马克思经济增长模型中的特征值及其理论蕴涵

为了借鉴现代经济增长模型的数量方法对马克思经济增长理论的研究,本文基于马克思两部类经济增长模型的特殊结构,将特征值方法探索运用于对其的研究。通过解析两个部类积累相互约束的关系,以及每个部类新创造价值增长与本部类积累和两个部类结构参数之间的关系,获得两个部类新创造价值的唯一特征值,也就是唯一的均衡发展速度。给出与特征值对应的全社会和每个部类积累率算式,指出产生特征值的模型结构条件,以及特征值的最大值。从经济均衡和非均衡增长的视角,通过与哈罗德经济增长模型的对比分析,阐述了马克思两部类经济增长模型中的特征值的理论蕴涵。最后引用和借鉴《资本论》中的举例,对所论析做了算例验证。

The Eigenvalue in Economic Growth Model of Marx and Its Theoretic Contents

In order to combine the research on the theory of Marx's economic growth with the quantitative methods of modern economic growth model,this paper explores the eigenvalue method in this field based on the special structure of Marx's two departments' economic growth model.By analyzing the mutually restrictive relation between accumulation of the two departments and the parametric relation between the growth of the new creative value of each department and its accumulation,we obtain the only eigenvalue of the ...