劳动者有储蓄的社会扩大再生产与求解

On the Social Expanded Reproduction with Labors' Savings and Solution to It

经典的马克思社会再生产公式里劳动者没有储蓄,与现实经济中存在着数量巨大的劳动者储蓄形成很大差异。为了贴近现实的社会再生产,文章将经典的马克思再生产公式加以拓展,建立了一个劳动者有储蓄的再生产公式。经典的再生产公式可以看作劳动者有储蓄的再生产公式当储蓄率为零的特殊情形。阐述了如何通过劳动者储蓄向新增资本转化机制,实现生产资料、消费资料的供需均衡。通过解析,找到了劳动者有储蓄的社会再生产的一个调节参数,进而给出一种一般求解方法。借鉴马克思《资本论》中的一个举例,计算验证了劳动者有储蓄的社会扩大再生产的解。

A labor has not savings on classical Marx＇s social reproduction scheme. It is a great difference to real economy because there is a huge quantity of labors＇ savings. This paper expands classical Marx＇ s reproduction scheme and establishes a reproduction scheme with labors＇ savings, so that classical Marx＇s reproduction scheme can be included in this scheme as a special situation that labors＇ savings rate is just zero. The paper states how supply and demand of both capital goods and consumption goods realizes balance by means of a mechanism that labors＇ savings transforms to added capital. Through analyzing, an adjusting parametric of the social reproduction with labors＇ savings is found and a general solution method is provided. Moreover, an example from Marx＇ s ＂Das Kapital＂ is drawn upon to verify the solution to the social reproduction with labors＇ savings, in a calculative way.