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A Dynamic Model of Cournot Competition for an Oligopolistic Market

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  • Zeng Lian

    (International Business School, Beijing Foreign Studies University, Beijing 100089, China)

  • Jie Zheng

    (Department of Economics, School of Economics and Management, Tsinghua University, Beijing 100084, China)

Abstract

This paper studies firms’ dynamic interaction in a Cournot market. In each period of the game, the firm decides whether to make a stochastic positioning investment (establishing or maintaining its position in market competition). The market demand is also stochastic (high or low). By adopting symmetric Market perfect Nash equilibrium, firms choose strategies to maximize the discounted present value of cash flow. By considering the cases with one, two, and three active firms in the market, respectively, we present the stage game market outcome, show the transition probabilities, find the steady state of the system, and discuss the speed of convergence. Our work allows for two types of uncertainty in firms’ interactions, which contribute to the dynamic oligopoly literature.

Suggested Citation

  • Zeng Lian & Jie Zheng, 2021. "A Dynamic Model of Cournot Competition for an Oligopolistic Market," Mathematics, MDPI, vol. 9(5), pages 1-18, February.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:5:p:489-:d:507009
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    References listed on IDEAS

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    Cited by:

    1. Ahmed, Rizwan & Qureshi, M. Zubair Akbar & Abbas, Muhammad & Mumtaz, Nida, 2025. "Bifurcation and chaos control in a heterogeneous Cournot-Bertrand duopoly game model," Chaos, Solitons & Fractals, Elsevier, vol. 190(C).
    2. Ding, Shasha & Sun, Hao & Sun, Panfei & Han, Weibin, 2022. "Dynamic outcome of coopetition duopoly with implicit collusion," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).

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