2012 · 10 citations · 7 references
Social SciencesCommunicationElectrical EngineeringComputer NetworksGame TheoryWireless CommunicationsCommunication NetworksCooperative CommunicationMobile CommunicationMobile NetworksNash EquilibriumNetwork GamesEnergy Cost OptimizationEnergy Efficiency In Mobile NetworksEnergy-efficient CommunicationEnergy-efficient Data TransmissionEnergy-efficient NetworkingGreen Mobile NetworkingPower AllocationTransmit Power Control
In this paper, we consider the scenario of a cellular network where base stations aim to transmit several data packets to a set of users in the downlink, within a predefined time, at minimal energy cost. The base stations are non-cooperating and the instantaneous transmission rate depends on the instantaneous SINR at the receiver. The purpose of this article is to highlight a power-efficient transmit policy. By assuming a large number of homogeneous users, we model the problem as a mean field game, with tractable equations, that allow us to bypass the complexity of analyzing a Nash equilibrium in a L-body dynamic game. The framework we propose yields a consistent analysis of the optimal transmit power strategy, that allows every base station to, selfishly but rationally, satisfy its transmission, at a minimal energy cost.
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Kiyosi Itô · Journal of the Mathematical Society of Japan · 1951 · 716 citations · Full text
Jacques Palicot · 2009 · 80 citations
A mean field game analysis of electric vehicles in the smart grid
Romain Couillet, Samir M. Perlaza, Hamidou Tembiné et al. · 2012 · 47 citations