On Differential Games

Differential game theoretic analysis of a problem of warfare

“…It is also assumed that these sets contain the optimal strategies of A" and Y. Thus, the theory of differential games as presented by the author in [1] can be applied to this problem. The Eqs.…”

“…In terms of the initial state of the game, these can be rewritten as It has been shown in [1] that whenever the opponents are using pure counterforce targeting (not necessarily the optimal targeting strategy), the war can be prevented if the initial conditions satisfy inequalities (7a) and (7b). The region of deterrence decreases with increases inf r and/or/y.…”

“…A problem of missile warfare was introduced as an example in a previous article ref. [1]. It is con sidered here in a more general form.…”