一类动态投入产出价格模型

A dynamic input-output price model

首先运用矩阵分析的方法,对各部门利润率确定但不都相同时,证明一个或几个部门提高利润率时,模型均衡价格向量不存在;然后运用马氏过程研究利润率为随机情形,证明经济崩溃时间为无穷大的概率等于零,即模型均衡价格向量不存在。

With matrix analysis method,we work out that the equilibrium price vector may not exist if every department increase the profit rates when the rates are different.The Markov is used as stochastic process to prove that the probability of the infinite collapse time is zero,that is,the equilibrium price vector for this model does not exist.