社会再生产过程的动态分析(一)

Dynamic Analysis of Social Reproduction

本文根据马克思经济原理对社会再生产过程进行了动态分析,用控制理论的观点和方法,构造了再生产系统的动态数学模型和动态结构图,推导出社会总产品在两大部类生产之间完全补偿的情况下第Ⅱ部类积累率应该满足的条件,求解出模型的动态行为,并得出不变资本与可变资本增长的指数律,最后对再生产系统进行了稳定性分析。文中数字例题的计算不但说明了本文方法的优越性,也证明了它的正确性。

A dynamic analysis of social reproduction is made on the basis of Marx′s economic principles.The viewpoints and method of control theory are used to establish mathematical models and dynamic block diagrams,deduce the requirments to meet the accumulation ratio of the second kind of production when the compensation for overall social products between two kinds of production is made. The paper has solved the dynamic behaviour for the model and has obtained an exponential law of increase of invariable and variable capital.In the end, the paper makes a stability analysis of reprodution system. The examples show that the method of the paper is favourable and correct.