非线性动态投入产出模型与最大均衡增长率

The Nonlinear Dynamic Input-output Model and the Maximum Equilibrium Rate of Growth

本文提出一种非线性动态投入产出模型,然后利用非线性泛函分析中有限维空间上的拓扑度理论,证明了该模型均衡解的存在性,并给出了在国民经济各部门按比例均衡增长的情况下,国民经济最大均衡增长率的定量估计式。

In view of the use of degree theory on a finite-dimensional space,this paper proposes a nonlinear dynamic input-output model and proves the existence of its solution.After that,an estimate formula about the maximum equilibrium rate of national economic growth is provided as well.