Non-cooperative power control game in a multi-source wireless sensor network

In this paper, a game theoretic scheme is proposed to study power control in a multi-source (transmitting to multiple clusters) wireless sensor network. A game where each sensor chooses it's transmit power independently to achieve a target signal to interference plus noise ratio (SINR) at the master sensor in the receiving cluster is analyzed. It is shown that the game has a Nash equilibrium and it is unique under certain constraints. Numerical results are provided to show the effectiveness of the proposed game considering distance-dependent attenuation with various path loss exponents.