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

2017/03/22 by V. Udaya Sankar, Sankar, V. Udaya, Vinod Sharma +1
Computer Science · Engineering · #Advanced MIMO Systems Optimization #Advanced Wireless Network Optimization #Computer Science and Game Theory (cs.GT) #Cooperative Communication and Network Coding #FOS: Computer and information sciences #Networking and Internet Architecture (cs.NI)

paper · pdf · doi:10.48550/arxiv.1703.07647

openalex publication_date 2017/03/22 · openalex created_date 2017/04/14 · openalex updated_date 2026/07/28

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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