A stochastic game-theoretic approach for analysis of multiple cooperative air combat

Abstract

This paper presents a game theory-based methodology to analyze multiple beyond-visual-range (BVR) air combat scenarios. The combat scenarios are formalized as a stochastic game consisting of a sequence of normal-form games with a continuous sub-game. The proposed game formulation improves the scalability by reducing the decision space while taking advantage of some underlying symmetry structures of the combat scenario. The equilibrium strategy and the value functions of the game are computed through some dynamic programming procedure; the impact of the aircraft's velocity and the cooperation scheme for the combat is analyzed based on the equilibrium strategies.