AN APPROXIMATION FOR A CONTINUOUS DATUM SEARCH GAME WITH ENERGY CONSTRAINT

This paper deals with a datum search game, where a target reveals his position (datum point) at a certain time (datum time) and a pursuer begins the search for the target by distributing his searching eort some time ? later. The target might move in the diusive fashion from the datum point to evade his pursuer. His motion is restricted by its continuity in a two-dimensional space and constraints on its energy and maximum speed. The pursuer distributes searching eort ? to detect the evader under constraints on the amount of eort. A payo ? i