Date Added: Feb 2011
The authors consider the decentralized power allocation and spectrum sharing problem in multi-user, multichannel systems with strategic users. They resent a mechanism/game form that has the following desirable features. It is individually rational. It is budget balanced at every Nash equilibrium of the game induced by the game form as well as off equilibrium. The allocation corresponding to every Nash Equilibrium (NE) of the game induced by the mechanism is a Lindahl allocation, that is, a weakly Pareto optimal allocation. The proposed game form/mechanism achieves all the above desirable properties without any assumption about, concavity, differentiability, monotonicity, or quasi-linearity of the users' utility functions.