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A major challenge in the operation of wireless communication system is the efficient use of radio resources. In this paper, we propose downlink resource allocation problem in heterogeneous wireless networks (HetNet) where base stations have limited number of available channels or resource blocks (RBs) to allocate to their associated users. Moreover, we develop an advanced auction framework to address the proposed problem. Upon receiving online spectrum requests from mobile users, base stations decide how many resource blocks will allocate to each mobile user. Simulation results show that our method can increase over all network capacity and our problem converge to the unique Nash Equilibrium.