A generalized Nash game for energy efficiency optimization: A quasi variational inequality approach

This paper presents the Nash equilibrium problem for a multipoint-to-multipoint network whose nodes aim at maximizing their energy efficiency. The original game is reformulated as a max-rate generalized Nash equilibrium problem with coupling among the strategy sets of the players, thus revealing the relationship between the spectral efficiency-and the energy efficiency-based equilibrium points in such a competitive scenario. This general game is then modeled resorting to the quasi-variational inequality framework. This provides us with all the mathematical tools necessary to analyze the features of the equilibrium points and devise novel distributed algorithms.