This paper describes the mainly methods of air combat decision studying and its fruits of the domestic and overseas scholars,it also introduces the application of Game Theory in air combat,such as how to build the model based on the Game Theory,the analysis about the expected payoff function of the mixed strategies,and the like.

The risk and expected payoff of players were analyzed with fuzzy comprehensive evaluation.

It is assumed that genotypic fitness is an exponential function of the expected payoff in the matrix game, and that each individual of the population can reproduce by selfing with constant probability β.

In this paper, the concept of the group search evade antagonistic games is discussed,the definition of the strategies and the optimal strategies about two players is made clear, the payoff function and the value about the game is given, and the existence of the optimal strategies and the game value are discussed.

This paper has studied the impacts of variable types of payoff function on the model,and finds that the emergent behavior will not change if only the payoff function rewards the winner(the minority)and punishes the lost(the majority),without respect to the detailed type of payo.

With the concept of pricing factor,a novel cost function based Signal-to-Interference and Noise Ratio(SINR) is as well as a new payoff function designed.

The DBRD makes decision according to the real-time information,and the decision parameters are determined and optimized by using response surface method and desirability function approach.