《资本论》的数理基础

The Mathematical Basis of Capital

政治经济学和"数理基础"之间的联系有历史渊源。从大量使用数理统计的方法到利用概率来研究随机现象,我们又看到了复变函数在统计关联中的桥梁作用。劳动价值的含义是劳动决定价值,与此相关,马克思把价值设定为用时间单位计量。"商品价值究竟是什么"需要弄清楚。藤森赖明在《马克思经济学的数理分析》一书中对价值转形没有给出解决方案,也没有讲清楚剩余价值怎么转化为利润。中国学界在"马克思经济学数学模型研究"上很少有实质性进展,"二元价值转形"是典型的"答非所问"。置盐信雄迭代转形的思路,马尔可夫链估算总量,都可以借鉴并改进、变换。宏观总量平衡≠微观个量加总。对宏观问题寻找其微观基础,用货币单位计量是一个关键因素。

The connection between political economics and ＂ mathematical basis＂ has historical origin. From the extensive use of mathematical statistics to the use of probability to study random phenomena, we have again seen the bridge role of complex variable functions in statistical correlation. The meaning of labor value is that labor determines value. Related to this, Marx set the value to be measured in units of time. ＂What exactly is the value of a commodity＂ needs to be clarified. In ＂Mathematical Analysis of Marxist Economics＂ , Mr. Fujimori did not give a solution to value transformation, nor did he explain how surplus value can be transformed into profit. There has been little substantial progress in ＂the study of the mathematical model of Marx＇ s economics＂ in Chinese academic circles, and ＂ dual value transformation＂ is a typical ＂ irrelevant answer to the question＂. Nobuo Okishio＇ s idea of iterative transformation and Markov＇ s chain total estimation can both be used for improvement and transformation. Macro total balance is not equal to the sum of micro individuals. In the looking for the micro-foundation for macro- problem, the measure of monetary unit is a key factor.