一般商品空间上的经济增长理论

This program is designed to study the economies in general commodity spaces. It is a new field of economic studies. As it deals with infinitely dimensional spaces, many techniques in tradional economics can not be used to study the equilibria. Problems in general commodity spaces become more complicated. In order to reveal the properties of such spaces, we use nonstandard methods. A model of such economies is established in a nonstandard framework. It is a perfect competition model with infinitely many commodities and infinitely many traders. The commodity space is described by a Riesz space. And the set of traders is a Loeb measure space. A general utility theory is established in our studies. And a competitive equilibrium theorem is proved. Further more, the finite equilbria is studied and used to prove the existence of competitive equilibria.

本项目从宏观出发，以微观为基础，对一般商品空间上的经济问题进行深入研究，建立一般商品空间经济增长理论，分析不确定条件下经济增长的内部和外部因素，并要用这套理论来分析我国经济运行与增长的实际。本项目研究将填补一般商品空间宏观经济理论这一空白，并为研究不确定条件下的经济增长问题提出了新思路和新方法，具有重要的理论与现实意义。