| Abstract: | Two-person zero-sum differential games of survival are investigated. It is assumed that player I, as well as player II, can employ during the course of the game any lower π-strategy [2], π(ti) being a finite partition of [t0, ∞). The concept of a discrete lower π-strategy is introduced and it is shown that if player I (II) confines himself to the space of discrete lower π-strategies, being a subset of the space of lower π-strategies, then he will be able to force the same lower (upper) value as if he could employ any lower π-strategy. Since we do not use any deep facts about differential games, the results contained here might be extended to continuous games. |
