马克思劳动价值论的数学原理

The Mathematical Principles of Marx’Labor Theory of Value

根据马克思的劳动价值理论,明确提出了价值函数的基本假定和基本公式;在此基础上,通过引入短期和长期生产函数,推导出相应的短期和长期价值函数;并借助短期和长期价值函数,具体分析了商品价值量在短期和长期中的变化规律,特别是详细讨论了劳动变化、资本变化、劳动和资本同时变化、劳动和资本同时和同比例变化以及生产函数变化对价值量的影响。

Based on Marx＇ Labor Theory of Value, the author puts foreward the basic assmnptions and functions and by intnxtucing long-and short-nan production fanetions, derives the long-and short-nan value fanetion. With the two functions, the author analyzes the changes of value in the long-and short-nan. Porficularly, the effects on value are discussed When labor changes, when capital changes, when both labor and captial chang, when both capital and labor change proporfionaly, and when production function changes.