Stackelberg differential game based power control in small cell networks powered by renewable energy

Abstract

In wireless networks, introducing small cells into the macro cell can increase the system capacity, but may bring interferences into the original wireless networks. In this paper, we design an approach on the power control problems in the small cell networks, to control the interferences through control the transmission power. The interferences between the macro base station (MBS) and the small cell base stations (SBSs) are constructed as a Stackelberg game, where the MBS and SBSs act as the leader and followers respectively. Meanwhile, the status of the MBS and SBSs are described through two differential equations, to show the dynamic characteristics of the energy. Then the optimal control strategies for both the leader and followers can be given based on the open-loop Stackelberg equilibriums to the differential game. Numerical simulations and results show the effectiveness and advantages of the proposed algorithms.