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Maximizing the Target's Longevity in the Active Target Defense Differential Game

A pursuit-evasion differential game with simple motion where an additional player, a Defender, is tasked with intercepting the pursuer before the latter can capture the evader is addressed. We refer to an Active Target Defense Differential Game (ATDDG). A new target escape strategy is investigated. It is shown that the solution of the ATDDG Game of Kind is not affected and the capture and escape regions are not changed. We focus on the Attacker's region of win where the main results of the paper address the effectiveness of the Attacker using classical pure pursuit in the presence of the Defender.