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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Volume 20, Number 1, Pages 148–155 (Mi timm1038)  
The compromise principle in many-person differential games

S. V. Lutamanov

Perm State National Research University
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Abstract: The concept of compromise set of strategies for a many-person differential game is proposed. The method of its construction in the class of positional strategies is validated. The constructed set of strategies is a compromise set for any initial position from some set in the phase space and possesses the property of dynamic stability. A model example is presented.
Keywords: compromise set of strategies, Nash equilibrium, differential game, stable bridge, extremal aiming.
Received: 20.02.2013
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: S. V. Lutamanov, “The compromise principle in many-person differential games”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 1, 2014, 148–155
Citation in format AMSBIB
\Bibitem{Lut14}
\by S.~V.~Lutamanov
\paper The compromise principle in many-person differential games
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2014
\vol 20
\issue 1
\pages 148--155
\mathnet{http://mi.mathnet.ru/timm1038}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3364200}
\elib{https://elibrary.ru/item.asp?id=21258491}
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