摘要
本文详细论述了在一般均衡体系中均衡价格存在性定理与Brouwer不动点定理是等价的。即,均衡价格π＊就是Brouwer定理中的不动点x并给出证明.这一等价性为计算均衡价格提供了坚实的理论依据,从而肯定了利用Brouwer定理寻找不动点的方法计算均衡价格的计算方法是可靠的,因此具有特别重要的实用意义.
In this paper, we are concerned with the proof of the equivalent relation of Brouwer's Theorem and the theorem of the existence of equilibrium prices π*, for which ξ(π*) ≤ 0. And π* is a fixed point x implied by Brouwer's Theorem for which f(x) = x. By means of this theoretical equivalence, any effective numerical procedure for computing equilibrium prices practically must at the same time be an algorithm for computing fixed points of a continuous mapping.
出处
《应用数学与计算数学学报》
2001年第2期9-14,共6页
Communication on Applied Mathematics and Computation
