  In this paper, a novel mean-field game framework is proposed for uplink power
control in an ultra-dense millimeter wave network. The proposed mean-field game
considers the time evolution of the mobile users' orientations as well as the
energy available in their batteries, under adaptive user association. The
objective of each mobile user is then to find the optimal transmission power
that maximizes its energy efficiency. The expression of the energy efficiency
is analytically derived for the realistic case of a finite size network.
Simulation results show that the proposed approach yields gains of up to 24%,
in terms of energy efficiency, compared to a baseline in which the nodes
transmit according to the path loss compensating power control policy.
