两大部类扩大再生产的按比例发展定理

The Theorem of Development in Proportion of the Two-Sector Expanded Reproduction

按比例发展原理是马克思社会再生产理论中的一条重要原理.由于在经典的马克思社会再生产理论的相关公式中,生产资料、消费资料部类内部各部分之间的相互比例是固定不变的,所以这条原理当中所讲的比例,就简化为仅指两大部类之间的比例.从而,按比例发展原理成为一个十分确切的命题.已经有研究证明了从某一年起两大部类平衡增长的充要条件和静态意义下的两大部类扩大再生产的充要条件,本文区分第Ⅰ部类资本利润率不高于第Ⅱ部类和高于第Ⅱ部类两种情形,分别给出了社会扩大再生产持续进行的充分必要条件,从而使按比例发展原理深化成为"两大部类扩大再生产的按比例发展定理".这个定理为调控和优化社会再生产的决策变量标明了取值区间.

This paper gave the sufficient and necessary condition for the continuous process of expanded reproduction, under the condition that capital return rate of the first sector does not exceed that of the second sector and under the condition that capital return rate of the first sector exceeds that of the second sector, respectively. Thus, the principle of development in proportion is deepened to become ＂the theorem of development in proportion of the two-sector expanded reproduction＂. This theorem indicates the taken value intervals of decision variables for adiusting and controlling and optimizing social reproduction.