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Cooperative and non-cooperative power control games in downlink cognitive radio network with primary user protection

In cognitive radio network, transmission power must be carefully controlled to maximize the channel usage. This paper investigates the relationship of transmission power among primary and secondary users under the game theory framework. Both cooperative and non-cooperative games are considered. Particularly, two variations of cooperative games are formulated, differed by the total utility functions. In all cases, QoS protection of the primary users is embedded in the utility functions. The results show the existence of Nash equilibrium in each case, as well as the trade-off among the total capacity, power consumption, and fairness.