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Oligopolistic competition as a common agency game

Listed author(s):
  • d’ASPREMONT, Claude
  • DOS SANTOS FERREIRA, Rodolphe

Oligopolistic competition is analyzed in a complete information multi-principal common agency framework, where principals are firms supplying differentiated goods and the agent is a representative consumer. We first propose a canonical formulation of common agency games, and a parameterization of the set of equilibria based on the Lagrange multipliers associated with the participation and the incentive compatibility constraints of each principal. This is used to characterize the set of equilibria in the intrinsic and non-intrinsic games. The former includes the latter, as well as the standard price and quantity equilibrium outcomes. It may also include the collusive solution.

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File URL: http://dx.doi.org/10.1016/j.geb.2009.04.025
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Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers RP with number 2238.

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Handle: RePEc:cor:louvrp:2238
Note: In : Games and Economic Behavior, 70(1), 21-33, 2010
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  1. Claude d'Aspremont & Rodolphe Dos Santos Ferreira & Louis-André Gérard-Varet, 2007. "Competition For Market Share Or For Market Size: Oligopolistic Equilibria With Varying Competitive Toughness," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 48(3), pages 761-784, 08.
  2. 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 316-316.
  3. M. Mufakharul Islam, 1986. "Discussion," The Indian Economic & Social History Review, , vol. 23(2), pages 217-226, June.
  4. 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.
  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. Laussel, Didier & Le Breton, Michel, 2001. "Conflict and Cooperation: The Structure of Equilibrium Payoffs in Common Agency," Journal of Economic Theory, Elsevier, vol. 100(1), pages 93-128, September.
  7. d'Aspremont, Claude & Dos Santos Ferreira, Rodolphe, 2009. "Price-quantity competition with varying toughness," Games and Economic Behavior, Elsevier, vol. 65(1), pages 62-82, January.
  8. 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.
  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. Doyle, Christopher, 1988. "Different selling strategies in Bertrand oligopoly," Economics Letters, Elsevier, vol. 28(4), pages 387-390.
  11. Peters, Michael, 2001. "Common Agency and the Revelation Principle," Econometrica, Econometric Society, vol. 69(5), pages 1349-1372, September.
  12. 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 666-673, June.
  13. David Martimort, 1992. "Multi-principaux avec anti-sélection," Annals of Economics and Statistics, GENES, issue 28, pages 1-37.
  14. David Martimort & Lars Stole, 2002. "The Revelation and Delegation Principles in Common Agency Games," Econometrica, Econometric Society, vol. 70(4), pages 1659-1673, July.
  15. 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.
  16. Bernheim, B Douglas & Whinston, Michael D, 1986. "Common Agency," Econometrica, Econometric Society, vol. 54(4), pages 923-942, July.
  17. Claudio Mezzetti, 1997. "Common Agency with Horizontally Differentiated Principals," RAND Journal of Economics, The RAND Corporation, vol. 28(2), pages 323-345, Summer.
  18. 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.
  19. 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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