Abstract:
The private classes of the differential hierarchical games of two players in programming strategies are considered in this article. Their interpretation is given as models to corruptions and controls of the sustainable development in hierarchical systems. The optimum principles for these classes of the games as modifications of the Stackelberg balance are formulate. The algorithms of the construction balance of these games are offered. These algorithms are approved on numeric examples.
Citation:
Gennady A. Ougolnitsky, Anatoliy B. Usov, “Dynamic hierarchical play two persons in programme strategy and their exhibits”, Mat. Teor. Igr Pril., 5:2 (2013), 82–104; Autom. Remote Control, 76:11 (2015), 2056–2069
\Bibitem{OugUso13}
\by Gennady~A.~Ougolnitsky, Anatoliy~B.~Usov
\paper Dynamic hierarchical play two persons in programme strategy and their exhibits
\jour Mat. Teor. Igr Pril.
\yr 2013
\vol 5
\issue 2
\pages 82--104
\mathnet{http://mi.mathnet.ru/mgta110}
\transl
\jour Autom. Remote Control
\yr 2015
\vol 76
\issue 11
\pages 2056--2069
\crossref{https://doi.org/10.1134/S0005117915110144}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000365177600014}
Linking options:
https://www.mathnet.ru/eng/mgta110
https://www.mathnet.ru/eng/mgta/v5/i2/p82
This publication is cited in the following 10 articles:
M. A. Reshitko, G. A. Ugolnitskii, A. B. Usov, “Chislennyi metod nakhozhdeniya ravnovesii Nesha i Shtakelberga v modelyakh kontrolya kachestva rechnykh vod”, Kompyuternye issledovaniya i modelirovanie, 12:3 (2020), 653–667
Gennadii A. Ugolnitskii, Anatolii B. Usov, “Dinamicheskie modeli soglasovaniya chastnykh i obschestvennykh interesov pri prodvizhenii innovatsii”, MTIP, 11:1 (2019), 96–114
D. R. Kuvshinov, S. I. Osipov, “Numerical construction of Stackelberg solutions in a linear positional differential game based on the method of polyhedra”, Autom. Remote Control, 79:3 (2018), 479–491
A. I. Sukhinov, A. E. Chistyakov, G. A. Ugol'nitskii, A. B. Usov, A. V. Nikitina, M. V. Puchkin, I. S. Semenov, “Game-theoretic regulations for control mechanisms of sustainable development for shallow water ecosystems”, Autom. Remote Control, 78:6 (2017), 1059–1071
G. A. Ougolnitsky, A. B. Usov, “Solution algorithms for differential models of hierarchical control systems”, Autom. Remote Control, 77:5 (2016), 872–880
A. Nikitina, A. I. Sukhinov, G. A. Ugolnitsky, A. B. Usov, A. E. Chistyakov, M. Puchkin, I. S. Semenov, “Optimal control of sustainable development in biological rehabilitation of the Azov Sea”, Math. Models Comput. Simul., 9:1 (2017), 101–107
A. V. Nikitina, M. V. Puchkin, I. S. Semenov, A. I. Sukhinov, G. A. Ugolnitskii, A. B. Usov, A. E. Chistyakov, “Differentsialno-igrovaya model predotvrascheniya zamorov v melkovodnykh vodoemakh”, UBS, 55 (2015), 343–361
G. A. Ugolnitskii, A. B. Usov, “Modelirovanie korruptsii v trekhurovnevykh sistemakh upravleniya”, Probl. upravl., 1 (2014), 53–62
Gennadii A. Ugolnitskii, Anatolii B. Usov, “Modeli borby s administrativnoi korruptsiei v ierarkhicheskikh sistemakh upravleniya”, MTIP, 6:1 (2014), 73–90
Ugol'nitskii G.A., Usov A.B., “Dynamic Models of Struggle Against Corruption in Hierarchical Management Systems of Exploitation of Biological Resources”, J. Comput. Syst. Sci. Int., 53:6 (2014), 939–947
Citation in format AMSBIB
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