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We consider a system of multi-homed mobile terminals with the ability to associate each of its running application flows to a specific network cell via terminal's network radio inter faces. These terminals compete for common network resources in order to optimise its proper utility value. We describe the system as a potential evolutionary game and we show that by imposing an appropriate cost upon mobile users, the operators may guarantee that the system converges to efficient Nash equilibria which optimize the total utility of the system. Furthermore, we focus in discussing simulation results that validate the theoretical results.