Table of Contents Author Guidelines Submit a Manuscript
Journal of Applied Mathematics
Volume 2013, Article ID 809795, 5 pages
http://dx.doi.org/10.1155/2013/809795
Research Article

The Impact of Cost Uncertainty on Cournot Duopoly Game with Concave Demand Function

1Department of Statistics and Operations Researches, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
2Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

Received 8 September 2013; Revised 24 October 2013; Accepted 24 October 2013

Academic Editor: Pu-yan Nie

Copyright © 2013 S. S. Askar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. A. Sandmo, “On the theory of the competitive firm under price uncertainty,” American Economic Review, vol. 61, no. 1, pp. 65–73, 1971. View at Google Scholar
  2. G. Feder, “The impact of uncertainty in a class of objective functions,” Journal of Economic Theory, vol. 16, no. 2, pp. 504–512, 1977. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  3. V. Dardononi, “Optical choice under uncertainty: the case of two-argument utility function,” Economic Journal, vol. 98, pp. 429–450, 1988. View at Google Scholar
  4. M. Gladstein, S. Nitzan, and S. Slutsky, “The effects of uncertainty on interactive behavior,” Economic Journal, vol. 102, pp. 554–561, 1992. View at Google Scholar
  5. R. N. Clarke, “Collusion and the incentives for information sharing,” Bell Journal of Economics, vol. 14, pp. 383–394, 1983. View at Google Scholar
  6. E. Gal-Or, “Information transmission—Cournot and Bertrand equilibria,” The Review of Economic Studies, vol. 53, no. 1, pp. 85–92, 1986. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  7. A. Kirby, “Trade associations as information exchange mechanism,” The RAND Journal of Economics, vol. 19, no. 1, pp. 138–146, 1988. View at Google Scholar
  8. L. Li, “Cournot oligopoly with information sharing,” The RAND Journal of Economics, vol. 16, no. 4, pp. 521–536, 1985. View at Google Scholar
  9. R. M. Cyert and M. H. Degroot, “Interfirm learning and the kinked demand curve,” Journal of Economic Theory, vol. 3, no. 3, pp. 272–287, 1971. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. R. M. Cyert and M. H. Degroot, “An analysis of cooperation and learning in duopoly context,” American Economic Review, vol. 63, no. 1, pp. 24–37, 1973. View at Google Scholar
  11. A. P. Kirman, “Learning by firms about demand conditions,” in Adaptive Economic Models, H. Day and T. Groves, Eds., pp. 137–156, Academic Press, New York, NY, USA, 1975. View at Google Scholar · View at MathSciNet
  12. R. T. Rockafellar, “Coherent approaches to risk in optimization under uncertainty,” Informs, vol. 13, pp. 38–61, 2007. View at Google Scholar
  13. E. Ahmed, A. S. Hegazi, and A. T. Abdel-Hafiz, “On multi-objective oligopoly,” Nonlinear Dynamics, Psychology, and Life Sciences, vol. 7, no. 2, pp. 205–219, 2003. View at Google Scholar
  14. D. Fudenberg and D. Levine, The Theory in Learning in Games, MIT Press, Cambridge, Mass, USA, 1998.
  15. J. N. Webb, Game Theory: Decisions, Interaction and Evolution, Springer Undergraduate Mathematics Series, Springer, London, UK, 2007. View at MathSciNet
  16. Y. Liu, Nash based strategies for the control of extended complex systems [Ph.D. thesis], Pittsburg University, 2003.
  17. Y. Collette and P. Siarry, Multi-Objective Optimisation: Principles and Case Studies, Springer, Berlin, Germany, 2003.
  18. S. S. Askar, “On complex dynamics of monopoly market,” Economic Modelling, vol. 32, pp. 586–598, 2013. View at Google Scholar
  19. R. T. Rockafellar, “Coherent approaches to risk in optimization under uncertainty,” Informs, vol. 13, pp. 38–61, 2007. View at Google Scholar
  20. G.-I. Bischi, M. Gallegati, and A. Naimzada, “Symmetry-breaking bifurcations and representative firm in dynamic duopoly games,” Annals of Operations Research, vol. 89, pp. 253–272, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  21. G.-I. Bischi, M. Kopel, and A. Naimzada, “On a rent-seeking game described by a non-invertible iterated map with denominator,” Nonlinear Analysis: Theory, Methods & Applications, vol. 47, no. 8, pp. 5309–5324, 2001. View at Publisher · View at Google Scholar · View at Scopus