On the asymptotic behavior of selfish transmitters sharing a common channel

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

doi:10.1109/ISIT.2008.4595345

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 proceeding › Conference 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 language	English (US)
Title of host publication	Proceedings - 2008 IEEE International Symposium on Information Theory, ISIT 2008
Pages	2026-2030
Number of pages	5
DOIs	https://doi.org/10.1109/ISIT.2008.4595345
State	Published - 2008
Event	2008 IEEE International Symposium on Information Theory, ISIT 2008 - Toronto, ON, Canada Duration: Jul 6 2008 → Jul 11 2008

Publication series

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

Other

Other	2008 IEEE International Symposium on Information Theory, ISIT 2008
Country/Territory	Canada
City	Toronto, ON
Period	7/6/08 → 7/11/08

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Information Systems
Modeling and Simulation
Applied Mathematics

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10.1109/ISIT.2008.4595345

Cite this

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title = "On the asymptotic behavior of selfish transmitters sharing a common channel",

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.",

author = "Hazer Inaltekin and Mung Chiang and Poor, {H. Vincent} and Wicker, {Stephen B.}",

year = "2008",

doi = "10.1109/ISIT.2008.4595345",

language = "English (US)",

isbn = "9781424422579",

series = "IEEE International Symposium on Information Theory - Proceedings",

pages = "2026--2030",

booktitle = "Proceedings - 2008 IEEE International Symposium on Information Theory, ISIT 2008",

note = "2008 IEEE International Symposium on Information Theory, ISIT 2008 ; Conference date: 06-07-2008 Through 11-07-2008",

}

Inaltekin, H, Chiang, M, Poor, HV & Wicker, SB 2008, On the asymptotic behavior of selfish transmitters sharing a common channel. in Proceedings - 2008 IEEE International Symposium on Information Theory, ISIT 2008., 4595345, IEEE International Symposium on Information Theory - Proceedings, pp. 2026-2030, 2008 IEEE International Symposium on Information Theory, ISIT 2008, Toronto, ON, Canada, 7/6/08. https://doi.org/10.1109/ISIT.2008.4595345

On the asymptotic behavior of selfish transmitters sharing a common channel. / Inaltekin, Hazer; Chiang, Mung; Poor, H. Vincent et al.
Proceedings - 2008 IEEE International Symposium on Information Theory, ISIT 2008. 2008. p. 2026-2030 4595345 (IEEE International Symposium on Information Theory - Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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N2 - 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.

AB - 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.

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ER -

On the asymptotic behavior of selfish transmitters sharing a common channel

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