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Trudy Inst. Mat. i Mekh. UrO RAN, 2014, Volume 20, Number 3, Pages 26–40 (Mi timm1083)  

Universal Nash equilibria in $n$-person differential games

Yu. V. Averboukhab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Ural Power Engineering Institute

Abstract: We consider differential games of a finite number of players in the class of strategies with a guide proposed by Krasovskii and Subbotin. A family of strategies that guarantee the Nash equilibrium for any initial position from a given compact set is constructed. The construction is based on a multivalued function satisfying some stability conditions. The existence of this value function is established.

Keywords: differential games, Nash equilibrium, strategies with a guide.

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Bibliographic databases:
UDC: 517.977
Received: 30.04.2014

Citation: Yu. V. Averboukh, “Universal Nash equilibria in $n$-person differential games”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 3, 2014, 26–40

Citation in format AMSBIB
\Bibitem{Ave14}
\by Yu.~V.~Averboukh
\paper Universal Nash equilibria in $n$-person differential games
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2014
\vol 20
\issue 3
\pages 26--40
\mathnet{http://mi.mathnet.ru/timm1083}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3364415}
\elib{https://elibrary.ru/item.asp?id=23503110}


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