Y. Achdou and I. Capuzzo-dolcetta, Mean Field Games: Numerical Methods, SIAM Journal on Numerical Analysis, vol.48, issue.3, p.392074, 2009.
DOI : 10.1137/090758477

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

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

J. Benamou and Y. Brenier, A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem, Numerische Mathematik, vol.84, issue.3, 2000.
DOI : 10.1007/s002110050002

A. Bensoussan and J. Frehse, Nonlinear elliptic systems in stochastic game theory, J. Reine Angew. Math, 1984.

M. Burger, P. Markowich, and J. Pietschmann, Continuous limit of a crowd motion and herding model: Analysis and numerical simulations, 2010.

C. Burstedde, A. Kirchner, K. Klauck, A. Schadschneider, and J. Zittartz, Cellular automaton approach to pedestrian dynamics-applications. Pedestrian and Evacuation Dynamics, 2001.

G. Buttazzo, E. Oudet, and C. Jimenez, An Optimization Problem for Mass Transportation with Congested Dynamics, SIAM Journal on Control and Optimization, vol.48, issue.3, 2009.
DOI : 10.1137/07070543X

URL : https://hal.archives-ouvertes.fr/hal-00385145

M. D. Francesco, P. Markowich, J. Pietschmann, and M. Wolfram, On the Hughes' model for pedestrian flow: The one-dimensional case, Journal of Differential Equations, vol.250, issue.3, pp.1334-1362, 2010.
DOI : 10.1016/j.jde.2010.10.015

O. Guéant, A reference case for mean field games models, Journal de Math??matiques Pures et Appliqu??es, vol.92, issue.3, pp.276-294, 2009.
DOI : 10.1016/j.matpur.2009.04.008

G. Haag and W. Weidlich, Concepts and models of a quantitative sociology, 1983.

B. Hankin and R. Wright, Passenger Flow in Subways, Journal of the Operational Research Society, vol.9, issue.2, pp.81-88, 1958.
DOI : 10.1057/jors.1958.9

D. Helbing, A mathematical model for the behavior of pedestrians, Behavioral Science, vol.10, issue.4, 1991.
DOI : 10.1002/bs.3830360405

D. Helbing, Microscopic foundation of stochastic game dynamical equations. Game Theory, Experience, Ratio- nality, 1998.

D. Helbing, I. Farkas, P. Molnar, and T. Vicsek, Simulation of pedestrian crowds in normal and evacuation situations,. Pedestrian and Evacuation Dynamics, 2002.

D. Helbing and P. Molnar, Social force model for pedestrian dynamics, Physical Review E, vol.51, issue.5, 1995.
DOI : 10.1103/PhysRevE.51.4282

URL : http://arxiv.org/abs/cond-mat/9805244

L. F. Henderson, On the fluid mechanics of human crowd motion, Transportation Research, vol.8, issue.6, pp.509-515, 1974.
DOI : 10.1016/0041-1647(74)90027-6

L. A. Hoel, Pedestrian travel rates in central business districts, Traffic Engineering, 1968.

R. L. Hughes, A continuum theory for the flow of pedestrians, Transportation Research Part B: Methodological, vol.36, issue.6, 2002.
DOI : 10.1016/S0191-2615(01)00015-7

A. Kirchner and A. Schadschneider, Cellular automaton simulations of pedestrian dynamics and evacuation processes . Traffic and Granular Flow '01, 2002.

A. Lachapelle, Control and transport problems in economics: Theoretical and numerical aspects, 2010.
URL : https://hal.archives-ouvertes.fr/tel-00512404

A. Lachapelle, J. Salomon, and G. Turinici, COMPUTATION OF MEAN FIELD EQUILIBRIA IN ECONOMICS, Mathematical Models and Methods in Applied Sciences, vol.20, issue.04, pp.1-22, 2010.
DOI : 10.1142/S0218202510004349

URL : https://hal.archives-ouvertes.fr/hal-00346214

J. Lasry and P. Lions, Mean field games, Japanese Journal of Mathematics, vol.4, issue.1, pp.229-260, 2007.
DOI : 10.1007/s11537-007-0657-8

URL : https://hal.archives-ouvertes.fr/hal-00667356

P. Lions, Théorie des jeuxàjeux`jeuxà champ moyen et applications. Cours auColì ege de France, 2008.

B. Maury, A. Roudneff-chupin, and F. Santambrogio, to appear. A macroscopic crowd motion model of gradient flow type, Math. Models Meth. Appl. Sci

A. Schadschneider, D. Chowdhury, and K. Nishinari, Pedestrian and Evacuation Dynamics, Ch. From Ant Trails to Pedestrian Dynamics ? Learning from Nature, 2005.

O. Schenk and K. Gärtner, On fast factorization pivoting methods for symmetric indefinite systems, Elec. Trans. Numer. Anal, vol.23, pp.158-179, 2004.

O. Schenk and K. Gärtner, Solving unsymmetric sparse systems of linear equations with PARDISO, Future Generation Computer Systems, vol.20, issue.3, pp.475-487, 2004.
DOI : 10.1016/j.future.2003.07.011

J. Schöberl, NETGEN An advancing front 2D/3D-mesh generator based on abstract rules, Computing and Visualization in Science, vol.1, issue.1, pp.41-52, 1997.
DOI : 10.1007/s007910050004