  A game-theoretic model is presented to study the management of transmission
power in a wireless data network. We propose a power game for a multiuser
multicarrier setting where all the users are assumed to transmit at equal rate.
At equilibrium, each user is shown to transmit over a single carrier, as in
[Mehskati et al., 2006]. We derive the necessary conditions on the path gains
when the Nash equilibrium point exists. We further prove the existence of the
Nash equilibrium point using the concept of locally gross direction preserving
map. A greedy algorithm is proposed and its correctness is established, where
each user acts selfishly to achieve the Nash equilibrium point.
