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Noncooperative oligopoly in markets with a continuum of traders

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

Abstract

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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Bibliographic Info

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

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Web page: http://www.elsevier.com/locate/inca/622836

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Keywords: Noncooperative oligopoly Markets Continuum of traders Atoms Atomless part;

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References

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  1. 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.
  2. Gabszewicz, J. & Michel, P., 1992. "Oligopoly Equilibria in Exchange Economies," Papiers d'Economie Mathématique et Applications 92.26, Université Panthéon-Sorbonne (Paris 1).
  3. 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).
  4. Shitovitz, Benyamin, 1973. "Oligopoly in Markets with a Continuum of Traders," Econometrica, Econometric Society, vol. 41(3), pages 467-501, May.
  5. 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.
  6. d'Aspremont, Claude & Dos Santos Ferreira, Rodolphe & Gerard-Varet, Louis-Andre, 1997. "General Equilibrium Concepts under Imperfect Competition: A Cournotian Approach," Journal of Economic Theory, Elsevier, vol. 73(1), pages 199-230, March.
  7. 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.
  8. 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.
  9. Roberts, Kevin, 1980. "The limit points of monopolistic competition," Journal of Economic Theory, Elsevier, vol. 22(2), pages 256-278, April.
  10. 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.
  11. 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.
  12. Codognato, Giulio & Ghosal, Sayantan, 2000. "Cournot-Nash equilibria in limit exchange economies with complete markets and consistent prices," Journal of Mathematical Economics, Elsevier, vol. 34(1), pages 39-53, August.
  13. 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.
  14. Artstein, Zvi, 1979. "A note on fatou's lemma in several dimensions," Journal of Mathematical Economics, Elsevier, vol. 6(3), pages 277-282, December.
  15. John Roberts & Hugo Sonnenschein, 1976. "On the Foundations of the Theory of Monopolistic Competition," Discussion Papers 169, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  16. Lahmandi-Ayed, R, 1996. "Oligopoly Equilibria in Exchange Economies : Limit Theorems," Papiers d'Economie Mathématique et Applications 96.07, Université Panthéon-Sorbonne (Paris 1).
  17. Postlewaite, A & Schmeidler, David, 1978. "Approximate Efficiency of Non-Walrasian Nash Equilibria," Econometrica, Econometric Society, vol. 46(1), pages 127-35, January.
  18. 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.
  19. 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.
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Citations

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Cited by:
  1. David Mayer-Foulkes, 2011. "Vulnerable Markets," DEGIT Conference Papers c016_040, DEGIT, Dynamics, Economic Growth, and International Trade.
  2. Chatterji, S. & Ghosal, S., 2013. "Liquidity, moral hazard and bank crises," SIRE Discussion Papers 2013-85, Scottish Institute for Research in Economics (SIRE).
  3. Francesca Busetto & Giulio Codognato & Sayantan Ghosal, 2012. "Noncooperative Oligopoly in Markets with a Continuum of Traders: A Limit Theorem," EconomiX Working Papers 2012-49, University of Paris West - Nanterre la Défense, EconomiX.
  4. Francesca Busetto & Giulio Codognato & Sayantan Ghosal, . "Noncooperative oligopoly in markets with a continuum of traders: a limit theorem a la Cournot," Working Papers 2014_01, Business School - Economics, University of Glasgow.
  5. Perets, Hovav & Shitovitz, Benyamin & Spiegel, Menahem, 2012. "Trading equilibrium in a public good economy with smooth preferences and a mixed measure space of consumers," Journal of Mathematical Economics, Elsevier, vol. 48(3), pages 163-169.
  6. Julien, Ludovic A., 2013. "On Stackelberg competition in strategic multilateral exchange," Research in Economics, Elsevier, vol. 67(1), pages 59-75.

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