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研究了调整函数中引入时滞的有限理性多寡头古诺竞争模型,分别建立了成本函数为线性形式的双寡头及通信市场中成本函数为线性形式的三寡头竞争模型。分析了双寡头模型中的纳什均衡点及通信市场三寡头模型市场行为。时滞的引入更加有效地延迟了市场混沌分岔等行为,当某些参数发生变化时,影响系统的稳定性,并数值仿真分析了系统稳定性。
This paper studies the bounded Cournot competitive model with limited rationality and introduces the time lag into the adjustment function. The duopoly oligopoly with cost function in linear form and the three oligopoly competition model with linear cost function in communication market are established respectively. The Nash equilibrium in the duopoly model and the market behavior of three oligarch models in the communication market are analyzed. The introduction of delay lags the behavior of chaos bifurcation in the market more effectively. When some parameters change, the stability of the system is affected, and the stability of the system is analyzed by numerical simulation.