Mean field games for cognitive radio networks

H. Tembine, R. Tempone, P. Vilanova

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper we study mobility effect and power saving in cognitive radio networks using mean field games. We consider two types of users: primary and secondary users. When active, each secondary transmitter-receiver uses carrier sensing and is subject to long-term energy constraint. We formulate the interaction between primary user and large number of secondary users as an hierarchical mean field game. In contrast to the classical large-scale approaches based on stochastic geometry, percolation theory and large random matrices, the proposed mean field framework allows one to describe the evolution of the density distribution and the associated performance metrics using coupled partial differential equations. We provide explicit formulas and algorithmic power management for both primary and secondary users. A complete characterization of the optimal distribution of energy and probability of success is given.

Original languageEnglish (US)
Title of host publication2012 American Control Conference, ACC 2012
Pages6388-6393
Number of pages6
StatePublished - Nov 26 2012
Event2012 American Control Conference, ACC 2012 - Montreal, QC, Canada
Duration: Jun 27 2012Jun 29 2012

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

Other

Other2012 American Control Conference, ACC 2012
CountryCanada
CityMontreal, QC
Period6/27/126/29/12

    Fingerprint

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Tembine, H., Tempone, R., & Vilanova, P. (2012). Mean field games for cognitive radio networks. In 2012 American Control Conference, ACC 2012 (pp. 6388-6393). [6314643] (Proceedings of the American Control Conference).