Wake homing torpedo confronts with warship based on game theory

The process of wake homing torpedo attacking the target warship is a typical antagonized chase & evade problem. We have developed a two person zero sum game model to describe this problem and used LINGO to find out the optimal strategies for each players based on linear programming. We divide the strategies of the WHT as well as the target into several typical situation and construct the reward matrix of the game. The results show that there is no saddle point in common situation. Both sides of the game can receive the optimal results if the optimal mixed strategies are followed. Compared with traditional torpedo attacking method, this paper has revealed more possibilities for the submarine torpedo attacking results under sophisticated sea battle environment.