两大部类持续扩大再生产的优化
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引用本文:陶为群.两大部类持续扩大再生产的优化[J].经济数学,2015,(3):1-6
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作者单位
陶为群 (中国人民银行南京分行南京210004) 
中文摘要:基于经典的马克思两大部类社会再生产公式,建立了离散确定型的持续扩大再生产的优化问题的动态规划模型.在生产资料部类的不变资本产出率高于另一部类的条件下,动态规划的指标函数是作为决策变量的生产资料部类积累率的单调函数,因而可以使用逆序解法或者顺序解法, 获得唯一的最优策略和最优指标函数.借助《资本论》中的一个举例,计算验证了最优解.
中文关键词:政治经济学,持续扩大再生产  优化  动态规划  逆序解法
 
The Optimization of the Two-sector Continuous Expanded Reproduction
Abstract:Based on classical Marx's two-sector reproduction scheme, this paper established a dynamic programming model of the optimization problem of the continuous expanded reproduction. The model is a dispersed and determined type. Depending on the condition that the constant capital output ratio of the capital goods sector is higher than that of another sector , the target function in the dynamic programming is a monotone function of the accumulation rate of the capital goods sector , which is treated as a decision variable. Therefore, only the optimum strategy and optimum target function can be obtained by the inverted sequence solution. An example from Marx's "Das kapital" was drawn upon to verify the optimum solution.
keywords:political economy  continuous expanded reproduction  optimization  dynamic programming  inverted sequence solution
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