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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.
Under the assumption of the limit of population growth, the standard Ramsey model is modified. The results show that: First, unlike the Ramsey model of constant population growth rate, the per capita consumption and per capita capital of the model do not necessarily increase with the passage of time; Second, there is no equilibrium growth path between per capita consumption and per capita capital, but there is a balanced path of gradual equilibrium growth. Thirdly, under the premise of exogenous parameters satisfying certain conditions, the process of per capita consumption and per capita capital asymptotically balanced is monotonous.