A Transmit Power Efficient Non-Cooperative Game Design for Wireless Sensor Networks Based on the Utility and Cost Function

A non-cooperative power control game (NCPCG) is designed for efficient power consumption in the wireless sensor and ad hoc networks by introducing a novel cost function. The proposed cost function in a game theoretic framework facilitates the nodes in increasing power efficiency by making independent decisions in a distributed environment. The Nash equilibrium is achieved among the nodes converging to the optimal value of the utility function for the entire network, beyond which even further increase in the power level reduces the signal-to-noise (SNR) ratio.