IDEAS home Printed from
MyIDEAS: Login to save this paper or follow this series

On the Existence of Bayesian Cournot Equilibrium

  • Ezra Einy


    (Department of Economics Ben-Gurion University, Israel)

  • Ori Haimanko


    (Department of Economics, Ben Gurion University, Israel)

  • Diego Moreno


    (Departamento de Econom?a, Universidad Carlos III de Madrid, Spain)

  • Benyamin Shitovitz


    (Department of Economics, University of Haifa, Israel)

We show that when firms have asymmetric information about the market demand and theirs costs, a (Bayesian) Cournot equilibrium in pure strategies may not exist, or be unique. In fact, we are able to construct surprisingly simple and robust examples of duopolies with these features. However, we also find sufficient conditions for existence, and for uniqueness, of Cournot equilibrium in a certain class of industries. More general results arise when negative prices are possible.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL:
Download Restriction: no

Paper provided by Ben-Gurion University of the Negev, Department of Economics in its series Working Papers with number 0715.

in new window

Length: 33 pages
Date of creation: 2007
Date of revision:
Handle: RePEc:bgu:wpaper:0715
Contact details of provider: Postal: P.O.B 653, Beer-Sheva 8410501
Phone: +972-8-647-2268
Fax: +972-8-647-2941
Web page:

More information through EDIRC

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
  2. Johan Lagerlof, 2003. "Insisting on a Non-Negative Price: Oligopoly, Uncertainty, Welfare, and Multiple Equilibria," Industrial Organization 0304007, EconWPA.
  3. Ezra Einy & Ori Haimanko & Diego Moreno & Benyamin Shitovitz, 2007. "On the existence of Bayesian Cournot equilibrium," Economics Working Papers we070603, Universidad Carlos III, Departamento de Economía.
  4. 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.
  5. Ezra Einy & Diego Moreno & Benyamin Shitovitz, 2002. "The Value Of Public Information In A Cournot Duopoly," Economics Working Papers we024617, Universidad Carlos III, Departamento de Economía.
  6. Amir, Rabah, 1996. "Cournot Oligopoly and the Theory of Supermodular Games," Games and Economic Behavior, Elsevier, vol. 15(2), pages 132-148, August.
  7. Kukushkin, Nikolai S., 1994. "A fixed-point theorem for decreasing mappings," Economics Letters, Elsevier, vol. 46(1), pages 23-26, September.
  8. 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.
  9. Vives, Xavier, 1988. "Aggregation of Information in Large Cournot Markets," Econometrica, Econometric Society, vol. 56(4), pages 851-76, July.
  10. Gal-Or, Esther, 1985. "Information Sharing in Oligopoly," Econometrica, Econometric Society, vol. 53(2), pages 329-43, March.
  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. Esther Gal-or, 1986. "Information Transmission—Cournot and Bertrand Equilibria," Review of Economic Studies, Oxford University Press, vol. 53(1), pages 85-92.
  13. Raith, Michael, 1996. "A General Model of Information Sharing in Oligopoly," Journal of Economic Theory, Elsevier, vol. 71(1), pages 260-288, October.
  14. 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.
  15. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-77, November.
  16. Vives, Xavier, 1984. "Duopoly information equilibrium: Cournot and bertrand," Journal of Economic Theory, Elsevier, vol. 34(1), pages 71-94, October.
  17. Sakai, Yasuhiro, 1985. "The value of information in a simple duopoly model," Journal of Economic Theory, Elsevier, vol. 36(1), pages 36-54, June.
  18. William Novshek, 1985. "On the Existence of Cournot Equilibrium," Review of Economic Studies, Oxford University Press, vol. 52(1), pages 85-98.
  19. Einy, Ezra & Moreno, Diego & Shitovitz, Benyamin, 2002. "Information Advantage in Cournot Oligopoly," Journal of Economic Theory, Elsevier, vol. 106(1), pages 151-160, September.
  20. Carl Shapiro, 1986. "Exchange of Cost Information in Oligopoly," Review of Economic Studies, Oxford University Press, vol. 53(3), pages 433-446.
  21. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x, June.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:bgu:wpaper:0715. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Aamer Abu-Qarn)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.