动态经济分析中自治方程的均衡解与收敛性

Equilibrium Value and Convergence of Autonomous Equation in Dynamic Economic Analysis

以动态分析的方法将西方经济学中一些重要经济系统抽象为自治方程,借鉴自治微分方程的收敛性,研究了自治差分方程的解随时间收敛于均衡解的充要条件、方程系数与收敛性的关系等,借以分析动态经济系统的稳定性.然后通过一个蛛网模型的算例,展现了高阶自治差分方程在农产品市场上价格预测方面的应用价值.

This paper gave a detail study on the condition in which autonomous difference equation solution was converged to equilibrium value in accordance with time and the relation between equa- tion coefficients and convergence, so as to analyze the stable situation of dynamic economic models. It used an example of cobweb model, also demonstrated that autonomous difference equation could be applied to predict the produce prices.