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Nash Equilibrium

This section contains my papers devoted to the Nash Equilibrium in differential games.

Yurii V. Averboukh, Nash equilibrium for differential game and nonanticipative strategies technique // Yurii V. Averboukh, “Nash equilibrium for differential game and nonanticipative strategies technique”, Mat. Teor. Igr Pril., 4:3 (2012), 3–20.

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 guide. 

Ключевые слова: Nash equilibrium, nonanticipative strategies, control with model.

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Вернуться в раздел Nash Equilibrium

Соседние подразделы:
Stackelberg Solutions of Differential Games
Reconstruction of Differential Games
The purpose of these papers is: by given value function find the differential game....
Geometrical Properties of Differential Games
The papers devoted to continuity of stable bridges....
Transformation of Guidance Problems
The transformation of the given approach problem to the approach problem "in the moment"....
PhD Thesis
Supervisor: professor A.G. Chentsov Date of PhD defence: October 25, 2007 г. The text of thesis is in Russian....
Extremal Shift rule. Analogs
Analogs of the extremal shift rule for the case of nonstable bridge....
Other
The papers are devoted to the character of the convergence of the programmed absorption mathed. The coathor is professor A.G. Chentsov....
Modelling

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The reverse Stackelberg solution of a two-person nonzero-sum differential game is considered. We assume that the leader plays in the class of nonanticipative strategies....
Открыть раздел Stackelberg Solutions of Differential Games
The papers are devoted to the character of the convergence of the programmed absorption mathed. The coathor is professor A.G. Chentsov....

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