A Distributed Resource Control for Fairness in OFDMA Systems: English-Auction Game with Imperfect Information

In this paper, we study a distributed resource control problem achieving fairness and information theoretic capacity in an OFDMA system. For practicality, we consider an OFDMA system with incomplete information. The information theoretic MAC capacity region is known to be achieved by successive decoding schemes. Therefore, the problem can be formulated as a stackelberg optimization problem. As a solution of the problem, we provide a distributed game-theoretic resource allocation scheme based on iterative multi-unit second price auction. We prove the algorithm´s convergence, stability and optimality through analytic model and simulations.