Algorithms for Nash and Pareto Equilibria for Resource Allocation in Multiple Femtocells
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.
Keywords
Cite
@article{arxiv.1703.07647,
title = {Algorithms for Nash and Pareto Equilibria for Resource Allocation in Multiple Femtocells},
author = {V. Udaya Sankar and Vinod Sharma},
journal= {arXiv preprint arXiv:1703.07647},
year = {2017}
}
Comments
16 pages, 15 figures