25(2), pages 194-218, November.
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