Nash equilibrium in differential games and the quasi-strategy formalism |
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Authors: | Yu V Averboukh |
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Affiliation: | 1. Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia 2. Ural Federal University, Yekaterinburg, Russia
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Abstract: | We consider a two-player nonzero-sum differential game in the case where players use nonanticipative strategies. We define the Nash equilibrium in this case and obtain a characterization of Nash equilibrium strategies. We show that a Nash equilibrium solution can be approximately realized by control-with-guide strategies. |
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