存在人口增长极限下的改进Ramsey模型  

Improved Ramsey Model with Limited Population Growth

作　　者：陈春春[1] 胡日东[1] 胡安其[2] 

机构地区：[1]华侨大学经济与金融学院,福建泉州362021 [2]暨南大学经济学院,广东广州510632

出　　处：《数学的实践与认识》2011年第22期66-75,共10页Mathematics in Practice and Theory

基　　金：福建省数量经济学研究生教育创新基地:国家软科学计划项目(2008GXS5D130);教育部科学技术研究重点项目(209148);教育部人文社科规划基金(11YJA790048)

摘　　要：在存在人口增长极限的假设下,对标准的Ramsey模型进行了修正,结果表明:首先,与常数人口增长率的Ramsey模型不同,模型的人均消费和人均资本并不一定随时间的推移而递增;其次,人均消费和人均资本不存在平衡增长路径均衡,但是存在渐进平衡增长路径均衡;再次,在外生参数满足一定条件的前提下,人均消费和人均资本渐近于均衡的过程是单调的.In this article, the standard Ramsey model was corrected under the assumption that the size of the population was limited. The results show that： first of all, different from the Ramsey model with constant population growth rate, per capita consumption and per capita capital of our model are not necessarily always growing. Second, there is not balanced growth path equilibrium, but there is a asymptotic balanced growth path equilibrium; again, when exogenous parameters satisfy certain conditions, the per capita consumption and per capita capital of this model exhibits transitional dynamics with convergence that may be monotonic.

关 键 词：经济增长 人口限制 RAMSEY模型 生产函数 

分 类 号：O242.1[理学—计算数学] F014.5[理学—数学]