Driven by the increase of data traffic, a heterogeneous ultra-dense network (H-UDN) constitute one of the most promising techniques to support the 5G mobile system. Ultra-dense network (UDN) refers to the idea of densifying the cellular networks to reduce the distance between the access nodes and the user equipment (UE) to achieve the highest possible transmission rates and to enhance the quality of service (QoS). Despite these advantages, (H-UDN) introduces numerous challenges in terms of resource allocation. In this paper, we develop a joint power allocation and user association strategy in H-UDN using non-cooperative game theory. The proposed game is divided into two sub-games, the Backhaul Game is implemented between BS and RNs in the backhaul links and the Access Game is implemented between the BS/RNs and UEs in the access links. The leaders estimate the strategies of their followers to decide on their strategies. Therefore, our solution starts first by solving the users association in the access links to derive the optimal power strategies of the followers and then choosing their optimal power allocation strategies. Subsequently, the followers do the best response to the leaders' strategies. The simulation results show that our proposed algorithm can achieve the optimal power allocation and improve the performances of the system in term of throughput and UE rate compared to existing methods. INDEX TERMS Heterogeneous ultra-dense network, non cooperative game theory, power allocation, QoS, relay, user association.
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