Non-atomic Games for Multi-User Systems

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Non-atomic Games for Multi-User Systems
Abstract—In this contribution, the performance of a multiuser system is analyzed in the context of frequency selective fading channels. Using game theoretic tools, a useful framework is provided in order to determine the optimal power allocation when users know only their own channel (while perfect channel state information is assumed at the base station). This scenario illustrates the case of decentralized schemes, where limited information on the network is available at the terminal. Various receivers are considered, namely the matched filter, the MMSE filter and the optimum filter. The goal of this paper is to extend previous work, and to derive simple expressions for the non-cooperative Nash equilibrium as the number of mobiles becomes large and the spreading length increases. To that end two asymptotic methodologies are combined. The first is asymptotic random matrix theory which allows us to obtain explicit expressions of the impact of all other mobiles on any given tagged ...
Nicolas Bonneau, Mérouane Debbah, Eitan Alt
Added 25 Dec 2010
Updated 25 Dec 2010
Type Journal
Year 2007
Where CORR
Authors Nicolas Bonneau, Mérouane Debbah, Eitan Altman, Are Hjørungnes
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