The multi-stage influence diagram theory and the game theory are introduced to maneuvering decisions in the multi-fighter cooperative air combat. A multi-stage influence diagram game model for n-stages decision is presented, and the decision is sequential and maneuvering. Firstly, principles that the multi-fighter cooperative air combat is divided into the air combat of several small teams are determined, and considering the ideal of the cooperative air combat, the air combat of small team is divided into several one-one air combats again. Then, the multi-stage influence diagram game is introduced to maneuvering decisions in the uncertain environment for the first time. A sequential-maneuvering decision model is established, which describes elements of the decision process and takes into account three factors: decisions of both sides, the dynamics particle model and preferences of pilots. Also, the multi-stage influence diagram game is solved by a moving horizon control approach. Finally, the cooperative air combat of 2:2 is simulated, and the simulation results show the model is more effective.
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