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在综合考虑技术溢出效应和吸收能力两方面因素情形下,研究两家寡头企业之间的研发投入量、产量随时间变化的瞬时协调和相互竞争的博弈过程,以期获得竞争企业的R&D最优竞争战略。通过将传统AJ模型拓展为动态微分博弈模型,该新模型所蕴涵的丰富动力学内涵有利于对寡头企业R&D竞合机理的探索。借鉴微分对策的思想,结合最优控制理论中Pontryagin极大值原理,分析给出了新微分博弈模型的均衡解的充分必要条件,同时通过对均衡解的数值仿真计算分析,得到了知识溢出水平和知识吸收能力对R&D竞争策略的影响。为竞争企业通过选择不同的R&D竞合战略来达到自身效益最大化或者成本最小化提供了可供选择的实现路径。
Considering the factors of technology spillover and absorptive capacity, we study the instantaneous coordination of R & D input, output change with time, and mutual competition between two oligopolistic firms in order to obtain the optimal R & D competition of competitive firms strategy. By expanding the traditional AJ model into a dynamic differential game model, the rich dynamic connotation implied by the new model is conducive to exploring the R & D competing mechanism of oligopolistic firms. By referring to the idea of differential strategy and combining the Pontryagin maximum principle in optimal control theory, the necessary and sufficient conditions for the equilibrium of the new differential game model are given. At the same time, by numerical simulation and analysis of the equilibrium solution, the knowledge spillover level And Knowledge Absorptive Capacity on R & D Competitive Strategy. It provides an alternative route for competitive enterprises to choose their own R & D strategy to maximize their own profit or minimize cost.