Hybrid Game Theory and D-S Evidence Approach to Multiple UCAVs Cooperative Air Combat Decision

Mission decision-making is one of the most important techniques for cooperative combat of multiple unmanned combat aerial vehicles (UCAVs), while game theory is an efficient method in solving mission decision-making. In this paper, the game theory is applied to the air combat decision of multiple UCAVs. Then a weapon model for UCAVs’ air-to-air missiles is proposed to obtain the basic probability value of the D-S evidence theory. In order to obtain the Nash equilibrium point, the bimatrix problem is transferred into an optimization problem. In this way, the function "linprog" in MATLAB can be used to obtain the optimal solution, which can greatly simplify the steps of solving the bimatrix problem. Finally, the optimal strategy is obtained by optimizing calculation. Series of experimental results demonstrate the feasibility and effectiveness of the proposed approach in solving the multiple UCAVs cooperative air combat decision problem.