A maneuvering reentry vehicle (evader) and missile interceptor (pursuer) engagement is modeled in two dimensions, with constant velocity vehicles subject to bounded accelerations. Parameterized guidance laws are constructed for both players and a continuous, but finite-dimensional game is formulated. The related Majorant and Minorant game formulations are analyzed. Several modifications are provided in order to smooth performance contours. A comparison of the Majorant and Minorant game formulation shows the game is not strictly determined and there is a significant advantage to knowing the opponent’s strategy. / Master of Science