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A mean field stochastic game approach to power management

Abstract : We consider large population of interacting mobile devices with individual state dynamics. Each mobile device has its own battery. The battery state is a modeled as a Markov decision process. The mobile devices are coupled via their payoff functions. Each mobile chooses a dynamic power management strategy in order to have a satisfactory long-term payoff. We propose a mean field stochastic game formulation when the number of mobile devices is very large. We establish a connection between finite stochastic game modeling and the evolutionary game modelling at the infinite population. Sufficient conditions for stationary mean field equilibria are given.
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Submitted on : Tuesday, November 22, 2011 - 10:45:19 AM
Last modification on : Monday, December 14, 2020 - 12:38:04 PM




Hamidou Tembine. A mean field stochastic game approach to power management. 18th IFAC world congress , Aug 2011, Milano, Italy. pp.4839-4844, ⟨10.3182/20110828-6-IT-1002.01228⟩. ⟨hal-00643522⟩



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