On the optimality of network assisted power control for a general class of sigmoid functions

Controlling the distribution of resources is imperative in any wireless system. Much research has considered the efficiency of the allocation in terms of bits per Joule of radiated energy. In addition, game theoretical concepts have been used to propose algorithms that help systems reach an optimal operating point. This paper investigates in detail the formerly proposed network assisted power control and, unlike other work that has been done, proves that for a very general class of functions it is Pareto Optimal.