Collaborative transmission is an efficient solution to high-speed wireless communication and the question of rate allocation arises as how to divide the traffic flow among networks.As the players in collaborative transmission

heterogeneous networks would like choose collectively an outcome in the negotiating method to benefit all the individuals

which is a progress of bargaining.Then the static rate allocation over networks is formulated as a weighted bargaining game framework

where the heterogeneity of the transmission capabilities of different networks is taken into account.With the minimized transmission time as the optimal objective

the utility function is proved to be convex and the closed Nash bargaining solution is derived with the Lagrange multipliers method.Moreover

an algorithm is presented to realize rate allocation in the multi-mode device.Simulation results demonstrate that the proposed method is more efficient with the least transmission time and suitable for the emergency communication scenario.