Secure signaling games for Gaussian multiple access wiretap channels

Hao Ge; Ruijie Xu; Randall A. Berry

doi:10.1109/ISIT.2015.7282427

Secure signaling games for Gaussian multiple access wiretap channels

Hao Ge, Ruijie Xu, Randall A. Berry

Electrical and Computer Engineering

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

10 Scopus citations

Abstract

A Gaussian multiple access wire-tap channel with confidential messages is studied, where multiple users attempt to transmit private messages to a legitimate receiver in the presence of an eavesdropper. While prior work focused on the case where the users were cooperative, we assume that each user is selfish and and so are modeled as playing a non-cooperative game. We assume all users send a superposition of two Gaussian codebooks: one for their confidential messages and one for 'filling' the evesdropper's channel. For such a scheme, we give a characterization of the achievable rate region defined by Tekin and Yener using polymatroid properties. We then use this to find the Nash equilibrium region for this non-cooperative game. Furthermore, we give algorithms for finding the best and worst Nash equilibria for a given channel.

Original language	English (US)
Title of host publication	Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	111-115
Number of pages	5
ISBN (Electronic)	9781467377041
DOIs	https://doi.org/10.1109/ISIT.2015.7282427
State	Published - Sep 28 2015
Event	IEEE International Symposium on Information Theory, ISIT 2015 - Hong Kong, Hong Kong Duration: Jun 14 2015 → Jun 19 2015

Publication series

Name	IEEE International Symposium on Information Theory - Proceedings
Volume	2015-June
ISSN (Print)	2157-8095

Other

Other	IEEE International Symposium on Information Theory, ISIT 2015
Country/Territory	Hong Kong
City	Hong Kong
Period	6/14/15 → 6/19/15

Funding

This work was supported in part by the National Science Foundation grant TWC-1314620

ASJC Scopus subject areas

Theoretical Computer Science
Information Systems
Modeling and Simulation
Applied Mathematics

Access to Document

10.1109/ISIT.2015.7282427

Cite this

Ge, H., Xu, R., & Berry, R. A. (2015). Secure signaling games for Gaussian multiple access wiretap channels. In Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015 (pp. 111-115). Article 7282427 (IEEE International Symposium on Information Theory - Proceedings; Vol. 2015-June). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISIT.2015.7282427

@inproceedings{86196c77f18a4d56be2df43f445a6337,

title = "Secure signaling games for Gaussian multiple access wiretap channels",

abstract = "A Gaussian multiple access wire-tap channel with confidential messages is studied, where multiple users attempt to transmit private messages to a legitimate receiver in the presence of an eavesdropper. While prior work focused on the case where the users were cooperative, we assume that each user is selfish and and so are modeled as playing a non-cooperative game. We assume all users send a superposition of two Gaussian codebooks: one for their confidential messages and one for 'filling' the evesdropper's channel. For such a scheme, we give a characterization of the achievable rate region defined by Tekin and Yener using polymatroid properties. We then use this to find the Nash equilibrium region for this non-cooperative game. Furthermore, we give algorithms for finding the best and worst Nash equilibria for a given channel.",

author = "Hao Ge and Ruijie Xu and Berry, {Randall A.}",

note = "Funding Information: This work was supported in part by the National Science Foundation grant TWC-1314620 Publisher Copyright: {\textcopyright} 2015 IEEE.; IEEE International Symposium on Information Theory, ISIT 2015 ; Conference date: 14-06-2015 Through 19-06-2015",

year = "2015",

month = sep,

day = "28",

doi = "10.1109/ISIT.2015.7282427",

language = "English (US)",

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

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "111--115",

booktitle = "Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015",

address = "United States",

}

Ge, H, Xu, R & Berry, RA 2015, Secure signaling games for Gaussian multiple access wiretap channels. in Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015., 7282427, IEEE International Symposium on Information Theory - Proceedings, vol. 2015-June, Institute of Electrical and Electronics Engineers Inc., pp. 111-115, IEEE International Symposium on Information Theory, ISIT 2015, Hong Kong, Hong Kong, 6/14/15. https://doi.org/10.1109/ISIT.2015.7282427

Secure signaling games for Gaussian multiple access wiretap channels. / Ge, Hao; Xu, Ruijie; Berry, Randall A.
Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015. Institute of Electrical and Electronics Engineers Inc., 2015. p. 111-115 7282427 (IEEE International Symposium on Information Theory - Proceedings; Vol. 2015-June).

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

TY - GEN

T1 - Secure signaling games for Gaussian multiple access wiretap channels

AU - Ge, Hao

AU - Xu, Ruijie

AU - Berry, Randall A.

PY - 2015/9/28

Y1 - 2015/9/28

N2 - A Gaussian multiple access wire-tap channel with confidential messages is studied, where multiple users attempt to transmit private messages to a legitimate receiver in the presence of an eavesdropper. While prior work focused on the case where the users were cooperative, we assume that each user is selfish and and so are modeled as playing a non-cooperative game. We assume all users send a superposition of two Gaussian codebooks: one for their confidential messages and one for 'filling' the evesdropper's channel. For such a scheme, we give a characterization of the achievable rate region defined by Tekin and Yener using polymatroid properties. We then use this to find the Nash equilibrium region for this non-cooperative game. Furthermore, we give algorithms for finding the best and worst Nash equilibria for a given channel.

AB - A Gaussian multiple access wire-tap channel with confidential messages is studied, where multiple users attempt to transmit private messages to a legitimate receiver in the presence of an eavesdropper. While prior work focused on the case where the users were cooperative, we assume that each user is selfish and and so are modeled as playing a non-cooperative game. We assume all users send a superposition of two Gaussian codebooks: one for their confidential messages and one for 'filling' the evesdropper's channel. For such a scheme, we give a characterization of the achievable rate region defined by Tekin and Yener using polymatroid properties. We then use this to find the Nash equilibrium region for this non-cooperative game. Furthermore, we give algorithms for finding the best and worst Nash equilibria for a given channel.

UR - http://www.scopus.com/inward/record.url?scp=84969760821&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84969760821&partnerID=8YFLogxK

U2 - 10.1109/ISIT.2015.7282427

DO - 10.1109/ISIT.2015.7282427

M3 - Conference contribution

AN - SCOPUS:84969760821

T3 - IEEE International Symposium on Information Theory - Proceedings

SP - 111

EP - 115

BT - Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - IEEE International Symposium on Information Theory, ISIT 2015

Y2 - 14 June 2015 through 19 June 2015

ER -

Secure signaling games for Gaussian multiple access wiretap channels

Abstract

Publication series

Other

Funding

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this