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The Problem of Identifying the Model of Substitution of Production Factors
Computational Mathematics and Mathematical Physics ( IF 0.7 ) Pub Date : 2020-05-12 , DOI: 10.1134/s0965542520030136
E. G. Molchanov

Abstract

The generalized Houthakker–Johansen model that makes it possible to identify the substitution of production factors on the basis of the available Russian statistical data is studied. Combinatorial structures related to the problem of elasticity of production factor substitution at the microlevel are investigated. A necessary and a sufficient conditions for the solvability of the moment problem arising in the estimation of the elasticity of production factor substitution at the microlevel are formulated and proved in the language of combinatorial structures called rhombus tilings. The generalized Houthakker–Johansen model is identified on the basis of the Russian statistical data. The estimates of the production factor import obtained on the basis of Leontief’s hypothesis that the cost per unit is constant and the estimates calculated on the basis of the generalized Houthakker–Johansen model are compared.



中文翻译:

确定生产要素替代模型的问题

摘要

研究了广义的Houthakker-Johansen模型,该模型可以根据可用的俄罗斯统计数据确定生产要素的替代。在微观层面研究了与生产要素替代弹性问题相关的组合结构。提出了在微观水平上估算生产要素替代弹性的矩问题的可解性的必要和充分条件,并用称为菱形平铺的组合结构的语言加以证明。基于俄罗斯统计数据确定了广义的Houthakker-Johansen模型。

更新日期:2020-05-12
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