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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.

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  • S. S. Askar, 2013. "The Impact of Cost Uncertainty on Cournot Duopoly Game with Concave Demand Function," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-5, November.
    • Handle: RePEc:hin:jnljam:809795
    DOI: 10.1155/2013/809795
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    Cited by:

    1. Sameh S Askar & Abdulrahman Al-Khedhairi, 2020. "Local and Global Dynamics of a Constraint Profit Maximization for Bischi–Naimzada Competition Duopoly Game," Mathematics, MDPI, vol. 8(9), pages 1-16, August.
    2. Sameh S. Askar, 2020. "A Dynamic Duopoly Model: When a Firm Shares the Market with Certain Profit," Mathematics, MDPI, vol. 8(10), pages 1-13, October.
    3. David Carfì & Alessia Donato, 2018. "Cournot-Bayesian General Equilibrium: A Radon Measure Approach," Mathematics, MDPI, vol. 7(1), pages 1-19, December.

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