垄断企业产能投资、产品创新和过程创新的动态最优控制  

Dynamic Optimal of Monopoly Investment in Capacity, Product and Process Innovation

作　　者：戴晨阳 DAI Chenyang(Antai College of Economics and Management, Shanghai Jiao Tong University,Shanghai 200030,China)

机构地区：[1]上海交通大学安泰经济与管理学院,上海200030

出　　处：《上海管理科学》2022年第4期85-90,共6页Shanghai Management Science

摘　　要：基于垄断厂商对于自身产能、产品创新和过程创新的最优投资水平的动态最优化模型,通过研究表明:(1)垄断厂商对于产能的投资增长率与产品创新和过程创新的投入成反比。(2)产品创新的投资增长率与过程创新的投资量呈正相关关系。同样,过程创新的投资增长率与产品创新的投资量也呈现正相关关系。(3)垄断厂商产品创新投资与过程创新投资之间呈正相关关系。(4)垄断厂商产能投资与产品创新投资成正比、与过程创新投资成反比。(5)垄断厂商在一般垄断下,对于自身产能、产品创新和过程创新做最优决策下,存在稳定的鞍点均衡。In this paper, the innovation is using a dynamic method to address the optimal control problem of investment in capacity, product innovation and process innovation. The monopoly may adopt the proportion of investment among capacity, product innovation and process innovation to maximize profit. In previous articles, the trade-offs between product innovation and process innovation have been studied, and the investment in capacity of companies is also studied in detail. However, there is no research drawing how monopoly adopt investment in capacity, product innovation and process innovation together. In previous articles of innovation research, the enterprise capacity was assumed to fully meet the market demand, and the cost brought by increasing in capacity was ignored. However, in the research of capacity investment, the increase of expected income brought by product innovation and process innovation is not discussed. But the premise of production is that enterprises must have corresponding production capacity in advance, and product innovation and process innovation can increase the profit of project invested. So it is significative to address investment in capacity, product innovation and process innovation together. 1) the growth rate of investment in capacity is negative correlation with product innovation and process innovation;2) the growth rate of product innovation is positively correlated with process innovation. Similarly, the rate of investment in process innovation is positively correlated with product innovation;3)product innovation is complement with process innovation;4) capacity investment is positive correlated with product innovation and inversely negative correlated with process innovation investment;5) there exists stable saddle-point equilibrium for monopolist under optimal decision-making of their own capacity, product innovation and process innovation. Under the hypothesis, product innovation and process innovation are complementary, and investment of capacity is positively correlated to pro

关 键 词：一般垄断 投资 产品创新 过程创新 

分 类 号：F273[经济管理—企业管理]