Inflation risks estimation in a restructuring economy in terms of a network production model with infrastructure constraints
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 21 (2024) no. 2, pp. A21-A56 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The article presents a nonlinear network model of intersectoral balance featuring production functions with constant elasticity of substitution and constraints on the capacities of economic sectors. The mathematical framework of the model is developed through a series of works by the authors and is based on the application of Young duality in convex programming problems that describe resource allocation within the production network. The network model takes into account potential changes in the behavior of economic agents in response to shocks and allows for a clear interpretation of input and output indicators in terms of official national accounts statistics. Our approach enables the calculation of shifts in economic equilibrium within the space of intersectoral supply and prices under shock conditions in a real production network, considering capacity constraints that lead to additional costs. The developed model has been identified using official data from Russian statistics. We apply the model for analysis of medium-term inflation risks in the Russian economy, as well as the impact of constraints related to the underdevelopment of the infrastructure complex on these risks.
Keywords: production network, nonlinear input-output model, resource allocation problem, Young duality, competitive equilibrium, CES production function, identification problem, input-output table, inflation risks.
@article{SEMR_2024_21_2_a64,
     author = {N. K. Obrosova and A. A. Spiridonov and A. A. Shananin},
     title = {Inflation risks estimation in a restructuring economy in terms of a network production model with infrastructure constraints},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {A21--A56},
     year = {2024},
     volume = {21},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2024_21_2_a64/}
}
TY  - JOUR
AU  - N. K. Obrosova
AU  - A. A. Spiridonov
AU  - A. A. Shananin
TI  - Inflation risks estimation in a restructuring economy in terms of a network production model with infrastructure constraints
JO  - Sibirskie èlektronnye matematičeskie izvestiâ
PY  - 2024
SP  - A21
EP  - A56
VL  - 21
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/SEMR_2024_21_2_a64/
LA  - ru
ID  - SEMR_2024_21_2_a64
ER  - 
%0 Journal Article
%A N. K. Obrosova
%A A. A. Spiridonov
%A A. A. Shananin
%T Inflation risks estimation in a restructuring economy in terms of a network production model with infrastructure constraints
%J Sibirskie èlektronnye matematičeskie izvestiâ
%D 2024
%P A21-A56
%V 21
%N 2
%U http://geodesic.mathdoc.fr/item/SEMR_2024_21_2_a64/
%G ru
%F SEMR_2024_21_2_a64
N. K. Obrosova; A. A. Spiridonov; A. A. Shananin. Inflation risks estimation in a restructuring economy in terms of a network production model with infrastructure constraints. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 21 (2024) no. 2, pp. A21-A56. http://geodesic.mathdoc.fr/item/SEMR_2024_21_2_a64/

[1] C. Chakraborty, A. Joseph, Machine Learning at Central Banks, Bank of England Staff Working Paper, No 674, 2017 | DOI

[2] D. Kreptsev, S. Seleznev, “Forecasting for the Russian economy using small-scale DSGE models”, Russian Journal of Money and Finance, 77:3 (2018), 51–67 | DOI

[3] B.P. Dixon, D.W. Jorgenson (eds.), Handbook of Computable General Equilibrium Modeling, Elsevier, North Holland, 2012 | DOI

[4] A.A. Shananin, “Young duality and aggregation of balances”, Dokl. Math., 102:1 (2020), 330–333 | DOI | MR | Zbl

[5] A.A. Shananin, “Problem of aggregating of an input-output model and duality”, Comput. Math. Math. Phys., 61:1 (2021), 153–166 | DOI | MR | Zbl

[6] N.K. Obrosova, A.A. Shananin, “Young duality of variational inequalities. An application for the analysis of interactions in production networks”, Proc. Steklov Inst. Math., 323, Suppl. 1 (2023), S194–S210 | DOI | MR | Zbl

[7] N. Obrosova, A. Shananin, “General equilibrium models in production networks with substitution of inputs”, Mathematical optimization theory and operations research, 22nd international conference, MOTOR 2023, Proceedings (Ekaterinburg, Russia), Lect. Notes Comput. Sci., 13930, eds. Khachay M. et al., Springer, Cham, 2023, 3–22 | DOI | MR | Zbl

[8] A. Boranbayev, N. Obrosova, A. Shananin, “Nonlinear input-output balance and Young duality: analysis of Covid-19 macroeconomic impact on Kazakhstan”, Sib. Èlektron. Mat. Izv., 19:2 (2022), 835–851 http://semr.math.nsc.ru/v19/n2/p835-851.pdf | MR

[9] N. Obrosova, A. Shananin, “A nonlinear input-output model with capacitiy constraints”, Sib. Èlektron. Mat. Izv., 21:2 (2024), 654–668 http://semr.math.nsc.ru/v21/n2/p0654-0668.pdf | MR

[10] W.W. Leontief, “Quantitative input-output relations in the economic system of the United States”, Review of Economics Statistics, 18:3 (1936), 105–125 | DOI

[11] W.W. Leontief, The structure of American economy, 1919-1939: An empirical application of equilibrium analysis, Oxford University Press, New York, 1951 | DOI

[12] Y.V. Yaremenko, Teoriia i metodologiia issledovaniia mnogourovnevoi ekonomiki, Nauka, M., 1997

[13] S.A. Ashmanov, Introduction to mathematical economics, Nauka, M., 1984 | MR | Zbl

[14] H. Nikaido, Convex structures and economic theory, Academic Press, New York-London, 1968 | MR | Zbl

[15] System of national accounts 2008, International Monetary Fund, New York, 2009 | DOI

[16] R. Stone, Input-output and national accounts, OECD, Paris, 1961

[17] A.A. Ebiefung, M.M. Kostreva, “The generalized Leontief input-output model and its application to the choice of new technology”, Ann. Oper. Res., 44:1-4 (1993), 161–172 | DOI | MR | Zbl

[18] F. Tanaka, “Applications of Leontief's input-output analysis in our economy”, Nagasaki Prefectural University Faculty of Economics, 45:1 (2011), 29–96 http://hdl.handle.net/10561/874

[19] R.E. Miller, P.D. Blair, Input-output analysis: Foundations and extensions, Second Edition, Cambridge University Press, Cambridge, 2009 | DOI | MR

[20] V.V. Ivanter, “Role of input-output model in macroeconomic analysis and forecasting”, Stud. Russ. Econ. Dev., 29 (2018), 581–583 | DOI

[21] A.A. Shirov, “Use of Input-Output Approach for Supporting Decisions in the Field of Economic Policy”, Stud. Russ. Econ. Dev., 29 (2018), 588–597 | DOI

[22] I.D. Masakova, “The Russian practice of compiling input-output tables: Problems and prospects of development”, Stud. Russ. Econ. Dev., 30 (2019), 119–128 | DOI

[23] A.A. Ponomarenko, S.V. Popova, A.A. Sinyakov, N.A. Turdyeva, D.N. Chernyadyev, Assessing the consequences of the epidemic for the Russian economy through the prism of the inter-industry balance, Analytical note of the Bank of Russia, 2020, 17 pp.

[24] M.N. Uzyakov, A.Y. Maslov, A.Y. Gubanov, “On the development of an updated version of the series of input-output balances of the Russian Federation in constant and current prices for 1980-2004”, Scientific Proceedings: Institute of Economic Forecasting RAS, 4 (2006), 648–657

[25] A. Sayapova, “Product and industry input-output tables”, Scientific Proceedings: Institute of Economic Forecasting RAS, 11 (2013), 405–429 https://EconPapers.repec.org/RePEc:scn:031151:15347618

[26] The Ministry of Economic Development of the Russian Federation Homepage, (Last accessed 8 July 2024) https://www.economy.gov.ru

[27] A. Sayapova, “Product and industry input-output tables”, Scientific Proceedings: Institute of Economic Forecasting RAS, 11 (2013), 405–429 ; “Forecasting for the Russian economy using small-scale DSGE models”, Russian Journal of Money and Finance, 77:2 (2018), 51–67 https://EconPapers.repec.org/RePEc:scn:031151:15347618 | DOI

[28] Organisation for Economic Co-operation and Development Homepage, (Last accessed 8 July 2024) https://www.oecd.org/en/data/datasets/input-output-tables.html

[29] Federal State Statistics Service Homepage, (Last accessed 8 July 2024) https://eng.rosstat.gov.ru/folder/13913

[30] A. Shirov, D. Belousov, A.Blokhin at al., “Russia 2035: The new quality of the national economy”, Stud. Russ. Econ. Dev., 77 (2024), 6–20 | DOI