Geodesic
Inverse problems of the analysis of input-output balances
Matematičeskoe modelirovanie, Tome 33 (2021) no. 3, pp. 39-58

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The paper proposes a modification of the approach to the analysis of inter-sectoral balance. Instead of V.V. Leontiev's assumption about the constancy of the cost rates of production factors, a more realistic assumption about the constancy of the proportions of inter-industry cash flows is used in modern conditions. We propose an algorithm for solving the inverse problem that allows us to identify a model of nonlinear inter-industry balance with a utility function and production functions of Cobb-Douglas type based on the data of the symmetric input-output table. Based on the use of the Young transform and Fenchel duality, a technology for analyzing inter-sectoral relationships using this model has been developed. The technology has been tested on the data of economic statistics of Russia.
Keywords: inverse problem, symmetric table of intersectoral balance, Fenchel duality, Young transform.
Mots-clés : Lagrange multipliers 
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     title = {Inverse problems of the analysis of input-output balances},
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A. V. Rassokha; A. A. Shananin. Inverse problems of the analysis of input-output balances. Matematičeskoe modelirovanie, Tome 33 (2021) no. 3, pp. 39-58. http://geodesic.mathdoc.fr/item/MM_2021_33_3_a2/