This paper introduces the asymmetric Quantal Response Equilibria (QRE) network game model to explain the influencing factors on the cooperative behavior of "The Belt and Road" countries. The findings suggest that the belief in the sensitivity to own payoff and counterparts, the reward for cooperation by neighbor nodes, the trade facilitation index, and the reduction rate of tariffs were incorporated to have a significant impact on the Belt and Road cooperation. Our findings provide important policy references to the belt and road countries.