Abstract: In this study, the problem of multi pursuit-evasion game strategy optimal and optional was studied and analyzed. In the multi pursuit-evasion games includes two self-interest pursuers and single evader and the speed of pursuer is equal to the speed of evader. By extended classic game model to the quantum game model, the self-interest of individual no longer leads to the disintegration and obtain the optimal cooperative relations. This would solve the problem that self-interested individual tend to benefit from cooperation at the lowest cost and leading to the cooperation's disintegration and cannot get stable optimal cooperative relations. On the other hand, the problem of individual strategy’s cooperation was solved in the quantum game model. Under quantum game model, the plight of the classic hunt for decision-making was finally solved through theoretical analysis and simulation experiments, the evolution and results of the quantum game also discussed. It shows the advantages and effectiveness of the quantum game model in dealing with such issue. This also broadened the applications of the quantum game, provides a new way of thinking and research methods for multi-robot problem.