We present and discuss a proprietary methodology which approximates the solution to differential games. The methodology computes "capture regions" (i.e., the space in which one or the other player can capture or kill the other with some probability), computes the probability of capture or kill within the capture region, and computes and displays optimal trajectories for both players. Unlike traditional approaches to differential game theory, the methodology does not require an a priori specification of pursuer and evader. Both sides have the option to pursue or evade depending upon the payoff function, the relative capabilities of the players, and the current position and velocity vectors.