论文部分内容阅读
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可能比理论上的少,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重新稳定在Nash均衡.
This paper studies the duopoly R & D competition model with different levels of rationality based on the branch theory of dynamical systems. The existence and stability of the equilibrium point of the model are discussed and the numerical simulation is carried out. The simulation results show that, taking into account the individual rational requirements of enterprises, The number of model stability points in the model may be less than the theoretical ones, while the Nash equilibrium point is the only stable point of the model. The change of the R & D investment adjustment speed has a more obvious effect on the stability of the model. The delay feedback control method can make it into chaos The state of the model regains stability in Nash equilibrium.