Game theory has been increasingly used to model and analyze wireless communication networks. Cognitive radio is a promising technology to cope up with bandwidth demand of multimedia users. Cognitive Radio improves bandwidth utilization by Dynamic Spectrum Access. This paper models cognitive radio using non-cooperative game theory. As cognitive radio opportunistically accesses the primary users’ resources, it can be modeled as a game between primary users and secondary users as well. Utility function for power allocation for secondary users is proposed and improvement in number of active secondary users is depicted. Performance is compared with the super-modular game. Proposed non-cooperative game model outperforms super-modular game in increasing the capacity of cognitive network and BER performance. It is observed that at Bit Energy to Noise ratio of 15 dB, BER of proposed non-cooperative game model is 10-4 as compared to 10-3 that is achieved for super-modular game.