Computer Science – Computer Science and Game Theory
Scientific paper
2011-10-08
Computer Science
Computer Science and Game Theory
submitted to IEEE Journal on Selected Areas in Communications: Smart Grid Communications Series
Scientific paper
In this article, we investigate the competitive interaction between electrical vehicles or hybrid oil-electricity vehicles in a Cournot market consisting of electricity transactions to or from an underlying electricity distribution network. We provide a mean field game formulation for this competition, and introduce the set of fundamental differential equations ruling the behavior of the vehicles at the feedback Nash equilibrium, referred here to as the mean field equilibrium. This framework allows for a consistent analysis of the evolution of the price of electricity as well as of the instantaneous electricity demand in the power grid. Simulations precisely quantify those parameters and suggest that significant reduction of the daily electricity peak demand can be achieved by appropriate electricity pricing.
Couillet Romain
Debbah Merouane
Perlaza Samir Medina
Tembine Hamidou
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