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On the Existence of Bayesian Cournot Equilibrium

  • Ezra Einy


    (Department of Economics, Ben-Gurion University of the Negev,Israel)

  • Ori Haimanko


    (Dept. of Economics, Ben-Gurion University of the Negev, Israel)

  • Diego Moreno


    (Departamento de Economia, Universidad Carlos III de Madrid, Spain)

  • Benyamin Shitovitz


    (Department of Economics, University of Haifa, Israel.)

We show that even in very simple oligopolies with di¤erential information a (Bayesian) Cournot equilibrium in pure strategies may not exist, or be unique. However, we ?nd su¢ cient conditions for existence, and for uniqueness, of Cournot equilibrium in a certain class of industries. More general results arise when negative prices are allowed.

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Paper provided by Ben-Gurion University of the Negev, Department of Economics in its series Working Papers with number 0702.

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Length: 32 pages
Date of creation: 2007
Date of revision:
Handle: RePEc:bgu:wpaper:0702
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  1. Ezra Einy & Ori Haimanko & Diego Moreno & Benyamin Shitovitz, 2007. "On the Existence of Bayesian Cournot Equilibrium," Working Papers 0702, Ben-Gurion University of the Negev, Department of Economics.
  2. Johan Lagerlöf, 2003. "Insisting on a Non-Negative Price: Oligopoly, Uncertainty, Welfare, and Multiple Equilibria," CIG Working Papers SP II 2003-04, Wissenschaftszentrum Berlin (WZB), Research Unit: Competition and Innovation (CIG).
  3. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
  4. William Novshek, 1985. "On the Existence of Cournot Equilibrium," Review of Economic Studies, Oxford University Press, vol. 52(1), pages 85-98.
  5. Carl Shapiro, 1986. "Exchange of Cost Information in Oligopoly," Review of Economic Studies, Oxford University Press, vol. 53(3), pages 433-446.
  6. Kukushkin, Nikolai S., 1994. "A fixed-point theorem for decreasing mappings," Economics Letters, Elsevier, vol. 46(1), pages 23-26, September.
  7. Gal-Or, Esther, 1985. "Information Sharing in Oligopoly," Econometrica, Econometric Society, vol. 53(2), pages 329-43, March.
  8. Moreno, Diego & Shitovitz, Benyamin & Einy, Ezra, 2002. "The value of public information in a cournot duopoly," UC3M Working papers. Economics we024617, Universidad Carlos III de Madrid. Departamento de Economía.
  9. Einy, Ezra & Moreno, Diego & Shitovitz, Benyamin, 2002. "Information Advantage in Cournot Oligopoly," Journal of Economic Theory, Elsevier, vol. 106(1), pages 151-160, September.
  10. Vives, Xavier, 1984. "Duopoly information equilibrium: Cournot and bertrand," Journal of Economic Theory, Elsevier, vol. 34(1), pages 71-94, October.
  11. Shlomit Hon-Snir & Benyamin Shitovitz & Menahem Spiegel, 2010. "Bayesian Equilibrium in a Public Good Economy," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 12(2), pages 387-398, 04.
  12. Lagerlöf Johan N.M., 2006. "Equilibrium Uniqueness in a Cournot Model with Demand Uncertainty," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 6(1), pages 1-6, December.
  13. AMIR, Rabah, 1994. "Cournot Oligopoly and the Theory of Supermodular Games," CORE Discussion Papers 1994013, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  14. Sakai, Yasuhiro, 1985. "The value of information in a simple duopoly model," Journal of Economic Theory, Elsevier, vol. 36(1), pages 36-54, June.
  15. Szidarovszky, F & Yakowitz, S, 1977. "A New Proof of the Existence and Uniqueness of the Cournot Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 18(3), pages 787-89, October.
  16. Vives, Xavier, 1988. "Aggregation of Information in Large Cournot Markets," Econometrica, Econometric Society, vol. 56(4), pages 851-76, July.
  17. Raith, Michael, 1996. "A General Model of Information Sharing in Oligopoly," Journal of Economic Theory, Elsevier, vol. 71(1), pages 260-288, October.
  18. Esther Gal-or, 1986. "Information Transmission—Cournot and Bertrand Equilibria," Review of Economic Studies, Oxford University Press, vol. 53(1), pages 85-92.
  19. Malueg, David A & Tsutsui, Shunichi O, 1998. "Oligopoly Information Exchange When Non-negative Price and Output Constraints May Bind," Australian Economic Papers, Wiley Blackwell, vol. 37(4), pages 363-71, December.
  20. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x, December.
  21. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-77, November.
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