A game theoretic power control scheme for femtocells under macro-user QoS constraint

Femtocells are new devices that are recently developed to address the poor indoor coverage of the 3G cellular network and beyond. This solution may, however, cause significant interference in the system. In our paper, we propose a new approach based on game theory which aims at enhancing the femtocells´ capacity in a HSDPA network while mitigating the interference impact on the macro users´ quality of service. We propose a non-cooperative supermodular power control game in which we define a new utility function under total transmit power constraint, but also under macro user throughput constraint. We prove the existence of the Nash Equilibrium analytically and by means of simulations. Simulation results also showed that the macro users´ data rates can be improved by 15% as compared to the case of a common femtocells deployment.