森岛通夫“马尔科夫解法”并未解决马克思转形命题

Morishima's "Markov-Chain Solution" Does not Solve Marx's Proposition of Transformation

20世纪70年代,森岛通夫运用非负矩阵性质和马尔科夫过程构建动态模型,给出了马克思两个恒等关系在较宽松条件下成立的证明,在学术界引起较大反响。本文分析发现,森岛通夫转形问题的"马尔科夫解法",是将"加权"的两个基本相等关系作为马克思的两个基本相等关系来论证,而且其论证为循环论证。并发现,森岛通夫的马尔科夫迭代不存在均衡解。因此,森岛通夫的马尔科夫解法并没有真正解决转形问题。

In 1970s, Morishima constructed dynamic model by the use of the natures of non-negative matrix and Markov chain, and proved that the Marx＇s two identities can be established under less stringent conditions, making a greater sen- sation in academic circles. We find that the Morishima＇s ＂Markov-Chain Solution＂ to Transformation Problem is trying to prove two ＂weighted＂ identities as Marx＇s two basic identities, and that the proof is a Circle Reasoning, and that Morishima＇s Markov iteration does not exist equilibrium. Therefore, Morishima＇s Markov meth- od does not really solve the transformation problem.