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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2010, Volume 2, Issue 2, Pages 42–65 (Mi mgta34)  
Strong equilibrium construction in a noncooperative differential game

Nikolay A. Zenkevich, Andrey V. Zyatchin

Graduate School of Management, Department of Operations Management, St. Petersburg University
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Abstract: A strong equilibrium technique is proposed. It is based on a special scalarization of multicreteria problem. Sufficient conditions for strong equilibrium to exist are proved. The result is illustrated on asymmetric differential game with two players, where strong equilibrium is found in explicit form.
Keywords: differential game, Nash equilibrium, strong equilibrium.
Document Type: Article
UDC: 518.9+517.9
BBC: 65.050.2
Language: Russian
Citation: Nikolay A. Zenkevich, Andrey V. Zyatchin, “Strong equilibrium construction in a noncooperative differential game”, Mat. Teor. Igr Pril., 2:2 (2010), 42–65
Citation in format AMSBIB
\Bibitem{ZenZya10}
\by Nikolay~A.~Zenkevich, Andrey~V.~Zyatchin
\paper Strong equilibrium construction in a~noncooperative differential game
\jour Mat. Teor. Igr Pril.
\yr 2010
\vol 2
\issue 2
\pages 42--65
\mathnet{http://mi.mathnet.ru/mgta34}
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