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 Zh. Vychisl. Mat. Mat. Fiz., 2020, Volume 60, Number 3, Pages 520–533 (Mi zvmmf11052)

The problem of identifying the model of substitution of production factors

E. G. Molchanov

Moscow Institute of Physics and Technology, Dolgoprudnyi, Moscow oblast, 141701 Russia

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.

Key words: substitution of production factors, substitution elasticity, generalized Houthakker–Johansen model, Leontief's input-output model.

 Funding Agency Grant Number Russian Science Foundation 16-11-10246 This work was supported by the Russian Science Foundation, project no. 16-11-10246.

DOI: https://doi.org/10.31857/S0044466920030138

English version:
Computational Mathematics and Mathematical Physics, 2020, 60:3, 514–527

Bibliographic databases:

UDC: 5129.86
Revised: 05.08.2019
Accepted:18.11.2019

Citation: E. G. Molchanov, “The problem of identifying the model of substitution of production factors”, Zh. Vychisl. Mat. Mat. Fiz., 60:3 (2020), 520–533; Comput. Math. Math. Phys., 60:3 (2020), 514–527

Citation in format AMSBIB
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