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Title: Robust rate maximization game under bounded channel uncertainty
Authors: Anandkumar, Amod J.G.
Anandkumar, Animashree
Lambotharan, Sangarapillai
Chambers, Jonathon
Keywords: Game theory
Nash equilibrium
Rate maximization
Robust games
Waterfilling
CSI uncertainty
Issue Date: 2011
Publisher: © IEEE
Citation: ANANDKUMAR, A.J.G., 2011. Robust rate maximization game under bounded channel uncertainty. IEEE Transactions on Vehicular Technology, 60 (9), pp. 4471 - 4486
Abstract: We consider the problem of decentralized power allocation for competitive rate maximization in a frequency-selective Gaussian interference channel under bounded channel uncertainty. We formulate a distribution-free robust framework for the rate maximization game. We present the robust optimization equilibrium for this game and derive sufficient conditions for its existence and uniqueness. We show that an iterative waterfilling algorithm converges to this equilibrium under certain sufficient conditions. We analyze the social properties of the equilibrium under varying channel uncertainty bounds for the two-user case. We also observe an interesting phenomenon that the equilibrium moves toward a frequency-division multiple-access solution for any set of channel coefficients under increasing channel uncertainty bounds. We further prove that increasing channel uncertainty can lead to a more efficient equilibrium and, hence, a better sum rate in certain two-user communication systems. Finally, we confirm, through simulations, that this improvement in equilibrium efficiency is also observed in systems with a higher number of users.
Description: (c) 2011 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.
Version: Accepted for publication
DOI: 10.1109/TVT.2011.2171011
URI: https://dspace.lboro.ac.uk/2134/9576
Publisher Link: http://dx.doi.org/10.1109/TVT.2011.2171011
ISSN: 0018-9545
Appears in Collections:Published Articles (Electronic, Electrical and Systems Engineering)

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