MINIMAX PREDICTION AND AN EVASION GAME.
Interim research memo.,
CENTER FOR NAVAL ANALYSES ALEXANDRIA VA OPERATIONS EVALUATION GROUP
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The problem of determining how an evading target should maneuver to survive a lethal weapon, and reciprocally, how the attacker or marksman should aim and when he should fire is, in its general form, much too complex for a satisfactory solution. In this paper, an idealized version of the problem is formulated and solved as a 2 person zero sum game. The game is shown to have a saddle point with pure strategies. The evader moves in one dimension and is constrained to choose from a class of Gaussian processes. The marksman uses linear prediction theory, observing the complete past history of the evaders motion. Author