Abstract: After the fourth party logistics(shorted for 4PL)enterprise gets the logistics tasks,he will choose the third party logistics(short for 3PL) enterprise to complete the logistics tasks.So the deal between the 4PL enterprise and the production enterprise will be affected by the deal between the 4PL enterprise and the 3PL enterprise.We obtain the price that the production enterprise pay for logistic tasks by using incomplete information two-sided bargain game,and analyze the affected factor.Compared the offer that 4PL enterprise makes under the knowledge of the deal between he and the 3PL enterprise with the offer that 4PL enterprise makes without the knowledge of the deal between he and the 3PL enterprise,we find the offer that 4PL enterprise makes in the former situation is higher than in the later situation,and analyze the reason why this phenomenon arises.

Key words: two-sided bargain, subgame-perfect Nash equilibrium, incomplete information, disco unting factor