In this paper, we study the fairness problem for downlink traffic in multi-hop wireless backhaul networks with selfish nodes, including Transit Access Points (TAPs) and the gateway. Unlike the transmission of uplink traffic in which transit packets are dropped at intermediate TAPs, almost all downlink link traffic is dropped at the gateway. Therefore, we design an incentive-based mechanism where the optimal strategies of selfish TAPs and the gateway are the corresponding actions to enforce the fairness model in the wireless backhaul networks. We also prove that our mechanism is correct and truthful (i.e., selfish TAPs and gateway have no incentive to cheat).
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