一般垄断下厂商最优和社会最优的动态优化比较  

Dynamic Optimization Comparison Between Enterprise Optimum and Social Optimum under General Monopoly

作　　者：宋建朋 钟根元[1] 陈志洪[1] SONG Jianpeng;ZHONG Genyuan;CHEN Zhihong(Antai College of Economics&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5期80-85,共6页Shanghai Management Science

摘　　要：运用动态控制理论建立了一个具有产品创新和过程创新的一般垄断厂商优化决策模型。通过求解汉密尔顿函数,(ⅰ)得到了开环决策下的厂商最优和社会最优生产决策路径;(ⅱ)证明了模型存在具有稳定性的鞍点均衡;(ⅲ)证明了此模型条件下,产品创新和过程创新之间存在互补关系,企业对产品创新和过程创新追加的投入是成比例的;(ⅳ)比较了动态条件下厂商利润最大化和社会福利最大化的企业决策,发现社会福利最大化时产品供给量更多、价格更低,与静态模型的结论相同;(ⅴ)分析了利率、变量等因素的初始值对企业决策的影响。An optimization model of monopoly with product and process innovations was built by dynamic control methods.By solving the Hamilton function,(ⅰ)the optimal path of strategic variables of the enterprise was obtaind under open-loop conditions;(ⅱ)the existence of a saddle-point equilibrium was proved;(ⅲ)the complementary relation between product innovation and process innovation was proved under the conditions of this model,and the enterprise’s additional investments in product and process innovations are proportional;(ⅳ)in comparing of the enterprise decisions of profit maximization and social welfare maximization under dynamic conditions,it was shown to have a higher amount of supply and price in social welfare maximization,which coincides with the conclusions under static conditions;(ⅴ)the effects of the values of factors such as interest rate and initial values of variables on enterprise decision were discussed.

关 键 词：一般垄断 产品创新和过程创新 最优决策路径 厂商最优和社会最优 

分 类 号：F270[经济管理—企业管理]