  This work aims at developing a power control framework to jointly optimize
energy efficiency (measured in bit/Joule) and delay in wireless networks. A
multi-objective approach is taken to deal with both performance metrics, while
ensuring a minimum quality-of-service to each user in the network. Each user in
the network is modeled as a rational agent that engages in a generalized
non-cooperative game. Feasibility conditions are derived for the existence of
each player's best response, and used to show that if these conditions are met,
the game best response dynamics will converge to a unique Nash equilibrium.
Based on these results, a convergent power control algorithm is derived, which
can be implemented in a fully decentralized fashion. Next, a centralized power
control algorithm is proposed, which also serves as a benchmark for the
proposed decentralized solution. Due to the non-convexity of the centralized
problem, the tool of maximum block improvement is used, to trade-off complexity
with optimality.
