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Nash Equilibrium

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

Yurii Averboukh, Infinitesimal characterization of Nash equilibrium for differential games with many players // Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 2, 3–11.

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. 

Ключевые слова: Nash equilibrium, differential games, generalized derivatives.

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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....

Открыть раздел Other