【摘要】 通过将公共投资指数与社会生产总量联系起来,引入含消费与公共支出效用指数的双变量效用函数,提出社会效用最大化问题.求解优化问题得到描述模型的二维动力系统,首先证明了系统存在唯一的均衡点,并利用相图分析了模型存在唯一的最优路径.更多还原

【Abstract】 By integrating both investment index of public capital and production amounts of society and introducing a utility function with both consumption and utility index of public expenditure,the optimization problem with infinite level was presented.A two-dimension dynamic system was obtained by solving the optimization problem.First,it is proved that system has unique non-zero positive equilibrium.Second,we analyze the unique optimal growth path of model by phase.更多还原