This article is cited in 1 paper

Nash equilibrium for differential game and nonanticipative strategies technique

Yurii V. Averboukh

Institute of Mathematics and Mechanics UrB RAS

Abstract: We consider two person nonzero-sum games in the class of nonanticipative strategies. The Nash equilibrium for this case is defined. Also we give the characterization of Nash equilibrium strategies. It is shown that the Nash equilibrium solution in the class of nonanticipative strategies can be approximated by the strategies with the model.

Keywords: Nash equilibrium, nonanticipative strategies, control with model.

UDC: 517.977.8
BBK: 22.162

 English version: Automation and Remote Control, 2014, 75:8, 1491–1502

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