Multi-hop cellular network (MCN) can preserve the advantages of traditional single-hop cellular networks and ad hoc relaying networks. In multi-hop network, efficient bandwidth management plays an important role in determining network performance. In this paper, a new bandwidth management scheme is proposed for MCNs. By integrating the Nash and Kalai---Smorodinsky bargaining models, the proposed scheme adaptively controls the wireless bandwidth to maximize network efficiency. In the proposed Nash and Kalai---Smorodinsky bargaining models, bargaining powers are decided according to the real-time negotiation process. It is a powerful method for resolving conflicts and enables the system to fairly and effectively control the bandwidth management problem. With a simulation study, it is demonstrated that the proposed scheme approximates an optimized solution under widely diverse traffic load intensities.