天津工业大学学报Issue(3)：73-77,84,6.DOI:10.3969/j.issn.1671-024x.2015.03.016
同质企业研发竞争行为的动力学性态分析
Dynamics analysis of state of homogenous corporate R & D competition
摘要
Abstract
We apply the theory of bifurcation and chaos of nonlinear dynamical systems and related theory of economics, and then establish a R&D competition dynamic model under the limited rational expectations of three homogeneous oligarchs and analyze this system′s equilibriums and their stability. We also take adjusting speed of R&D input and technical spillovers level as the control parameter and analyze the condition of the system bifurcation and chaos, then we get the changing behavior of profit as competition among oligarchs; Under the condition of different parameters we simulate the system by Mathematics and illustrate the result. We find that when the adjusting speed of R&D input of the enterprise is too large, then the system becomes from stable state into period-doubling bifurcation and chaotic state. As the technical spillovers level of the enterprise increases, its profit falls and the opponent′s profit rises. In addition, the results of simulation show that enterprise′s profits changes steadyly under the stable state and changes valatily, under the chaotic state. When the adjusting speed of input of the enterprise is too large, its average profit falls and the opponents′rises.关键词
同质企业/竞争行为/动力学性态分析/研究与开发/有限理性/分岔/均衡点/Lyapunov指数/技术溢出Key words
homogenous corporate/competition/dynamics analysis/research and development(R&D)/bounded ratio-nality/bifurcation/equilibriums/Lyapunov index/technical spillovers分类
管理科学引用本文复制引用
黄东卫,付玉霞,于沈新..同质企业研发竞争行为的动力学性态分析[J].天津工业大学学报,2015,(3):73-77,84,6.基金项目
国家自然科学基金资助项目 （）
