政府投资治理污染的随机增长模型(英文)  

Two Stochastic Growth Models with Anti-pollution Investment by Government

作　　者：张学清[1] 

机构地区：[1]湖南大学数学与计量经济学院,湖南长沙410082

出　　处：《应用数学》2008年第4期686-694,共9页Mathematica Applicata

基　　金：the National Natural Foundation of China(70773038)

摘　　要：本文设定了两种不同的带有污染的生产函数.在此两种生产函数情形下,利用随机最优化的方法分别分析了由政府投资治理污染的随机增长模型,得到了以下结论:在宏观均衡条件下,增大污染的外部性指标促进经济增长却降低福利;提高政府的环保投资增加福利,但对增长的影响却与污染的外部性指标和污染的负福利效用权数的大小有关.In this paper,we define two different kinds of productive function with pollution. In the conditions of two different productive functions, we use stochastic optimization method to analyze two stochastic growth models with anti-pollution investment by government separately and have the following conclusions：increasing the externality index of pollution is in favor of economic growth but not in favor of welfare; Increasing the government investment in environmental protection is in favor of welfare,whereas the effects on growth are related to the externality index of pollution and the weight of the impact of pollution on the utility.

关 键 词：污染治理 随机最优化 随机增长 

分 类 号：O211.63[理学—概率论与数理统计]