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Название: An Introduction to Dynamic Games
Авторы: Haurie A., Krawczyk J.
Dynamic Games are mathematical models of the interaction between different agents who are controlling a dynamical system. Such situations occur in many instances like armed conﬂicts (e.g. duel between a bomber and a jet ﬁghter), economic competition (e.g. investments in R&D for computer companies), parlor games (Chess, Bridge). These examples concern dynamical systems since the actions of the agents (also called players) inﬂuence the evolution over time of the state of a system (position and velocity of aircraft, capital of know-how for Hi-Tech ﬁrms, positions of remaining pieces on a chess board, etc). The difﬁculty in deciding what should be the behavior of these agents stems from the fact that each action an agent takes at a given time will inﬂuence the reaction of the opponent(s) at later time. These notes are intended to present the basic concepts and models which have been proposed in the burgeoning literature on game theory for a representation of these dynamic interactions.