D. References, Albadi and E. El-Saadany. A summary of demand response in electricity markets, Electric Power Systems Research, vol.78, issue.11, pp.1989-1996, 2008.

M. Benaim and J. Boudec, A class of mean field interaction models for computer and communication systems, Performance Evaluation, vol.65, issue.11-12, pp.823-838, 2008.
DOI : 10.1016/j.peva.2008.03.005

S. Boyd, N. Parikh, E. Chu, B. Peleato, and J. Eckstein, Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers, Foundations and Trends?? in Machine Learning, vol.3, issue.1, pp.1-122, 2011.
DOI : 10.1561/2200000016

S. P. Boyd and L. Vandenberghe, Convex optimization, 2004.

I. Cho and S. Meyn, Efficiency and marginal cost pricing in dynamic competitive markets with friction, Theoretical Economics, vol.5, issue.2, pp.215-239, 2010.

E. A. Feinberg and D. Genethliou, Load Forecasting, Applied mathematics for restructured electric power systems, pp.269-285, 2005.
DOI : 10.1007/0-387-23471-3_12

N. Gast and B. Gaujal, A mean field approach for optimization in discrete time, Discrete Event Dynamic Systems, vol.27, issue.10, pp.63-101, 2011.
DOI : 10.1007/s10626-010-0094-3
URL : https://hal.archives-ouvertes.fr/hal-00788770

N. Gast, B. Gaujal, and J. Boudec, Mean field for markov decision processes: from discrete to continuous optimization. Automatic Control, IEEE Transactions on, vol.57, issue.9, pp.2266-2280, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00473005

. Tomozei, Impact of storage on the efficiency and prices in real-time electricity markets, Proceedings of the fourth international conference on Future energy systems, pp.15-26, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00920091

S. Koch, J. L. Mathieu, and D. S. Callaway, Modeling and control of aggregated heterogeneous thermostatically controlled loads for ancillary services, Proc. PSCC, pp.1-7, 2011.

G. Koutitas and L. Tassiulas, A delay based optimization scheme for peak load reduction in the smart grid, Proceedings of the 3rd International Conference on Future Energy Systems Where Energy, Computing and Communication Meet, e-Energy '12, p.7, 2012.
DOI : 10.1145/2208828.2208835

J. Boudec and D. Tomozei, Stability of a stochastic model for demand-response, Stochastic Systems, vol.3, issue.1, pp.11-37, 2013.
DOI : 10.1214/11-SSY048

S. Meyn, P. Barooah, A. Busic, and J. Ehren, Ancillary service to the grid from deferrable loads: The case for intelligent pool pumps in Florida, 52nd IEEE Conference on Decision and Control, p.50, 2013.
DOI : 10.1109/CDC.2013.6760990
URL : https://hal.archives-ouvertes.fr/hal-00924315

A. Mohsenian-rad and A. Leon-garcia, Optimal residential load control with price prediction in real-time electricity pricing environments. Smart Grid, IEEE Transactions on, vol.1, issue.2, pp.120-133, 2010.

P. Pinson, H. Madsen, H. A. Nielsen, G. Papaefthymiou, and B. Klöckl, From probabilistic forecasts to statistical scenarios of short-term wind power production. Wind energy, pp.51-62, 2009.

K. Spees and L. B. Lave, Demand Response and Electricity Market Efficiency, The Electricity Journal, vol.20, issue.3, pp.69-85, 2007.
DOI : 10.1016/j.tej.2007.01.006

C. Su and D. Kirschen, Quantifying the effect of demand response on electricity markets. Power Systems, IEEE Transactions on, vol.24, issue.3, pp.1199-1207, 2009.

G. Wang, M. Negrete-pincetic, A. Kowli, E. Shafieepoorfard, S. Meyn et al., Dynamic Competitive Equilibria in Electricity Markets, Control and Optimization Theory for Electric Smart Grids, 2011.
DOI : 10.1007/978-1-4614-1605-0_2

R. Wilson, Architecture of Power Markets, Econometrica, vol.70, issue.4, pp.1299-1340, 2003.
DOI : 10.1111/1468-0262.00334