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arXiv · 1703.07647

Algorithms for Nash and Pareto Equilibria for Resource Allocation in Multiple Femtocells

V. Udaya Sankar·Vinod Sharma
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Abstract

We consider a cellular system with multiple Femtocells operating in a Macrocell. They are sharing a set of communication channels. Each Femtocell has multiple users requiring certain minimum rate guarantees. Each channel has a peak power constraint to limit interference to the Macro Base Station (BS). We formulate the problem of channel allocation and power control at the Femtocells as a noncooperative Game. We develop decentralized algorithms to obtain a Coarse Correlated equilibrium that satisfies the QoS of each user. If the QoS of all the users cannot be satisfied, then we obtain a fair equilibrium. Finally we also provide a decentralized algorithm to reach a Pareto and a Nash Bargaining solution which has a much lower complexity than the algorithm to compute the NE.

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V. Udaya Sankar, Vinod Sharma. 2017-03-22. Algorithms for Nash and Pareto Equilibria for Resource Allocation in Multiple Femtocells. https://arxiv.org/abs/1703.07647

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