Interpolation of strategies of differential games under uncertainty (Q1100104)

The following types of differential pursuit-evasion games are considered: A differential game with inequality constraints on the controls of the players, and differential games with integral payoffs in the case of a fixed or a non-fixed time of termination of the game. A pursuer strategy is constructed that takes into account the incompleteness of information about the control possibilities of the opponent and possible changes in the nature of the game (i.e., going over from antagonistic games to cooperative or stochastic games). This construction is based on interpolation of the optimal strategies of the pursuer in the cases of optimal counteraction, the absence of counteraction, and optimal cooperation of the other player. Numerical examples are presented.