NDLI: On the Nash Equilibria in Decentralized Parallel Interference Channels

Content Provider	IEEE Xplore Digital Library
Author	Rose, L. Perlaza, S.M. Debbah, M.
Copyright Year	2011
Abstract	In this paper, the 2-dimensional decentralized parallel interference channel (IC) with 2 transmitter-receiver pairs is modelled as a non-cooperative static game. Each transmitter is assumed to be a fully rational entity with complete information on the game, aiming to maximize its own individual spectral efficiency by tuning its own power allocation (PA) vector. Two scenarios are analysed. First, we consider that transmitters can split their transmit power between both dimensions (PA game). Second, we consider that each transmitter is limited to use only one dimension (channel selection CS game). In the first scenario, the game might have either one or three NE in pure strategies (PS). However, two or infinitely many NE in PS might also be observed with zero probability. In the second scenario, there always exists either one or two NE in PS. Using Monte-Carlo simulations, we show that in both games there always exists a non-zero probability of observing more than one NE. More interestingly, we show that the highest and lowest network spectral efficiency at any of the NE in the CS game are always higher than the ones in the PA.
Starting Page	1
Ending Page	6
File Size	180941
Page Count	6
File Format	PDF
ISBN	9781612849546
e-ISBN	9781612849553
e-ISBN	9781612849539
DOI	10.1109/iccw.2011.5963531
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-06-05
Publisher Place	Japan
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Transmitters Games Receivers Interference channels Resource management Signal to noise ratio
Content Type	Text
Resource Type	Article

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