2种奖金制度下的双寡头产量竞争模型的动力学分析

Dynamic Analysis on Dynamic Duopoly Model of Two Bonus Systems

在有限理性的假设下,考虑企业主雇佣职业经理人、实行市场份额委托和销售委托2种奖金激励策略,构建了一种使经理人利益最大化的生产同质产品的动态混合双寡头模型.利用数值模拟研究系统Nash均衡点的局部稳定性,结果表明,Nash均衡点存在典型的flip分岔以及逆flip分岔2种分岔方式,系统在特定参数平面上出现了符合法里树序列的分形结构以及多稳态现象,同时通过吸引盆讨论了系统的多稳态性,并得出结论:初始条件的选择会影响系统最终的状态.

Under the assumption of bounded rationality,a dynamic hybrid duopoly model of homogeneous product production is constructed by considering the employer to hire professional managers and implementing two bonus incentive strategies of market share delegation and sales delegation.The local stability of Nash equilibrium point of the system is studied by numerical simulations.The results show that there are two bifurcations,namely flip bifurcation and reverse flip bifurcation,and the system has a fractal structure of tree sequence in accordance with the method and multi-steady state phenomena in a specific parameter plane,at the same time,multi-stability of the system is discussed through the attractive basin,and it is concluded that the selection of initial conditions will affect the final state of the system.