基于延迟决策双寡头Stackelberg博弈模型的混沌动力学研究

Study on chaotic dynamics of a duopoly Stackelberg game with delayed strategies

基于寡头垄断市场,建立了双寡头Stackelberg动态产量博弈模型。两家企业分别采用延迟决策的有限理性预期和自适应性预期,应用非线性动力学分析模型动态演化过程,运用稳定性理论分析Nash均衡解的稳定性,并通过数值模拟,从分岔、混沌和混沌控制等动力学行为研究了引入延迟策略的产量博弈模型。结果表明,适当的延迟系数能扩大系统稳定域。

In this paper,a duopoly Stackelberg game of output competition is built.The two players adopt different strategies,i.e.with the bounded rationality and with the adaptable expectation,respectively.For the duopoly Stackelberg model,a nonlinear dynamical system is used to analyze the time evolution and Nash equilibrium point are used to study its stability.Numerical simulations show a series of chaotic behaviors.The results demonstrate that a proper delay coefficient enlarges the stable region.