随机扰动下的增长模型(英文)

Growth Model with Stochastic Disturbance

以确定性的Solow增长模型为背景,文章将随机扰动引入其中.因此模型中的要素方程从ODE过渡到It SDE,并对其作某些定性的分析.进而运用二次Liapunov函数等方法对随机Solow模型的零解的稳定性及其平稳分布进行了有益的探索,得出了一些有意义的结果.文章的主要结论是:随机干扰将实质性地改变由确定性增长模型所描述的经济增长路径.

Stochastic disturbance is introduced into deterministic growth model of Solow. The accumulation equations of production factors accordingly extend to Ito^ SDE from ODE,on which qualitative analysis is made. Moreover, the method of the quadratic Liapunov function and the others are used to analyze the stability of zero solution of the stochastic Solow＇s model and to calculate the stationary distribution of the model. Helpful results are obtained. The central conclusion of this article is that stochastic disturbance may substantially change the economic growth path described by deterministic growth model.