一种用迭代方法计算的人为价格

An Artificial Price System Calculated by Step by Step Method

一 迭代数学模型 传统的投入产出价格体系需要用对应的变换矩阵的极大特征值来求解。长期以来,人们对这个特征值的倒数就是相应价格体系的平均利润率,其经济学机理有些困惑;而且高阶矩阵的求逆和求特征根的计算较为复杂,给大规模价格体系的测算带来困难。本文依据马克思主义价格理论,利用投入产出、劳动消耗和资本占用系数,运用数值逼近思想,提出一种用迭代方法计算的价格体系。模型把利润率直接表述为社会总剩余对各种分配因素的比率。

This paper puts a theoretical price model that is not alike with traditional input output price. This Model has introduced price of social total product and output of departemtn that reflects the distribution in second kind time of social necessary labur; The profit rate have been expressed by the rate between the social total surplus and all kinds of factors for the profit distribution! They are directly connected between the wages and price index of consumption goods: So to mark it definition clear that the economic relations of between the social product price and its value, between the total profit and the total surplus: In which profit averaging have been to gotten by the step by step method, this process containes plentiful economic mechanism. Compared with model of traditional input output price on the calculation method, the Model can find its solution of the profit rate, that does not needs biggest feature value of variation matrir, in which caluclation else to gotten than traditional method.