A New Multiobjective Game for the Design of Wireless Transceivers with Local Coordination Ability

Abstract

Assume that making coordinated decisions is a viable strategy to achieve Pareto optimality in a wireless network composed of transmitter receiver pairs (TRPs) targeting the maximisation of their own energy efficiency. At what price this coordination can be established? How to define a solution concept whenever only local coordination is suitable or possible? How to implement coordination without the need of any centralised node? The aim of this paper is to shed a light on these open issues. To achieve this, we model the energy efficiency maximisation problem as a game with vector payoff. This formulation will provide the mathematical tools to study how local coordination impacts on the users' performance in the presence of severe multiuser interference. Further, we develop a successive convex approximation (SCA) technique that solves the original game through a set of convexified multiobjective equilibrium problems. Eventually, we propose a distributed implementation of the SCA technique for power control in a Gaussian interference channel and we validate it by means of numerical results.