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In this paper, we present a distributed resource allocation algorithm for multi-cell OFDMA systems by adopting a game theoretic approach. We first define a utility function that can represent the system performance while taking into account the co-channel interference among cells. Then we model resource allocation problem as a noncooperative game. Based on the game, we devise a iterative algorithm called DRA that requires no coordination among the base stations. We prove that there exists a Nash equilibrium for the game and the equilibrium is unique in some constrained environment. The proposed DRA algorithm turns out to converge to the equilibrium within a small number of iterations.