Energy efficient communication using cooperative beamforming: A game theoretic analysis

In this paper, a game-theoretic model for studying power control in large data networks using cooperative beamforming is analyzed. Cooperating nodes form clusters to retransmit local signals to faraway destinations. Within each cluster, nodes multiply the received analog waveform by a complex weight chosen in a distributed fashion to maximize the received SNR. This work analyzes the scenario in which multiple such clusters are transmitting at the same frequency at the same time. A game where each cluster chooses its average transmit power to optimize the total number of bits it transmits per unit of transmit energy is proposed and the resulting unique Nash equilibrium is described.