考虑到政府对企业技术创新的激励政策、研发过程中的技术溢出以及产品差异化,建立了两个生产有差异化产品竞争企业的技术创新投入模型.首先不考虑时间因素得出了古诺竞争情形下的生产数量、利润以及研发投入的均衡解,社会福利最大化条件下的最优研发补贴以及最优研发补贴存在的条件;并对研发补贴、技术溢出、产品差异化与研发投入之间的关系进行了分析.研究表明企业间产品差异较小且研发补贴不多时,研发投入与技术溢出成负相关关系;企业间产品差异较大且研发补贴较多时,技术溢出与研发投入成正相关关系.然后考虑到企业间研发成功的时间不同,把利息引入模型分析了产品差异化、技术溢出、研发补贴对研发成功时间的影响,并得出了社会福利最大化的最优条件.%Considering the government's incentive policies to technological innovation, the technological spillovers of R&D process and product differentiation, this paper constructs a investment model of technological innovation for two competing firms producing differentiated products. First, we obtain equilibrium solution of the number of production, profits and R&D investment under Cournot competition without considering time. The optimal R&D subsidies under the maximization of social welfare and the conditions for the existence of optimal R&D subsidies are derived, and the relationships among R&D subsidies, technological spillovers, product differentiation and R&D investment are analyzed. The result shows that when the product differentiation is small and R&D subsidies are lower, there are negative correlation between the R&D investment and technology spillovers. When the product differentiation is larger and R&D subsidies are higher, there are positive correlations between the R&D investment and technology spillovers. Furthermore, taking account of the successful time of R&D firms are different, the paper also analyzes the impact of product differentiation, technological spillovers and R&D subsidies on R&D successful time considering the interest in the model, and derives the optimal conditions in the case of the maximization of social welfare.
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