基于广义价值论的一般均衡的存在性、唯一性和稳定性

The Existence,Uniqueness and Stability of General Equilibrium Based on General Theory of Value

本文运用生产-消费者两阶段决策方法,构建了一个基于广义价值论的多部门一般均衡模型。通过严谨的数学分析和数值实例,本文证明了按照比较利益率相等原则形成的多部门经济系统中,存在唯一的一组均衡的价值向量、商品配置和劳动力配置,它们的动态调整过程满足稳定性要求,也就是说,这一均衡满足存在性、唯一性和稳定性。本文的研究为广义价值论的基本命题——比较利益率均等提供了严格的数学支撑。

This paper constructs a multi-sector general equilibrium model based on General Theory of Value,by means of the approach of producer-consumer’s two-stage decisions.With using rigorous mathematical analysis and numerical examples,the paper proves that in a multi-sector economic system formed according to the principle of equality of comparative interest rates,there exists a unique set of equilibrium value vector,commodity allocation and labor allocation,whose dynamic adjustment process satisfies the stability requirement,that is to say,the equilibrium satisfies the existence,uniqueness and stability.The research of this paper provides strict mathematical support for the equality of comparative interest rate,which is one of the most fundamental propositions in General Theory of Value.