不同理性双寡头R&D竞争分析及混沌控制

利用动力系统的分支理论研究具有不同理性层次的双寡头R&D竞争模型.讨论了该模型均衡点的存在性与稳定性,并进行了数值仿真.仿真结果表明:考虑到企业的个人理性要求,现实中的模型稳定点数量町能比理论上的少,而Nash均衡点是模型的唯一稳定点:R&D投入调整速度的变化对模型的稳定性有较明显的影响;运用延迟反馈控制法可使陷入混沌状态的模型晕新稳定在Nash均衡.

Competition analysis and chaos control of R&D in duopoly with heterogeneous rationality

By using the theory of bifurcations of dynamical systems,
the model of R&D competition in duopoly with heterogeneous rationality is
investigated, and the existence and stability of the equilibrium point of
this model are discussed. Simulation results show that the amount of
equilibrium point in practice may be less than in theory, the Nash
equilibrium point is the only equilibrium point of the model, and the speed
of R&D input adjustment has an obvious impact on the results of R&D
competition. Nash equilibrium of R&D competition model can be to
maintainable by using delayed feedback control method when the model in
chaos state.