A noisy versus n-noisy duel with retreat after shots

The duel considered is made of two players, player I moving with constant velocity vÅ1 and having m=1 missiles, player II moving with constant velocity vÅ2 and having n missiles, v1>v2. The dual is noisy. It is a zero-sum game. The author considers various subcases of this general duel and the strategies of both players for these subcases, with special attention to optimality or •-optimality of these strategies, where •-optimality (•-maximum) is related to shooting within a time interval of length α(•), α(•)⇒0 with •⇒0.