异质决策下具有延迟结构和随机成本的Cournot博弈动力学分析

doi:10.16088/j.issn.1001-6600.2024090304

Abstract

Abstract: A dynamic Cournot game model with random cost is constructed. Based on the heterogeneous decision-making mechanisms of delay and gradient adjustment, the corresponding nonlinear dynamic system is established. Furfthermore, the equilibrium points of the system are solved and the dynamical stability of the Nash equilibrium point is analyzed.Through numerical simulation, the effects of the delay parameter, the product difference parameter and the random variable on system stability are studied. The conclusions are as follows. Firstly, the effect of the delay parameter on the stability of the system is non-monotonic. With the increase of the delay parameter, the stable region of the system is widened, but when the delay parameter increases to a certain extent, the stability of the system gradually weakens. Secondly, the larger the random variable is, the stronger the stability of the system is. Finally, the sensitivity of two players to the initial value disturbance is different, and the one with delayed rational behavior has stronger ability to resist the initial value disturbance.

Key words: Cournot game, time delay, random cost, nonlinear dynamical systems, heterogeneous decision-making

CLC Number: O225

XU Di, YANG Guanghui. Dynamic Analysis of Cournot Game with Delay Structure and Random Cost under Heterogeneous Decision-making[J].Journal of Guangxi Normal University(Natural Science Edition), 2025, 43(6): 140-151.

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Dynamic Analysis of Cournot Game with Delay Structure and Random Cost under Heterogeneous Decision-making

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