Abstract
A several-person position differential game is analyzed. Each player wants to lead the current position onto his own target set within his own constraints. A theorem, whose meaning follows, is proved under specified conditions. For each initial position either there is a single player resolving his own guidance problem under all possible counteractions of the remaining players or a control method can be found for all players such that not one of them can solve his own guidance problem if all the rest adhere to the control method mentioned. The proof is based on an assertion on an alternative for a two-person position differential game from [1]. Various aspects of several-person position differential games have been considered also in [2–4].
Published Version
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