To improve operation efficiency of logistics,the supply chain consisting of a military materials purchase center and n warship troops was studied.According to the game theory,a military benefit led dynamic model was established under double disturbances of demand scale and purchase cost due to drastic circumstances changing on battlefield.Based on analysing and solving the model,the superior demand and the optimal setting of price,that the front line decision makers should take,as well as the corresponding overall maximum benefit were obtained.Finally,the game results of numerical analysis show that the results are consistent with the theoretical ones and the method is feasible.