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Taurida Journal of Computer Science Theory and Mathematics, 2020, Issue 3, Pages 15–18
DOI: https://doi.org/10.37279/1729-3901-2020-19-3-15-18 (Mi tvim92) 		 
The stability of coalitional structure in differential linear-quadratic game of four persons

V. I. Zhukovskii, S. P. Samsonov, V. E. Romanova

Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics, Department of Optimal Control, Leninskiye Gory, GSP-1, Moscow, 119991, Russia
Full-text PDF (271 kB)
DOI: https://doi.org/10.37279/1729-3901-2020-19-3-15-18
Abstract: In article coefficient criteria of the stability of coalitional structure in differential linear-quadratic positional game of 4 persons are established. Following the approach adopted in the article, it is possible to obtain coefficient criteria of the stability of coalitional structures both in games with a large number of players and for other coalitional structures.
Keywords: coalitional games, threats and counterthreats, Pareto maximum, stability of coalitional structure.
Document Type: Article
UDC: 519.977
MSC: 91A06, 91B50
Language: English
Citation: V. I. Zhukovskii, S. P. Samsonov, V. E. Romanova, “The stability of coalitional structure in differential linear-quadratic game of four persons”, Taurida Journal of Computer Science Theory and Mathematics, 2020, no. 3, 15–18
Citation in format AMSBIB
\Bibitem{ZhuSamRom20}
\by V.~I.~Zhukovskii, S.~P.~Samsonov, V.~E.~Romanova
\paper The stability of coalitional structure in differential linear-quadratic game of four persons
\jour Taurida Journal of Computer Science Theory and Mathematics
\yr 2020
\issue 3
\pages 15--18
\mathnet{http://mi.mathnet.ru/tvim92}
\crossref{https://doi.org/10.37279/1729-3901-2020-19-3-15-18}
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