保险市场中三寡头垄断的动态博弈模型研究

摘要

We consider the dynamical model of a triopoly price game in insurance market.In this model,one makes adaptive decision,the other two make decision with bounded rationality,then the differential equation model of triopoly price game is obtained.The system has only one Nash equilibrium.The stability and the existence of Hopf bifurcation of the system are studied.Numerical simulation results have further confirmed the accuracy of the theory and shown the dynamical behavior of the system.The insurance companies make decision in the price game with delay,they must choose appropriate value of the delayed parameter and decrease the speed of price adjustment.The system will become stable as soon as possible.%考虑三寡头垄断的保险市场动态价格博弈模型.在模型中,一个寡头采取自适应决策,其余两个寡头采取有限理性决策,由此建立三寡头价格博弈微分方程模型.系统有唯一的Nash均衡点.并对该系统的稳定性和Hopf分岔的存在性进行研究.数值模拟结果证实了理论的准确性,并且展示了系统的动态行为.保险公司在考虑延迟的价格博弈的过程中,必须控制好延迟参数的值,并适当地降低自身价格调整速度,以使系统尽快稳定到平衡状态.