Asymptotically optimal distributed channel allocation: A competitive game-theoretic approach

Ilai Bistritz, Amir Leshem

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

6 Scopus citations

Abstract

In this paper we consider the problem of distributed channel allocation in large networks under the frequency-selective interference channel. Performance is measured by the weighted sum of achievable rates. First we present a natural non-cooperative game theoretic formulation for this problem. It is shown that, when interference is sufficiently strong, this game has a pure price of anarchy approaching infinity with high probability, and there is an asymptotically increasing number of equilibria with the worst performance. Then we propose a novel non-cooperative M Frequency-Selective Interference Game (M-FSIG), where users limit their utility such that it is greater than zero only for their M best channels, and equal for them. We show that the M-FSIG exhibits, with high probability, an increasing number of optimal pure Nash equilibria and no bad equilibria. Consequently, the pure price of anarchy converges to one in probability in any interference regime. In order to exploit these results algorithmically we propose a modified Fictitious Play algorithm that can be implemented distributedly. We carry out simulations that show its fast convergence to the proven pure Nash equilibria.

Original languageAmerican English
Title of host publication2015 53rd Annual Allerton Conference on Communication, Control, and Computing, Allerton 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1272-1279
Number of pages8
ISBN (Electronic)9781509018239
DOIs
StatePublished - 4 Apr 2016
Externally publishedYes
Event53rd Annual Allerton Conference on Communication, Control, and Computing, Allerton 2015 - Monticello, United States
Duration: 29 Sep 20152 Oct 2015

Publication series

Name2015 53rd Annual Allerton Conference on Communication, Control, and Computing, Allerton 2015

Conference

Conference53rd Annual Allerton Conference on Communication, Control, and Computing, Allerton 2015
Country/TerritoryUnited States
CityMonticello
Period29/09/152/10/15

Bibliographical note

Publisher Copyright:
© 2015 IEEE.

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