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Cognitive Radios have been proposed as a novel technology to improve the spectrum utilization in wireless transmissions. In self-organized network such ad-hoc cognitive radio networks (AHCRNs), the resource allocation (e.g., power, and channel) rise up several challenges due to rapid utilization of the available spectrum. In this paper, we consider noncooperative game theory to solve the power allocation problem in an underlay ad-hoc cognitive radio networks (AHCRNs) via interference compensations in order to provide good quality of service to CR nodes, on one hand, and to protect the transmission of PUs, on the other hand. Moreover, numerical simulations are presented to shows the existence and uniqueness of the NE for power control algorithm.