Titlebook: New Trends in Dynamic Games and Applications; Annals of the Intern Geert Jan Olsder Conference proceedings 1995 Birkhäuser Boston 1995 Alge

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Control of Informational Sets in a Pursuit Problemsuer-evader line of sight and tries to minimize the final miss. Corresponding to the original problem, the auxiliary differential game is formulated, where the informational set and the residual resource of impulse control constitute the position of the game. The first player’s strategy is the base

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Linear Avoidance in the Case of Interaction of Controlled Objects Groupsitative conclusion about avoidance problem solvability is developed depending on the ratio of numbers ., . and .. The avoidance problem from given initial states is considered as auxiliary. The results have a bearing on the research reported in [1–7].

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Convergence of Discrete Schemes for Discontinuous Value Functions of Pursuit-Evasion Games works for problems with discontinuous value function as well, and it is new even for the case of a single player. We use some very recent results on generalized (viscosity) solutions of the Dirichlet boundary value problem associated to the Isaacs equation, and a suitable variant of Fleming’s notio

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Undiscounted Zero Sum Differential Games with Stopping Timessfies an integral inequality of Isaacs type that we can discretize using finite difference or finite element techniques..The fully discrete problem defines a stochastic game problem associated with the process, which may have, in general, multiple solutions. Among these solutions there exists one wh

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Guaranteed Result in Differential Games with Terminal Payoffl scheme of the Resolving Functions method [2]. The gist of the suggested method is presentation of the Resolving Function by means of the function conjugate to the payoff, and employing of involutory property of the conjugation operator for closed convex functions to obtain guarantee estimation of

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