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The impact of cost uncertainty on Cournot oligopoly games

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  • Askar, S.S.
  • Elettreby, M.F.

Abstract

In this paper, Cournot oligopoly model is examined with an uncertain quadratic cost function. A random quadratic cost function is introduced in this model. The model consists of three competed firms on which 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 multi-objective optimization problem, the expectation and worst-case approaches are adopted used to study uncertainty. The existence and uniqueness of the equilibrium are obtained. The asymptotic behavior of the equilibrium point is also investigated. Complete stability and bifurcation analysis are provided. The obtained theoretical results are verified by numerical simulation.

Suggested Citation

  • Askar, S.S. & Elettreby, M.F., 2017. "The impact of cost uncertainty on Cournot oligopoly games," Applied Mathematics and Computation, Elsevier, vol. 312(C), pages 169-176.
    • Handle: RePEc:eee:apmaco:v:312:y:2017:i:c:p:169-176
    DOI: 10.1016/j.amc.2017.05.062
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    References listed on IDEAS

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    Cited by:

    1. S. S. Askar & Mona F. EL-Wakeel & M. A. Alrodaini, 2018. "Exploration of Complex Dynamics for Cournot Oligopoly Game with Differentiated Products," Complexity, Hindawi, vol. 2018, pages 1-13, February.
    2. Sameh Askar, 2021. "Complex Investigations of a Piecewise-Smooth Remanufacturing Bertrand Duopoly Game," Mathematics, MDPI, vol. 9(20), pages 1-13, October.
    3. S. S. Askar & A. Al-khedhairi, 2019. "Analysis of a Four-Firm Competition Based on a Generalized Bounded Rationality and Different Mechanisms," Complexity, Hindawi, vol. 2019, pages 1-12, May.
    4. Askar, S.S. & Al-khedhairi, A., 2020. "On complex dynamic investigations of a piecewise smooth nonlinear duopoly game," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    5. Zhu, Haoruo & Ni, Yaodong & Yang, Meng & Song, Qinyu, 2023. "Blessing or curse? Impact of incomplete information in a networked cournot competition," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 179(C).

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