论文部分内容阅读
本文从线型经济学的视角对马克思的价值理论与联合生产问题进行了一个数理概括。我们首先明确了联合生产体系下的有效生产过程的概念以及价值的正值性条件;其次分析了冯·诺依曼模型的利润与增长的关系,并按照豪(Howe)的方法证明了冯·诺依曼均衡的存在性;最后在马克思一冯·诺依曼一森岛的框架下简析了最优价值以及广义马克思基本定理。
This article makes a mathematical summary of Marx’s value theory and co-production from the perspective of linear economics. We first clarify the concept of an efficient production process and the positive conditions of value under a co-production system. Secondly, we analyze the relationship between profit and growth of the von Neumann model and prove that von Neumann equilibrium. Finally, under the framework of Marx-von Neumann-Isen, the optimal value and generalized Marx’s basic theorem are analyzed.