Distributed Power Control for One-to-Many Transmissions in Gaussian Interference Channels
In this paper, the authors extend the distributed power control problem for one-to-one transmissions in Gaussian interference channels to one-to-many transmission scenarios. They assume a user-centric wireless network where the end users play the roles of decision makers. They formulate the power control problem as a non-cooperative game. New challenges arise due to the coupling issues among power strategy spaces of distributed end users, which make standard Nash equilibrium based non-cooperative game approach inapplicable. Indeed, their problem turns out to be a Generalized Nash Equilibrium Problem (GNEP). Resorting to variational inequality theory, they show several fundamental properties of the GNEP.