Replication Data for: SOLUTION OF THE PROBLEM OF TRANSFORMATION OF THE VALUES OF COMMODITIES INTO THE PRICES OF PRODUCTION (CALCULATIONS)

Abstract In this paper, the author presents fundamentally new methods for transforming the value of commodities into original and equilibrium prices of production using Marx's five-sphere tables from the third volume of Capital. Mathematical verification of models is performed by method sequential iterations and using the Wolfram Mathematica program. It also presents the method of inverse transformation of prices of production of commodities into values. Proved that pricing systems based on the principles of value and price of production are not mutually exclusive, they complement each other, representing a single whole. A comprehensive solution to the transformation problem shows that Marx does not have the mistakes attributed to him by critics. JEL classification: B14, B16, B24, E11, E20, E21, E22, P16, P17 Keywords: Karl Marx, transformation problem, mechanisms, original transformation, individual sphere of production, equilibrium price of production, real wages, direct and inverse transformation, iteration methods, mathematical verification.

摘要 本文基于马克思《资本论》第三卷中的五球体表格（five-sphere tables），提出了将商品价值转化为原创性生产价格与均衡生产价格的全新基础性方法。本文通过序列迭代法及Wolfram Mathematica软件对所构建的模型开展数学验证。此外，本文还提出了将商品生产价格逆向转化为商品价值的方法。本文证实，基于价值原则与生产价格原则的定价体系并非互斥对立，二者互为补充，共同构成统一整体。针对转形问题（transformation problem）的综合解决方案表明，马克思并未如其批评者所指责的那般存在理论谬误。
JEL分类号：B14、B16、B24、E11、E20、E21、E22、P16、P17
关键词：卡尔·马克思（Karl Marx）、转形问题（transformation problem）、运行机制、原始转形、单个生产部门（individual sphere of production）、均衡生产价格（equilibrium price of production）、实际工资（real wages）、正向与逆向转形（direct and inverse transformation）、迭代法（iteration methods）、数学验证（mathematical verification）