A mean field stochastic game for battery state-dependent power management

Hamidou Tembine

Research output: Chapter in Book/Report/Conference proceedingConference contribution


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.

Original languageEnglish (US)
Title of host publicationProceedings of the 18th IFAC World Congress
PublisherIFAC Secretariat
Number of pages6
Edition1 PART 1
ISBN (Print)9783902661937
StatePublished - 2011

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number1 PART 1
ISSN (Print)1474-6670


  • Dynamic control and games
  • Large-scale systems
  • Mean field
  • Stochastic games

ASJC Scopus subject areas

  • Control and Systems Engineering


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