The Two Cutters and Fugitive Ship game posed by Isaacs is revisited again. We discuss and analyze the singular configuration of this two-pursuer one-evader differential game. This paper addresses the question of whether or not either player has the ability to exploit the dispersal surface. Specifically, we investigate the case where the Evader effectively stands still (e.g., by dithering in a small neighborhood). We show that the canonical optimal pursuit policy yields chattering in the discrete-time version of the game. As the timestep approaches zero, the capture time approaches the Value of the game, and thus the Evader is not penalized for standing still. Implications on related scenarios are discussed.
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