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On the existence of Bayesian Cournot equilibrium

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  • Ezra Einy

    ()

  • Ori Haimanko

    ()

  • Diego Moreno

    ()

  • Benyamin Shitovitz

    ()

Abstract

We show that even in very simple oligopolies with differential information a (Bayesian) Cournot equilibrium in pure strategies may not exist, or be unique. However, we 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 allowed.

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Bibliographic Info

Paper provided by Universidad Carlos III, Departamento de Economía in its series Economics Working Papers with number we070603.

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Date of creation: Mar 2007
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Handle: RePEc:cte:werepe:we070603

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  1. 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.
  2. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
  3. 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.
  4. Sakai, Yasuhiro, 1985. "The value of information in a simple duopoly model," Journal of Economic Theory, Elsevier, vol. 36(1), pages 36-54, June.
  5. Gal-Or, Esther, 1985. "Information Sharing in Oligopoly," Econometrica, Econometric Society, vol. 53(2), pages 329-43, March.
  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. Lagerlof, Johan N.M., 2007. "Insisting on a non-negative price: Oligopoly, uncertainty, welfare, and multiple equilibria," International Journal of Industrial Organization, Elsevier, vol. 25(4), pages 861-875, August.
  8. Shapiro, Carl, 1986. "Exchange of Cost Information in Oligopoly," Review of Economic Studies, Wiley Blackwell, vol. 53(3), pages 433-46, July.
  9. Vives, Xavier, 1984. "Duopoly information equilibrium: Cournot and bertrand," Journal of Economic Theory, Elsevier, vol. 34(1), pages 71-94, October.
  10. Raith, Michael, 1996. "A General Model of Information Sharing in Oligopoly," Journal of Economic Theory, Elsevier, vol. 71(1), pages 260-288, October.
  11. Einy, Ezra & Moreno, Diego & Shitovitz, Benyamin, 2002. "Information Advantage in Cournot Oligopoly," Journal of Economic Theory, Elsevier, vol. 106(1), pages 151-160, September.
  12. 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.
  13. Kukushkin, Nikolai S., 1994. "A fixed-point theorem for decreasing mappings," Economics Letters, Elsevier, vol. 46(1), pages 23-26, September.
  14. Novshek, William, 1985. "On the Existence of Cournot Equilibrium," Review of Economic Studies, Wiley Blackwell, vol. 52(1), pages 85-98, January.
  15. 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.
  16. 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.
  17. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-77, November.
  18. 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.
  19. Gal-Or, Esther, 1986. "Information Transmission-Cournot and Bertrand Equilibria," Review of Economic Studies, Wiley Blackwell, vol. 53(1), pages 85-92, January.
  20. Vives, Xavier, 1988. "Aggregation of Information in Large Cournot Markets," Econometrica, Econometric Society, vol. 56(4), pages 851-76, July.
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Citations

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Cited by:
  1. Robert R. Routledge, 2009. "On the existence of Bayesian Bertrand equilibrium," The School of Economics Discussion Paper Series 0917, Economics, The University of Manchester.
  2. Ezra Einy & Ori Haimanko & Diego Moreno & Benyamin Shitovitz, 2007. "On the Existence of Bayesian Cournot Equilibrium," Working Papers 0715, Ben-Gurion University of the Negev, Department of Economics.
  3. Richter, Jan, 2013. "Incomplete Information in Cournot Oligopoly: The Case of Unknown Production Capacities," EWI Working Papers 2013-1, Energiewirtschaftliches Institut an der Universitaet zu Koeln.
  4. Richter, Jan & Viehmann, Johannes, 2014. "The value of information in explicit cross-border capacity auction regimes in electricity markets," Energy Policy, Elsevier, vol. 70(C), pages 74-84.
  5. Routledge, Robert R., 2010. "Bertrand competition with cost uncertainty," Economics Letters, Elsevier, vol. 107(3), pages 356-359, June.

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