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This paper investigates price-based resource allocation strategies for two-tier femtocell networks, in which a central macrocell is under-laid with distributed femtocells, all operating over the same frequency band. Assuming that the Macrocell Base Station (MBS) protects itself by pricing the interference from femtocell users, a Stackelberg game is formulated to study the joint utility maximization of the macrocell and femtocells subject to a maximum tolerable interference power constraint at the MBS. Two practical femtocell network models are investigated: sparsely deployed scenario for rural areas and densely deployed scenario for urban areas.
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