# Distributed Uplink Power Control in an Ultra-Dense Millimeter Wave Network: A Mean-field Game Approach

## TL;DR

This paper introduces a mean-field game framework for uplink power control in ultra-dense millimeter wave networks, optimizing energy efficiency by considering user orientation and battery levels, with significant simulation gains.

## Contribution

It presents a novel mean-field game approach that accounts for dynamic user orientations and battery states in uplink power control for dense millimeter wave networks.

## Key findings

- Achieves up to 24% energy efficiency improvement.
- Analytically derives energy efficiency expression for finite networks.
- Validates approach with simulation results.

## Abstract

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.