Differential Games of Generalized Pursuit and Evasion

Differential games of generalized pursuit and evasion are studied by comparing them with differential games of fixed duration, for which a theory already has been established. It is shown that if the Isaacs condition holds and the data satisfy reasonable hypotheses, then the games have values which are continuous functions of the initial time and state. If the data satisfy appropriate Lipschitz conditions, then the value is Lipschitz continuous and satisfies the Isaacs equation at all points of differentiability of the value.

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