Correlated Equilibria in Wireless Power Control Games

TL;DR

This paper explores the use of correlated and communication equilibria in wireless power control games to improve efficiency over traditional Nash equilibria, providing algorithms and simulation results.

Contribution

It introduces correlated and communication equilibria concepts to wireless power control, offering algorithms to achieve these equilibria and demonstrating their benefits.

Findings

Correlation improves payoffs in some settings

Algorithms successfully achieve correlated equilibria

Simulation confirms efficiency gains

Abstract

In this paper, we consider the problem of wireless power control in an interference channel where transmitters aim to maximize their own benefit. When the individual payoff or utility function is derived from the transmission efficiency and the spent power, previous works typically study the Nash equilibrium of the resulting power control game. We propose to introduce concepts of correlated and communication equilibria from game theory to find efficient solutions (compared to the Nash equilibrium) for this problem. Communication and correlated equilibria are analyzed for the power control game, and we provide algorithms that can achieve these equilibria. Simulation results demonstrate that the correlation is beneficial under some settings, and the players achieve better payoffs.