-
1
-
-
7544243351
-
Transport equation and Cauchy problem for BV vector fields
-
Ambrosio L. Transport equation and Cauchy problem for BV vector fields. Invent. Math. 2004, 158(2):227-260.
-
(2004)
Invent. Math.
, vol.158
, Issue.2
, pp. 227-260
-
-
Ambrosio, L.1
-
2
-
-
84895906937
-
On a class of first order Hamilton-Jacobi equations in metric spaces
-
Ambrosio L., Feng J. On a class of first order Hamilton-Jacobi equations in metric spaces. J. Differential Equations 2014, 256(7):219-2245.
-
(2014)
J. Differential Equations
, vol.256
, Issue.7
, pp. 219-2245
-
-
Ambrosio, L.1
Feng, J.2
-
3
-
-
37649010339
-
Hamiltonian ODEs in the Wasserstein space of probability measures
-
Ambrosio L., Gangbo W. Hamiltonian ODEs in the Wasserstein space of probability measures. Comm. Pure Appl. Math. 2008, 61(1):18-53.
-
(2008)
Comm. Pure Appl. Math.
, vol.61
, Issue.1
, pp. 18-53
-
-
Ambrosio, L.1
Gangbo, W.2
-
4
-
-
33746157912
-
Gradient Flows in Metric Spaces and in the Space of Probability Measures
-
Birkhäuser Verlag, Basel
-
Ambrosio L., Gigli N., Savaré G. Gradient Flows in Metric Spaces and in the Space of Probability Measures. Lectures in Mathematics ETH Zürich 2005, Birkhäuser Verlag, Basel.
-
(2005)
Lectures in Mathematics ETH Zürich
-
-
Ambrosio, L.1
Gigli, N.2
Savaré, G.3
-
5
-
-
0002056057
-
Markets with a continuum of traders
-
Aumann R.J. Markets with a continuum of traders. Econometrica 1964, 32:39-50.
-
(1964)
Econometrica
, vol.32
, pp. 39-50
-
-
Aumann, R.J.1
-
12
-
-
85068762191
-
-
(from P.-L. Lions' lectures at Collège de France)
-
Cardialaguet P. Notes on mean-field games (from P.-L. Lions' lectures at Collège de France). https://www.ceremade.dauphine.fr/~cardalia/MFG20130420.pdf.
-
Notes on mean-field games
-
-
Cardialaguet, P.1
-
15
-
-
84887513526
-
The derivation of ergodic mean field game equations for several populations of players
-
Feleqi E. The derivation of ergodic mean field game equations for several populations of players. Dyn. Games Appl. 2013, 3(4):523-536.
-
(2013)
Dyn. Games Appl.
, vol.3
, Issue.4
, pp. 523-536
-
-
Feleqi, E.1
-
16
-
-
0003855150
-
Degree Theory in Analysis and Its Applications
-
Oxford University Press
-
Fonseca I., Gangbo W. Degree Theory in Analysis and Its Applications. GMT 1995, Oxford University Press.
-
(1995)
GMT
-
-
Fonseca, I.1
Gangbo, W.2
-
17
-
-
67349235555
-
Euler-Poisson systems as action-minimizing paths in the Wasserstein space
-
Gangbo W., Nguyen T., Tudorascu A. Euler-Poisson systems as action-minimizing paths in the Wasserstein space. Arch. Ration. Mech. Anal. 2009, 192(3):419-452.
-
(2009)
Arch. Ration. Mech. Anal.
, vol.192
, Issue.3
, pp. 419-452
-
-
Gangbo, W.1
Nguyen, T.2
Tudorascu, A.3
-
18
-
-
77049105922
-
Hamilton-Jacobi equations in the Wasserstein space
-
Gangbo W., Nguyen T., Tudorascu A. Hamilton-Jacobi equations in the Wasserstein space. Methods Appl. Anal. 2008, 15(2):155-183.
-
(2008)
Methods Appl. Anal.
, vol.15
, Issue.2
, pp. 155-183
-
-
Gangbo, W.1
Nguyen, T.2
Tudorascu, A.3
-
19
-
-
84886416629
-
Optimal transport and large number of particles
-
Gangbo W., Świech A. Optimal transport and large number of particles. Discrete Contin. Dyn. Syst. 2014, 34(4):1397-1441.
-
(2014)
Discrete Contin. Dyn. Syst.
, vol.34
, Issue.4
, pp. 1397-1441
-
-
Gangbo, W.1
Świech, A.2
-
20
-
-
84941777930
-
Metric viscosity solutions of Hamilton-Jacobi equations depending on local slopes, to appear in Calc. Var
-
Partial Differential Equations.
-
W. Gangbo, A. Świech, Metric viscosity solutions of Hamilton-Jacobi equations depending on local slopes, to appear in Calc. Var. Partial Differential Equations.
-
-
-
Gangbo, W.1
Świech, A.2
-
21
-
-
84892372400
-
Weak KAM theory on the Wasserstein torus with multi-dimensional underlying space
-
Gangbo W., Tudorascu A. Weak KAM theory on the Wasserstein torus with multi-dimensional underlying space. Comm. Pure Appl. Math. 2014, 67(3):408-463.
-
(2014)
Comm. Pure Appl. Math.
, vol.67
, Issue.3
, pp. 408-463
-
-
Gangbo, W.1
Tudorascu, A.2
-
22
-
-
84941774757
-
Mean field games, lecture notes based upon P.-L. Lions course at College de France
-
preprint.
-
D.A. Gomes, Mean field games, lecture notes based upon P.-L. Lions course at College de France, preprint.
-
-
-
Gomes, D.A.1
-
24
-
-
84892860445
-
On the existence of classical solutions for stationary extended Mean Field Games
-
Gomes D.A., Patrizi S., Voskanyan V. On the existence of classical solutions for stationary extended Mean Field Games. Nonlinear Anal. 2014, 99:49-79.
-
(2014)
Nonlinear Anal.
, vol.99
, pp. 49-79
-
-
Gomes, D.A.1
Patrizi, S.2
Voskanyan, V.3
-
29
-
-
84899464039
-
Mean Field Games models-a brief survey
-
Gomes D.A., Saude J. Mean Field Games models-a brief survey. Dyn. Games Appl. 2014, 4(2):110-154.
-
(2014)
Dyn. Games Appl.
, vol.4
, Issue.2
, pp. 110-154
-
-
Gomes, D.A.1
Saude, J.2
-
31
-
-
68849084877
-
A reference case for mean field games models
-
Gueant O. A reference case for mean field games models. J. Math. Pures Appl. (9) 2009, 92(3):276-294.
-
(2009)
J. Math. Pures Appl. (9)
, vol.92
, Issue.3
, pp. 276-294
-
-
Gueant, O.1
-
32
-
-
77958476920
-
Mean Field Games and applications
-
Springer, Berlin, Paris-Princeton Lectures on Mathematical Finance 2010
-
Gueant O., Lasry J.M., Lions P.-L. Mean Field Games and applications. Lecture Notes in Math. 2011, vol. 2003:205-266. Springer, Berlin.
-
(2011)
Lecture Notes in Math.
, vol.2003
, pp. 205-266
-
-
Gueant, O.1
Lasry, J.M.2
Lions, P.-L.3
-
33
-
-
84860826364
-
Mean field games and oil production
-
preprint
-
O. Gueant, J.M. Lasry, P.-L. Lions, Mean field games and oil production, preprint, 2011.
-
(2011)
-
-
Gueant, O.1
Lasry, J.M.2
Lions, P.-L.3
-
34
-
-
79952140932
-
Large-population LQG games involving a major player: the Nash certainty equivalence principle
-
Huang M. Large-population LQG games involving a major player: the Nash certainty equivalence principle. SIAM J. Control Optim. 2009/2010, 48(5):3318-3353.
-
(2009)
SIAM J. Control Optim.
, vol.48
, Issue.5
, pp. 3318-3353
-
-
Huang, M.1
-
35
-
-
84881146148
-
Mean field stochastic games with discrete states and mixed players
-
Huang M. Mean field stochastic games with discrete states and mixed players. Proc. Game Nets 2012.
-
(2012)
Proc. Game Nets
-
-
Huang, M.1
-
36
-
-
34648831837
-
Large-population cost-coupled LQG problems with nonuniform agents: individual-mass behavior and decentralized ε-Nash equilibria
-
Huang M., Caines P.E., Malhamé R.P. Large-population cost-coupled LQG problems with nonuniform agents: individual-mass behavior and decentralized ε-Nash equilibria. IEEE Trans. Automat. Control 2007, 52(9):1560-1571.
-
(2007)
IEEE Trans. Automat. Control
, vol.52
, Issue.9
, pp. 1560-1571
-
-
Huang, M.1
Caines, P.E.2
Malhamé, R.P.3
-
37
-
-
62749196684
-
The Nash certainty equivalence principle and McKean-Vlasov systems: an invariance principle and entry adaptation
-
Huang M., Caines P.E., Malhamé R.P. The Nash certainty equivalence principle and McKean-Vlasov systems: an invariance principle and entry adaptation. 46th IEEE Conference on Decision and Control 2007, 121-123.
-
(2007)
46th IEEE Conference on Decision and Control
, pp. 121-123
-
-
Huang, M.1
Caines, P.E.2
Malhamé, R.P.3
-
38
-
-
34249075491
-
An invariance principle in large population stochastic dynamic games
-
Huang M., Caines P.E., Malhamé R.P. An invariance principle in large population stochastic dynamic games. J. Syst. Sci. Complex. 2007, 20(2):162-172.
-
(2007)
J. Syst. Sci. Complex.
, vol.20
, Issue.2
, pp. 162-172
-
-
Huang, M.1
Caines, P.E.2
Malhamé, R.P.3
-
39
-
-
78650003922
-
The NCE (mean field) principle with locality dependent cost interactions
-
Huang M., Caines P.E., Malhamé R.P. The NCE (mean field) principle with locality dependent cost interactions. IEEE Trans. Automat. Control 2010, 55(12):2799-2805.
-
(2010)
IEEE Trans. Automat. Control
, vol.55
, Issue.12
, pp. 2799-2805
-
-
Huang, M.1
Caines, P.E.2
Malhamé, R.P.3
-
40
-
-
39549087376
-
Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle
-
Huang M., Malhamé R.P., Caines P.E. Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle. Commun. Inf. Syst. 2006, 6(3):221-251.
-
(2006)
Commun. Inf. Syst.
, vol.6
, Issue.3
, pp. 221-251
-
-
Huang, M.1
Malhamé, R.P.2
Caines, P.E.3
-
44
-
-
33750627999
-
Jeux à champ moyen. II. Le cas stationnaire
-
Lasry J.M., Lions P.-L. Jeux à champ moyen. II. Le cas stationnaire. C. R. Math. Acad. Sci. Paris 2006, 343(9):619-625.
-
(2006)
C. R. Math. Acad. Sci. Paris
, vol.343
, Issue.9
, pp. 619-625
-
-
Lasry, J.M.1
Lions, P.-L.2
-
45
-
-
33751077273
-
Jeux à champ moyen. II. Horizon fini et contrôle optimal
-
Lasry J.M., Lions P.-L. Jeux à champ moyen. II. Horizon fini et contrôle optimal. C. R. Math. Acad. Sci. Paris 2006, 343(10):679-684.
-
(2006)
C. R. Math. Acad. Sci. Paris
, vol.343
, Issue.10
, pp. 679-684
-
-
Lasry, J.M.1
Lions, P.-L.2
-
49
-
-
84896287620
-
Knowledge growth and the allocation of time
-
Lucas R.E., Moll B. Knowledge growth and the allocation of time. J. Polit. Econ. 2014, 122(1):1-51.
-
(2014)
J. Polit. Econ.
, vol.122
, Issue.1
, pp. 1-51
-
-
Lucas, R.E.1
Moll, B.2
-
50
-
-
84874613599
-
Nash, social and centralized solutions to consensus problems via mean field control theory
-
Nourian M., Caines P., Malhamé R.P., Huang Minyi Nash, social and centralized solutions to consensus problems via mean field control theory. IEEE Trans. Automat. Control 2013, 58(3):639-653.
-
(2013)
IEEE Trans. Automat. Control
, vol.58
, Issue.3
, pp. 639-653
-
-
Nourian, M.1
Caines, P.2
Malhamé, R.P.3
Huang, M.4
-
51
-
-
84865563114
-
A modest proposal for MFG with density constraints
-
Santambrogio F. A modest proposal for MFG with density constraints. Netw. Heterog. Media 2012, 7(2):337-347.
-
(2012)
Netw. Heterog. Media
, vol.7
, Issue.2
, pp. 337-347
-
-
Santambrogio, F.1
-
52
-
-
84962008216
-
Energy-constrained mean field games in wireless networks
-
in press
-
Tembine H. Energy-constrained mean field games in wireless networks. Strateg. Behav. Environ. 2015, in press.
-
(2015)
Strateg. Behav. Environ.
-
-
Tembine, H.1
|