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两大部类扩大再生产的充分必要条件与求解

陶为群

经济数学Issue(3):59-65,7.
经济数学Issue(3):59-65,7.

两大部类扩大再生产的充分必要条件与求解

On the Sufficient and Necessary Condition for the Two-Sector Expanded Reproduction and Its Solution

陶为群1

作者信息

  • 1. 中国人民银行南京分行,南京 210004
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摘要

Abstract

The sufficient and necessary condition for the two-sector expanded reproduction is also the condition for the existence of solution of Marx’s expanded reproduction scheme.By now the condition has not been defined strictly because a general method of solution to Marx’s expanded reproduction scheme has not been presented scrupulously.This paper set a gen-eral method of solution to the problem of the two-sector expanded reproduction with a necessary condition which has been ob-tained in some research.Therefore,this necessary condition was proved to be the sufficient and necessary condition for the re-production.Then,by use of a method of variable substitution,the paper gave another method of solution to the expanded re-production by taking direct solutions to the rates of surplus valuable accumulation of two sectors.Finally,two examples from Marx’s “Das kapital”were drawn upon to verify two methods of solution to the problem of the expanded reproduction in a cal-culative way.

关键词

扩大再生产/求解/充分必要条件/参数/线性方程组

Key words

expanded reproduction/solution/sufficient and necessary condition/parameter/linear system of equation

分类

管理科学

引用本文复制引用

陶为群..两大部类扩大再生产的充分必要条件与求解[J].经济数学,2014,(3):59-65,7.

经济数学

1007-1660

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