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 3â28 (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.
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Вернуться в раздел Nash Equilibrium
Соседние подразделы:
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Stackelberg Solutions of Differential Games
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Reconstruction of Differential Games
The purpose of these papers is: by given value function find the differential game.... |
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Geometrical Properties of Differential Games
The papers devoted to continuity of stable bridges.... |
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Transformation of Guidance Problems
The transformation of the given approach problem to the approach problem "in the moment".... |
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PhD Thesis
Supervisor: professor A.G. Chentsov Date of PhD defence: October 25, 2007 г. The text of thesis is in Russian.... |
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Extremal Shift rule. Analogs
Analogs of the extremal shift rule for the case of nonstable bridge.... |
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Other
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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Modelling
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