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An $$m$$-vs.-$$n$$-bullets silent duel with arbitrary motion and arbitrary accuracy functions. (English) Zbl 0799.90150
Summary: A silent duel is considered in which Player I has $$m$$ bullets, Player II has $$n$$ bullets, the accuracy functions are arbitrary and the players can move as they like. Player I has greater speed than Player II and fires his bullets simultaneously. For this duel the optimal strategies are determined and the value of the game is found. The duel is solved under general assumptions on the payoff function.
##### MSC:
 91A55 Games of timing
##### Keywords:
silent duel; optimal strategies