Power Control in Multiuser Mulicarrier Wireless Data Networks

TL;DR

This paper models power control in multiuser multicarrier wireless networks using game theory, demonstrating equilibrium conditions, existence, and proposing a greedy algorithm for users to reach a stable power allocation.

Contribution

It introduces a novel game-theoretic framework for power management in multicarrier wireless networks, including equilibrium analysis and an algorithm for practical implementation.

Findings

Users transmit over a single carrier at equilibrium

Necessary conditions on path gains for Nash equilibrium

Proposed greedy algorithm converges to Nash equilibrium

Abstract

A game-theoretic model is presented to study the management of transmission power in a wireless data network. We propose a power game for a multiuser multicarrier setting where all the users are assumed to transmit at equal rate. At equilibrium, each user is shown to transmit over a single carrier, as in [Mehskati et al., 2006]. We derive the necessary conditions on the path gains when the Nash equilibrium point exists. We further prove the existence of the Nash equilibrium point using the concept of locally gross direction preserving map. A greedy algorithm is proposed and its correctness is established, where each user acts selfishly to achieve the Nash equilibrium point.