Correlated equilibria in wireless power control games

Sara Berri (1, 2) , Vineeth Varma (3) , Samson Lasaulce (2) , Mohammed Said Radjef (1)

1 Unité de recherche LaMOS = Research unit LaMOS - Unité de recherche Laboratoire de Modélisation et Optimisation des Systèmes [Université de Béjaïa]
2 L2S - Laboratoire des signaux et systèmes
3 CRAN - Centre de Recherche en Automatique de Nancy

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.

Domaines: Réseaux et télécommunications [cs.NI]

Sara Berri, Vineeth Varma, Samson Lasaulce, Mohammed Said Radjef. Correlated equilibria in wireless power control games. International conference on Network Games, Control and Optimization, NETGCOOP 2016, Nov 2016, Avignon, France. ⟨hal-01407878⟩