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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2011, Issue 2, Pages 3–11
(Mi vuu213)
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This article is cited in 1 scientific paper (total in 1 paper)
MATHEMATICS
Infinitesimal characterization of Nash equilibrium for differential games with many players
Yu. V. Averboukh Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia
Abstract:
We study Nash equilibrium for a differential game with many players. The condition on a multivalued map under which any value of this map is a set of Nash equilibrium payoffs is obtained. This condition is written in infinitesimal form. The sufficient condition for the given complex of continuous functions to provide a Nash equilibrium is obtained. This condition is a generalization of the method based on system of Hamilton–Jacobi equations.
Keywords:
Nash equilibrium, differential games, generalized derivatives.
Received: 09.12.2010
Citation:
Yu. V. Averboukh, “Infinitesimal characterization of Nash equilibrium for differential games with many players”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 2, 3–11
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https://www.mathnet.ru/eng/vuu213 https://www.mathnet.ru/eng/vuu/y2011/i2/p3
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Abstract page: | 400 | Full-text PDF : | 185 | References: | 90 | First page: | 1 |
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