The one-on-one air combat problem has been studied by both theoreticians and pilots, beginning with the “dogfights” of World War I. Since that time, aircraft and weapon capabilities have vastly increased, but no comparable improvements in pilot tactics or maneuver algorithms have been acknowledged. The advent of new sensors and onboard computing capabilities suggest that the theory of differential games may be applied to this problem. A review of the work done in this field is followed by discussion of a practical method of convincing the pilot of the validity of this theory.

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