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20 - Electric Vehicles and Mean-Field

from Part VI - Game Theory

Published online by Cambridge University Press:  22 March 2021

By
Dario Bauso  and
Toru Namerikawa
Edited by
Ali Tajer ,
Samir M. Perlaza  and
H. Vincent Poor
Ali Tajer
Affiliation:
Rensselaer Polytechnic Institute, New York
Samir M. Perlaza
Affiliation:
INRIA
H. Vincent Poor
Affiliation:
Princeton University, New Jersey
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Summary

This chapter introduces mean field games to capture the mutual interaction between a population and its individuals.Within this context, a new equilibrium concept called mean field equilibrium replaces the classical Nash equilibrium in game theory. In a mean field equilibrium each individual responds optimally to the population behavior. In other words, no individuals have incentives to deviate from their current strategies. This new way of modeling the interactions among members of large populations is used to study dynamic demand response management in electricity grids. Moreover, some generalizations of the classical idea of mean field games are introduced to embrace the situations in which the whole population can be divided into classes of members.

Keywords

mean-fieldgame theoryelectric vehiclesdata driven
Type
Chapter
Information
Advanced Data Analytics for Power Systems , pp. 504 - 523
Publisher: Cambridge University Press
Print publication year: 2021

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