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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2018 Volume 58, Number 2, Pages 181–191 (Mi zvmmf10671)

This article is cited in 4 papers

Inverse problems in economic measurements

A. A. Shananinabcd

a Peoples Friendship University, Moscow, Russia
b Moscow Institute of Physics and Technology, Dolgoprudnyi, Moscow oblast, Russia
c Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia
d Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, Moscow, Russia

Abstract: The problem of economic measurements is discussed. The system of economic indices must reflect the economic relations and mechanisms existing in society. An achievement of the XX century is the development of a system of national accounts and the gross domestic product index. However, the gross domestic product index, which is related to the Hamilton–Pontryagin function in extensive economic growth models, turns out to be inadequate under the conditions of structural changes. New problems of integral geometry related to production models that take into account the substitution of production factors are considered.

Key words: gross domestic product, economic growth model, Hamilton–Pontryagin function, Houthakker-Johansen model, integral geometry, Bernstein's theorems.

UDC: 519.698

Received: 12.09.2017

DOI: 10.7868/S0044466918020035


 English version:
Computational Mathematics and Mathematical Physics, 2018, 58:2, 170–179

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© Steklov Math. Inst. of RAS, 2026