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Noncooperative oligopoly in markets with a continuum of traders

  • Busetto, Francesca
  • Codognato, Giulio
  • Ghosal, Sayantan

We show the existence of a pure strategy Cournot-Nash equilibrium for a model of noncooperative exchange where large traders, represented as atoms, and small traders, represented by an atomless part, are allowed to buy and sell all commodities.

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Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 72 (2011)
Issue (Month): 1 (May)
Pages: 38-45

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Handle: RePEc:eee:gamebe:v:72:y:2011:i:1:p:38-45
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622836

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  1. Jaskold Gabszewicz, Jean & Vial, Jean-Philippe, 1972. "Oligopoly "A la cournot" in a general equilibrium analysis," Journal of Economic Theory, Elsevier, vol. 4(3), pages 381-400, June.
  2. GABSZEWICZ, Jean & MICHEL, Philippe, 1992. "Oligopoly equilibria in exchange economies," CORE Discussion Papers 1992047, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. CODOGNATO, Giulio & GHOSAL, Sayantan, . "Cournot-Nash equilibria in limit exchange economies with complete markets and consistent prices," CORE Discussion Papers RP -1461, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. d'ASPREMONT, C. & DOS SANTOS FERREIRA, R. & ÉRARD-VARET, L.-A., . "General equilibrium concepts under imperfect competition: a Cournotian approach," CORE Discussion Papers RP -1259, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  5. Roberts, John & Sonnenschein, Hugo, 1977. "On the Foundations of the Theory of Monopolistic Competition," Econometrica, Econometric Society, vol. 45(1), pages 101-13, January.
  6. Okuno, Masahiro & Postlewaite, Andrew & Roberts, John, 1980. "Oligopoly and Competition in Large Markets," American Economic Review, American Economic Association, vol. 70(1), pages 22-31, March.
  7. Roberts, Kevin, 1980. "The limit points of monopolistic competition," Journal of Economic Theory, Elsevier, vol. 22(2), pages 256-278, April.
  8. Peck, James & Shell, Karl & Spear, Stephen E., 1992. "The market game: existence and structure of equilibrium," Journal of Mathematical Economics, Elsevier, vol. 21(3), pages 271-299.
  9. CODOGNATO, Giulio & GABSZEWICZ, Jean J., . "Cournot-Walras equilibria in markets with a continuum of traders," CORE Discussion Papers RP -1041, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  10. Jean-Marc Bonnisseau & Michael Florig, 2003. "Existence and optimality of oligopoly equilibria in linear exchange economies," Economic Theory, Springer, vol. 22(4), pages 727-741, November.
  11. Shitovitz, Benyamin, 1973. "Oligopoly in Markets with a Continuum of Traders," Econometrica, Econometric Society, vol. 41(3), pages 467-501, May.
  12. Rabah Amir & Siddhartha Sahi & Martin Shubik, 1986. "A Strategic Market Game with Complete Markets," Cowles Foundation Discussion Papers 814R, Cowles Foundation for Research in Economics, Yale University, revised Sep 1987.
  13. Artstein, Zvi, 1979. "A note on fatou's lemma in several dimensions," Journal of Mathematical Economics, Elsevier, vol. 6(3), pages 277-282, December.
  14. Dubey, Pradeep & Shapley, Lloyd S., 1994. "Noncooperative general exchange with a continuum of traders: Two models," Journal of Mathematical Economics, Elsevier, vol. 23(3), pages 253-293, May.
  15. Lahmandi-Ayed, R, 1996. "Oligopoly Equilibria in Exchange Economies : Limit Theorems," Papiers d'Economie Mathématique et Applications 96.07, Université Panthéon-Sorbonne (Paris 1).
  16. Postlewaite, A & Schmeidler, David, 1978. "Approximate Efficiency of Non-Walrasian Nash Equilibria," Econometrica, Econometric Society, vol. 46(1), pages 127-35, January.
  17. Shapley, Lloyd S & Shubik, Martin, 1977. "Trade Using One Commodity as a Means of Payment," Journal of Political Economy, University of Chicago Press, vol. 85(5), pages 937-68, October.
  18. Busetto, Francesca & Codognato, Giulio & Ghosal, Sayantan, 2008. "Cournot-Walras Equilibrium as a Subgame Perfect Equilibrium," The Warwick Economics Research Paper Series (TWERPS) 837, University of Warwick, Department of Economics.
  19. Benyamin Shitovitz, 1997. "A comparison between the core and the monopoly solutions in a mixed exchange economy," Economic Theory, Springer, vol. 10(3), pages 559-563.
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