Cooperative schemes for energy efficient resource allocation usually require certain forms of communication (implicit or explicit) among the cooperating transmitters. These solutions are therefore impractical in the fast fading scenario where the channel gains change very quickly and there is no time for communication. Inspired by previous information theoretical results, in this paper we propose a heuristic resource allocation function which achieves cooperation without mutual communication among the transmitters. This function is a one shot decision function whose parameters are tuned offline for given channel statistics. It can be used online in a fast fading scenario as given the local channel state information (CSI), we can instantaneously find an energy efficient power allocation in a distributed manner. We compare the performance of the proposed function with other state of the art distributed power allocation schemes requiring communication. While some communicating schemes achieve better performances than the one proposed herein, it must be noted that they do so by using up timeslots for communication. By the virtue of not requiring communication, the proposed algorithm is superior for fast fading scenarios where communication might not be feasible as the coherence time of channels is only a few timeslots which will be used up for communication.