Optimal beamforming-based power control in wireless body area networks

We prove the existence and uniqueness of a Stack-elberg equilibrium when different selfish single antenna sensor nodes try to access a multiple antenna hub in the uplink of a wireless body area network (WBAN). The hub is the game leader, capable of punishing the deviating sensors by using its multiple antennas to block reception for a specified period of time. Sensor nodes are the followers, each seeking to choose a transmit power to independently maximize its utility, modeled as a weighted difference between its achievable goodput and the expense of transmission. At the same time, the hub seeks to force the nodes to communicate their packets at certain transmit powers that maximize the welfare of the WBAN. We demonstrate this setup enables the Stackelberg game to reach a unique subgame perfect equilibrium. The proposed game model is employed in an IEEE 802.15.6-based ultra wideband WBAN to numerically validate the merits of the framework.

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