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Oligopolistic Competition as a Common Agency Game

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  • Claude, D’ASPREMONT
  • Rodolphe, DOS SANTOS FERREIRA

Abstract

In applying the common agency framework to the context of an oligopolistic industry, we want to go beyond the classical dichotomy between Cournot and Bertrand competition. We define two games, the oligopolistic game and the corresponding concept of oligopolistic equilibrium, and an associated auxiliary game that can be interpreted as a common agency game and that has the same set of equilibria. The parameterization of the set of (potential) equilibria in terms of competitive thoughness is derived from the first order conditions of the auxiliary game. The enforceability of monopolistic competition, of price and quantity competition, and of collusion is examined in this framework. We then describe the (reduced) set of equilibria one would obtain, first in the non-intrinsic case and then in the case where a global approach would be adopted instead of partial equilibrium approach. Finally, we illustrate the use of the concept of oligopolistic equilibrium and of the corresponding parameterization by referring to the standard case of symmetric quadratic utility.

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Bibliographic Info

Paper provided by Université catholique de Louvain, Département des Sciences Economiques in its series Discussion Papers (ECON - Département des Sciences Economiques) with number 2005018.

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Length: 32
Date of creation: 01 Feb 2005
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Handle: RePEc:ctl:louvec:2005018

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References

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  1. Martimort David & Stole Lars, 2003. "Contractual Externalities and Common Agency Equilibria," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 3(1), pages 1-40, July.
  2. d'Aspremont, C & Ferreira, R Dos Santos & Gerard-Varet, L-A, 1991. "Pricing Schemes and Cournotian Equilibria," American Economic Review, American Economic Association, vol. 81(3), pages 666-73, June.
  3. d’ASPREMONT, Claude & DOS SANTOS FERREIRA, Rodolphe, . "Price-quantity competition with varying toughness," CORE Discussion Papers RP -2085, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. Martimort, David, 1992. "Multi-Principaux avec Anti-Sélection," IDEI Working Papers 14, Institut d'Économie Industrielle (IDEI), Toulouse.
  5. Charles A. Holt & David T. Scheffman, 1987. "Facilitating Practices: The Effects of Advance Notice and Best-Price Policies," RAND Journal of Economics, The RAND Corporation, vol. 18(2), pages 187-197, Summer.
  6. Bernheim, B Douglas & Whinston, Michael D, 1986. "Common Agency," Econometrica, Econometric Society, vol. 54(4), pages 923-42, July.
  7. 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.
  8. David Martimort & Lars Stole, 2009. "Market participation in delegated and intrinsic common-agency games," RAND Journal of Economics, RAND Corporation, vol. 40(1), pages 78-102.
  9. Ehud Kalai & Mark A. Satterthwaite, 1986. "The Kinked Demand Curve," Discussion Papers 677, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  10. Martimort, D., 1992. "Exclusive Dealing, Common Agency and Multiprincipals Incentive Thoery," Papers 92.278, Toulouse - GREMAQ.
  11. Michael Peters, 1999. "Common Agency and the Revelation Principle," Working Papers peters-99-01, University of Toronto, Department of Economics.
  12. d'ASPREMONT, Claude & DOS SANTOS-FERREIRA, Rodolphe & GÉRARD-VARET, Louis-André, 2003. "Competition for market share or for market size: oligopolistic equilibria with varying competitive toughness," CORE Discussion Papers 2003010, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  13. Claudio Mezzetti, 1997. "Common Agency with Horizontally Differentiated Principals," RAND Journal of Economics, The RAND Corporation, vol. 28(2), pages 323-345, Summer.
  14. LAUSSEL, Didier & LE BRETON, Michel, . "Conflict and cooperation. The structure of equilibrium payoffs in common agency," CORE Discussion Papers RP -1519, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  15. Hugo Sonnenschein, 1968. "The Dual of Duopoly Is Complementary Monopoly: or, Two of Cournot's Theories Are One," Journal of Political Economy, University of Chicago Press, vol. 76, pages 316.
  16. Grether, David M. & Plott, Charles R., . "The Effects of Market Practices in Oligopolistic Markets: An Experimental Examination of the Ethyl Case," Working Papers 404, California Institute of Technology, Division of the Humanities and Social Sciences.
  17. David Martimort & Lars Stole, 2002. "The Revelation and Delegation Principles in Common Agency Games," Econometrica, Econometric Society, vol. 70(4), pages 1659-1673, July.
  18. Doyle, Christopher, 1988. "Different selling strategies in Bertrand oligopoly," Economics Letters, Elsevier, vol. 28(4), pages 387-390.
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Citations

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Cited by:
  1. 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.
  2. Attar, Andrea & Campioni, Eloisa & Piaser, Gwenaël, 2013. "Two-sided communication in competing mechanism games," Journal of Mathematical Economics, Elsevier, vol. 49(1), pages 62-70.
  3. Han, Seungjin, 2011. "On Take It or Leave It Offers in Common Agency," Microeconomics.ca working papers seungjin_han-2011-11, Vancouver School of Economics, revised 30 Aug 2012.
  4. Saul DESIDERIO & Davide DOTTORI, 2007. "A note on competitive toughness: why it should be identified neither with product substitutability, nor (inversely) with concentration. Toward a unified theory of oligopoly," Working Papers 301, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
  5. Andrea Attar & Eloisa Campioni & Gwenael Piaser, 2011. "Information Revelation in Competing Mechanism Games," CEIS Research Paper 205, Tor Vergata University, CEIS, revised 04 Jul 2011.

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