On the asymptotic behavior of selfish transmitters sharing a common channel

Hazer Inaltekin, Mung Chiang, H. Vincent Poor, Stephen B. Wicker

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

Abstract

This paper analyzes the asymptotic behavior of a multiple-access network comprising a large number of selfish transmitters competing for access to a common wireless communication channel, and having different utility functions for determining their strategies. A necessary and sufficient condition is given for the total number of packet arrivals from selfish transmitters to converge in distribution. The asymptotic packet arrival distribution at Nash equilibrium is shown to be a mixture of a Poisson distribution and finitely many Bernoulli distributions.

Original languageEnglish (US)
Title of host publicationProceedings - 2008 IEEE International Symposium on Information Theory, ISIT 2008
Pages2026-2030
Number of pages5
DOIs
StatePublished - Sep 29 2008
Event2008 IEEE International Symposium on Information Theory, ISIT 2008 - Toronto, ON, Canada
Duration: Jul 6 2008Jul 11 2008

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
ISSN (Print)2157-8101

Other

Other2008 IEEE International Symposium on Information Theory, ISIT 2008
CountryCanada
CityToronto, ON
Period7/6/087/11/08

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Information Systems
  • Modeling and Simulation
  • Applied Mathematics

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  • Cite this

    Inaltekin, H., Chiang, M., Poor, H. V., & Wicker, S. B. (2008). On the asymptotic behavior of selfish transmitters sharing a common channel. In Proceedings - 2008 IEEE International Symposium on Information Theory, ISIT 2008 (pp. 2026-2030). [4595345] (IEEE International Symposium on Information Theory - Proceedings). https://doi.org/10.1109/ISIT.2008.4595345