A. Simpson, Cost-benefit analysis of plug-in hybrid electric vehicle technology, 22nd International Battery, Hybrid and Fuel Cell Electric Vehicle Symposium, 2006.

T. H. Bradley and A. A. Frank, Design, demonstrations and sustainability impact assessments for plug-in hybrid electric vehicles, Renewable and Sustainable Energy Reviews, vol.13, issue.1, pp.115-128, 2009.
DOI : 10.1016/j.rser.2007.05.003

M. Kintner-meyer, K. Schneider, and R. Pratt, Impacts assessment of plug-in hybrid vehicles on electric utilities and regional us power grids. part i: Technical analysis, 2007.

F. Pan, R. Bent, A. Berscheid, and D. Izraelevitz, Locating PHEV Exchange Stations in V2G, 2010 First IEEE International Conference on Smart Grid Communications, 2010.
DOI : 10.1109/SMARTGRID.2010.5622037

S. Shao, M. Pipattanasomporn, and S. Rahman, Challenges of PHEV penetration to the residential distribution network, 2009 IEEE Power & Energy Society General Meeting, pp.1-8, 2009.
DOI : 10.1109/PES.2009.5275806

S. Sojoudi and S. H. Low, Optimal charging of plug-in hybrid electric vehicles in smart grids, 2011 IEEE Power and Energy Society General Meeting, 2010.
DOI : 10.1109/PES.2011.6039236

H. Turton and F. Moura, Vehicle-to-grid systems for sustainable development: An integrated energy analysis, Technological Forecasting and Social Change, vol.75, issue.8, pp.1091-1108, 2008.
DOI : 10.1016/j.techfore.2007.11.013

A. Cournot, Researches into the mathematical principles of the theory of wealth, Trans. N.T. Bacon, 1929.

T. Bas¸arbas¸ar and G. J. Olsder, Dynamic Noncooperative Game Theory, SIAM Series in Classics in Applied Mathematics

W. Saad, Z. Han, H. V. Poor, and T. Bas¸arbas¸ar, A noncooperative game for double auction-based energy trading between PHEVs and distribution grids, 2011 IEEE International Conference on Smart Grid Communications (SmartGridComm), 2011.
DOI : 10.1109/SmartGridComm.2011.6102331

D. Fudenberg and J. Tirole, Game theory, 1991.

J. F. Nash, Equilibrium points in n-person games, Proceedings of the National Academy of Sciences, vol.36, issue.1, pp.48-49, 1950.
DOI : 10.1073/pnas.36.1.48

R. Aumann, Markets with a Continuum of Traders, Econometrica, vol.32, issue.1/2, pp.39-50, 1964.
DOI : 10.2307/1913732

G. Carmona, Nash Equilibria of Games with a Continuum of Players, SSRN Electronic Journal, 2004.
DOI : 10.2139/ssrn.882468

J. M. Lasry and P. L. Lions, Jeux ?? champ moyen. I ??? Le cas stationnaire, Comptes Rendus Mathematique, vol.343, issue.9, pp.619-625, 2006.
DOI : 10.1016/j.crma.2006.09.019

O. Guéant, J. M. Lasry, and P. L. Lions, Mean field games and oil production, 2010.

Y. Achdou and I. Capuzzo-dolcetta, Mean Field Games: Numerical Methods, SIAM Journal on Numerical Analysis, vol.48, issue.3, pp.1136-1162, 2010.
DOI : 10.1137/090758477

URL : https://hal.archives-ouvertes.fr/hal-00392074

J. F. Nash, Equilibrium points in n-person games, Proceedings of the National Academy of Sciences, vol.36, issue.1, pp.48-49, 1950.
DOI : 10.1073/pnas.36.1.48

J. P. Aubin, Mathematical methods of game and economic theory, Studies in Mathematics and its application, 1976.

K. Itô, Multiple Wiener Integral, Journal of the Mathematical Society of Japan, vol.3, issue.1, pp.157-169, 1951.
DOI : 10.2969/jmsj/00310157