Game theory Power control algorithm based on network connectivity

Abstract

Power control plays an important role in reducing interference and conflict between Wireless Body Area Networks (WBAN). The goal of power control is to send the collected data with as small and appropriate transmission power as possible, which largely depends on the network type or different application scenarios. In this paper, a utility function based on network connectivity is established based on the basic principle of non-cooperative game theory. The algorithm considers the cost function based on SINR and proves the existence and uniqueness of Nash equilibrium solution.The algorithm proves that the Nash equilibrium solution exists and is unique through the analysis of the utility function.