两大部类再生产最优平衡增长的形成路径
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引用本文:陶为群.两大部类再生产最优平衡增长的形成路径[J].经济数学,2017,(1):51-58
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作者单位
陶为群 (中国人民银行南京分行江苏 南京 210004) 
中文摘要:两大部类再生产最优平衡增长的形成路径,是社会再生产从非平衡的一般增长状态转换到最优平衡增长状态的特殊增长轨迹.基于马克思社会再生产公式,利用当年生产生产资料的部类积累率决定下一年两大部类比例的单调函数关系,推导并证明了生产生产资料的部类优先积累能够导致两大部类比例收敛,从而两大部类再生产形成最优平衡增长.由此阐明了生产生产资料的部类优先积累是两大部类再生产最优平衡增长的形成路径.借助《资本论》中的一个举例,计算验证了这样的形成路径.
中文关键词:政治经济学  最优平衡增长  路径  连续函数  数列
 
A Formation Path of Optimum Balanced Growth of the Social Two-Category Reproduction
Abstract:A formation path of optimum balanced growth of the social two-category reproduction is a special track of growth along which the reproduction converts from a common unbalanced state of growth to the state of optimum balanced growth. Based on Marx’s social reproduction scheme, a monotone function relationship was used that the capital accumulation rate of the category which produces capital goods in this year can resolve the proportion between two categories in next year. So it was deduced and proved that the proportion between the two categories converges if only the category producing capital goods accumulates in prior. Thus the two-category reproduction takes shape of optimum balanced growth. Therefore this paper clarified that the category producing capital goods accumulates in prior is a formation path of optimum balanced growth of the reproduction. An example support from Marx’s “Das kapital” was drawn upon and made calculation to verify the path mentioned.
keywords:political economy  optimum balanced growth  path  continuous function  series
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