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Nash Equilibrium

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

Yurii Averboukh, Nash equilibrium in differential games and the construction of the programmed iteration method // Mat. Sb., 2011, Volume 202, Number 5, Pages 3–28 (Mi msb7568).

This work is devoted to the study of nonzero-sum differential games. The set of payoffs in a situation of Nash equilibrium is examined. It is shown that the set of payoffs in a situation of Nash equilibrium coincides with the set of values of consistent functions which are fixed points of the program absorption operator. A condition for functions to be consistent is given in terms of the weak invariance of the graph of the functions under a certain differential inclusion. 
Bibliography: 18 titles. 

Ключевые слова: differential games, Nash equilibrium, programmed iteration method.

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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

Map

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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