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Oligopolistic competition as a common agency game

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

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 toughness is derived from the first order conditions of this 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 nonintrinsic 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, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 2005018.

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Date of creation: 00 Feb 2005
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Handle: RePEc:cor:louvco:2005018

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References

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  1. David Martimort & Lars Stole, 2002. "The Revelation and Delegation Principles in Common Agency Games," Econometrica, Econometric Society, vol. 70(4), pages 1659-1673, July.
  2. d'ASPREMONT, Claude & DOS SANTOS FERREIRA, Rodolphe & GERARD-VARET, Louis-André, . "Pricing schemes and Cournotian equilibria," CORE Discussion Papers RP -943, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. 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.
  4. 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).
  5. d’ASPREMONT, Claude & DOS SANTOS FERREIRA, Rodolphe, 2004. "Price-quantity competition with varying toughness," CORE Discussion Papers 2004088, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  6. 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).
  7. Bernheim, B Douglas & Whinston, Michael D, 1986. "Common Agency," Econometrica, Econometric Society, vol. 54(4), pages 923-42, July.
  8. Peters, Michael, 2001. "Common Agency and the Revelation Principle," Econometrica, Econometric Society, vol. 69(5), pages 1349-72, September.
  9. Grether, David M & Plott, Charles R, 1984. "The Effects of Market Practices in Oligopolistic Markets: An Experimental Examination of the Ethyl Case," Economic Inquiry, Western Economic Association International, vol. 22(4), pages 479-507, October.
  10. 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.
  11. David MARTIMORT, 1992. "Multi-principaux avec anti-sélection," Annales d'Economie et de Statistique, ENSAE, issue 28, pages 1-37.
  12. Doyle, Christopher, 1988. "Different selling strategies in Bertrand oligopoly," Economics Letters, Elsevier, vol. 28(4), pages 387-390.
  13. David Martimort & Lars Stole, 2001. "Contractual Externalities and Common Agency Equilibria," CESifo Working Paper Series 581, CESifo Group Munich.
  14. Claudio Mezzetti, 1997. "Common Agency with Horizontally Differentiated Principals," RAND Journal of Economics, The RAND Corporation, vol. 28(2), pages 323-345, Summer.
  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. 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.
  17. Ehud Kalai & Mark A. Satterthwaite, 1986. "The Kinked Demand Curve," Discussion Papers 677, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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Citations

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Cited by:
  1. Han, Seungjin, 2012. "On take it or leave it offers in common agency," Economics Letters, Elsevier, vol. 117(3), pages 777-781.
  2. 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.
  3. 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.
  4. 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.
  5. 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.

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