THE PROBLEM OF AIMING AND EVASION
RAND CORP SANTA MONICA CA
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The general problem of a marksman versus a mobile target, with a time lag in the gunners information as to the targets position, is mathematically analyzed. Formulated in terms of game theory, the desiderata are How should the target best maneuver to confound prediction of his position. How and when should the marksman make this prediction. What hit probability is to be expected when both participants behave optimally. The emphasis is on the marksman. He has no optimal strategy, but does have an ideal strategy with the property that every near optimal strategy is close to it. He also has a class of passive epsilon-strategies such that if and only if he obeys their dictates will he either come within epsilon of the best hit probability or else always remain in a position where it is possible to do so.
- Operations Research