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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2023, Volume 29, Number 3, Pages 88–105
DOI: https://doi.org/10.21538/0134-4889-2023-29-3-88-105 (Mi timm2020) 		 
Young Duality of Variational Inequalities. An Application for the Analysis of Interactions in Production Networks

N. K. Obrosova, A. A. Shananin

Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.21538/0134-4889-2023-29-3-88-105
Abstract: We develop a mathematical technique of Young dual variational inequalities, which are used to model market equilibrium in a network of production clusters that are heterogeneous from a technological point of view. Two formulations of the problem are considered: for a closed system with a given constraint on resources and for an open system in which resources can be supplied from outside at given prices. A theorem is proved on the existence of a solution to the variational inequality corresponding to market equilibrium in an open system.
Keywords: production network, heterogeneity, variational inequality, Young duality, market equilibrium, resource allocation problem.
Funding agency Grant number
Russian Science Foundation 23-21-00429
This work was supported by the Russian Science Foundation (project no. 23-21-00429, https://rscf.ru/project/23-21-00429/) .
Received: 11.05.2023
Revised: 19.06.2023
Accepted: 26.06.2023
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2023, Volume 323, Issue 1, Pages S194–S210
DOI: https://doi.org/10.1134/S0081543823060172
Bibliographic databases:
Document Type: Article
UDC: 519.863
MSC: 91B32, 90C25
Language: Russian
Citation: N. K. Obrosova, A. A. Shananin, “Young Duality of Variational Inequalities. An Application for the Analysis of Interactions in Production Networks”, Trudy Inst. Mat. i Mekh. UrO RAN, 29, no. 3, 2023, 88–105; Proc. Steklov Inst. Math. (Suppl.), 323, suppl. 1 (2023), S194–S210
Citation in format AMSBIB
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\paper Young Duality of Variational Inequalities. An Application for the Analysis of Interactions in Production Networks
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\yr 2023
\vol 29
\issue 3
\pages 88--105
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\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2023
\vol 323
\issue , suppl. 1
\pages S194--S210
\crossref{https://doi.org/10.1134/S0081543823060172}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85185115844}
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