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

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  • S. S. Askar

Abstract

It is reported in the literature that the most fundamental idea to address uncertainty is to begin by condensing random variables. In this paper, we propose Cournot duopoly game where quantity‐setting firms use nonlinear demand function that has no inflection points. A random cost function is introduced in this model. Each firm in the model wants to maximize its expected profit and also wants to minimize its uncertainty by minimizing the cost. To handle this multiobjective optimization problem, the expectation and worst‐case approaches are used. A model of two rational firms that are in competition and produce homogenous commodities is introduced using an unknown demand function. The equilibrium points of this model are obtained and their dynamical characteristics such as stability, bifurcation, and chaos are investigated. Complete stability and bifurcation analysis are provided. The obtained theoretical results are verified by numerical simulation.

Suggested Citation

  • S. S. Askar, 2013. "The Impact of Cost Uncertainty on Cournot Duopoly Game with Concave Demand Function," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:809795
    DOI: 10.1155/2013/809795
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    References listed on IDEAS

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    1. Richard N. Clarke, 1983. "Collusion and the Incentives for Information Sharing," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 383-394, Autumn.
    2. Gradstein, Mark & Nitzan, Shmuel & Slutsky, Steven, 1992. "The Effect of Uncertainty on Interactive Behaviour," Economic Journal, Royal Economic Society, vol. 102(412), pages 554-561, May.
    3. Cyert, Richard M & DeGroot, Morris H, 1973. "An Analysis of Cooperation and Learning in a Duopoly Context," American Economic Review, American Economic Association, vol. 63(1), pages 24-37, March.
    4. G.‐I. Bischi & M. Gallegati & A. Naimzada, 1999. "Symmetry‐breaking bifurcations and representativefirm in dynamic duopoly games," Annals of Operations Research, Springer, vol. 89(0), pages 252-271, January.
    5. Askar, S.S., 2013. "On complex dynamics of monopoly market," Economic Modelling, Elsevier, vol. 31(C), pages 586-589.
    6. Lode Li, 1985. "Cournot Oligopoly with Information Sharing," RAND Journal of Economics, The RAND Corporation, vol. 16(4), pages 521-536, Winter.
    7. Drew Fudenberg & David K. Levine, 1998. "The Theory of Learning in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061945, December.
    8. Alison J. Kirby, 1988. "Trade Associations as Information Exchange Mechanisms," RAND Journal of Economics, The RAND Corporation, vol. 19(1), pages 138-146, Spring.
    9. Cyert, Richard M. & DeGroot, Morris H., 1971. "Interfirm learning and the kinked demand curve," Journal of Economic Theory, Elsevier, vol. 3(3), pages 272-287, September.
    10. Feder, Gershon, 1977. "The impact of uncertainty in a class of objective functions," Journal of Economic Theory, Elsevier, vol. 16(2), pages 504-512, December.
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