Ship defense against highly maneuverable antiship missiles is formulated as an imperfect information zerosum pursuit-evasion game. The analysis is performed using a planar kinematic model linearized around a nominal collision course. The solution of the game is in mixed strategies. A numerical example, using simplified pure strategy sets, demonstrates that in a one vs one engagement the antiship missile has a nonzero probability of success. The methodology introduced provides new insight required for the development of future antiship missiles and ship defense systems.
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Lipman et al. (1996) studied this question.
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