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Resource allocation problems in multi-user systems, modeled as Nash Bargaining (NB) cooperative games, are investigated under different constraints. Using the joint Time Division Multiplexing and Frequency Division Multiplexing (TDM/FDM) scheme as a manner of cooperation in the NB resource allocation game with only Spectrum Mask Constraints (SMCs), it is shown that the efficiency of the corresponding solution depends on both the interference-to-signal and interference-to-noise ratios of the users. Sufficient conditions under which the joint TDM/FDM based NB solution outperforms a non-cooperative Nash equilibrium solution are derived and shown to be mild. A semi-distributed algorithm is proposed for finding the NB solution of the corresponding game with SMCs only.
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