-
2
-
-
84865608369
-
Explicit solutions of some linear-quadratic mean field games
-
Bardi, M.: Explicit solutions of some linear-quadratic mean field games. Netw. Heterog. Media 7(2), 243–261 (2012)
-
(2012)
Netw. Heterog. Media
, vol.7
, Issue.2
, pp. 243-261
-
-
Bardi, M.1
-
4
-
-
85088964125
-
-
Springer, Berlin
-
Bensoussan, A., Frehse, J., Yam, P.: Mean Field Games and Mean Field Type Control Theory. Springer, Berlin (2013)
-
(2013)
Mean Field Games and Mean Field Type Control Theory
-
-
Bensoussan, A.1
Frehse, J.2
Yam, P.3
-
5
-
-
84978118748
-
-
Bensoussan, A., Frehse, J., Yam, P.: The master equation in mean field theory. arXiv:1404.4150 (2014)
-
(2014)
The master equation in mean field theory. arXiv
, vol.1404
, pp. 4150
-
-
Bensoussan, A.1
Frehse, J.2
Yam, P.3
-
6
-
-
84876190746
-
-
Bensoussan, A., Sung, K.C.J., Yam, S.C.P., Yung, S.P
-
Bensoussan, A., Sung, K.C.J., Yam, S.C.P., Yung, S.P.: Linear-quadratic mean field games (2011, preprint)
-
(2011)
Linear-quadratic mean field games
-
-
-
8
-
-
84881309217
-
Probabilistic analysis of mean field games
-
Carmona, R., Delarue, F.: Probabilistic analysis of mean field games. SIAM J. Control Optim. 51(4), 2705–2734 (2013)
-
(2013)
SIAM J. Control Optim.
, vol.51
, Issue.4
, pp. 2705-2734
-
-
Carmona, R.1
Delarue, F.2
-
10
-
-
84876129326
-
Control of McKean–Vlasov dynamics versus mean field games
-
Carmona, R., Delarue, F., Lachapelle, A.: Control of McKean–Vlasov dynamics versus mean field games. Math. Financ. Econ. 7(2), 131–166 (2013)
-
(2013)
Math. Financ. Econ.
, vol.7
, Issue.2
, pp. 131-166
-
-
Carmona, R.1
Delarue, F.2
Lachapelle, A.3
-
11
-
-
84939957560
-
-
Carmona, R., Delarue, F., Lacker, D.: Mean field games with common noise. arXiv:1407.6181 (2014)
-
(2014)
Mean field games with common noise. arXiv
, vol.1407
, pp. 6181
-
-
Carmona, R.1
Delarue, F.2
Lacker, D.3
-
12
-
-
84939948797
-
-
Carmona, R., Fouque, J.P., Sun, L.H.: Mean field games and systemic risk. arXiv:1308.2172 (2013)
-
(2013)
Mean field games and systemic risk. arXiv
, vol.1308
, pp. 2172
-
-
Carmona, R.1
Fouque, J.P.2
Sun, L.H.3
-
13
-
-
84925426147
-
A probabilistic weak formulation of mean field games and applications
-
Carmona, R., Lacker, D.: A probabilistic weak formulation of mean field games and applications. Ann. Appl. Probab. 25(3), 1189–1231 (2015)
-
(2015)
Ann. Appl. Probab.
, vol.25
, Issue.3
, pp. 1189-1231
-
-
Carmona, R.1
Lacker, D.2
-
14
-
-
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. 3(4), 523–536 (2013)
-
(2013)
Dyn. Games Appl.
, vol.3
, Issue.4
, pp. 523-536
-
-
Feleqi, E.1
-
16
-
-
84985400388
-
On the McKean–Vlasov limit for interacting diffusions
-
Gärtner, J.: On the McKean–Vlasov limit for interacting diffusions. Math. Nachr. 137(1), 197–248 (1988)
-
(1988)
Math. Nachr.
, vol.137
, Issue.1
, pp. 197-248
-
-
Gärtner, J.1
-
17
-
-
84880206151
-
Continuous time finite state mean field games
-
Gomes, D.A., Mohr, J., Souza, R.R.: Continuous time finite state mean field games. Appl. Math. Optim. 68(1), 99–143 (2013)
-
(2013)
Appl. Math. Optim.
, vol.68
, Issue.1
, pp. 99-143
-
-
Gomes, D.A.1
Mohr, J.2
Souza, R.R.3
-
18
-
-
84973259353
-
Mean field games models—a brief survey
-
Gomes, D.A., Saúde, J.: Mean field games models—a brief survey. Dyn. Games Appl. 2013, 1–45 (2013)
-
(2013)
Dyn. Games Appl.
, vol.2013
, pp. 1-45
-
-
Gomes, D.A.1
Saúde, J.2
-
19
-
-
77958476920
-
Mean field games and applications, Paris-Princeton Lectures on Mathematical Finance 2010, Lecture Notes in Mathematics, vol. 2003
-
Guéant, O., Lasry, J.M., Lions, P.L.: Mean field games and applications, Paris-Princeton Lectures on Mathematical Finance 2010, Lecture Notes in Mathematics, vol. 2003. Springer, Berlin, pp. 205–266 (2011)
-
(2011)
Springer, Berlin
, pp. 205-266
-
-
Guéant, O.1
Lasry, J.M.2
Lions, P.L.3
-
21
-
-
39549087376
-
Large population stochastic dynamic games: closed-loop McKean–Vlasov systems and the Nash certainty equivalence principle
-
Huang, M., Malhamé, R., Caines, P.: Large population stochastic dynamic games: closed-loop McKean–Vlasov systems and the Nash certainty equivalence principle. Commun. Inf. Syst. 6(3), 221–252 (2006)
-
(2006)
Commun. Inf. Syst.
, vol.6
, Issue.3
, pp. 221-252
-
-
Huang, M.1
Malhamé, R.2
Caines, P.3
-
22
-
-
0000555789
-
Sur un type de convergence intermédiaire entre la convergence en loi et la convergence en probabilité
-
Jacod, J., Mémin, J.: Sur un type de convergence intermédiaire entre la convergence en loi et la convergence en probabilité. Séminaire de probabilités de Strasbourg 15, 529–546 (1981)
-
(1981)
Séminaire de probabilités de Strasbourg
, vol.15
, pp. 529-546
-
-
Jacod, J.1
Mémin, J.2
-
24
-
-
0001274938
-
Compactification methods in the control of degenerate diffusions: existence of an optimal control
-
El Karoui, N., Nguyen, D.H., Jeanblanc-Picqué, M.: Compactification methods in the control of degenerate diffusions: existence of an optimal control. Stochastics 20(3), 169–219 (1987)
-
(1987)
Stochastics
, vol.20
, Issue.3
, pp. 169-219
-
-
El Karoui, N.1
Nguyen, D.H.2
Jeanblanc-Picqué, M.3
-
25
-
-
0024068809
-
Existence of an optimal Markovian filter for the control under partial observations
-
El Karoui, N., Nguyen, D.H., Jeanblanc-Picqué, M.: Existence of an optimal Markovian filter for the control under partial observations. SIAM J. Control Optim. 26(5), 1025–1061 (1988)
-
(1988)
SIAM J. Control Optim.
, vol.26
, Issue.5
, pp. 1025-1061
-
-
El Karoui, N.1
Nguyen, D.H.2
Jeanblanc-Picqué, M.3
-
27
-
-
84874236760
-
-
Kolokoltsov, V.N., Li, J., Yang, W.: Mean field games and nonlinear Markov processes. arXiv:1112.3744 (2011)
-
(2011)
Mean field games and nonlinear Markov processes. arXiv
, vol.1112
, pp. 3744
-
-
Kolokoltsov, V.N.1
Li, J.2
Yang, W.3
-
28
-
-
0000367265
-
Weak limit theorems for stochastic integrals and stochastic differential equations
-
Kurtz, T.G., Protter, P.: Weak limit theorems for stochastic integrals and stochastic differential equations. Ann. Probab. 19, 1035–1070 (1991)
-
(1991)
Ann. Probab.
, vol.19
, pp. 1035-1070
-
-
Kurtz, T.G.1
Protter, P.2
-
29
-
-
84933553528
-
Mean field games via controlled martingale problems: existence of Markovian equilibria
-
Lacker, D.: Mean field games via controlled martingale problems: existence of Markovian equilibria. Stoch. Processes Appl. 125(7), 2856–2894 (2015)
-
(2015)
Stoch. Processes Appl.
, vol.125
, Issue.7
, pp. 2856-2894
-
-
Lacker, D.1
-
30
-
-
33750627999
-
Jeux à champ moyen. I-Le cas stationnaire
-
Lasry, J.M., Lions, P.L.: Jeux à champ moyen. I-Le cas stationnaire. Comptes Rendus Mathématique 343(9), 619–625 (2006)
-
(2006)
Comptes Rendus Mathématique
, vol.343
, Issue.9
, pp. 619-625
-
-
Lasry, J.M.1
Lions, P.L.2
-
32
-
-
0040554658
-
A martingale approach to the law of large numbers for weakly interacting stochastic processes
-
Oelschläger, K.: A martingale approach to the law of large numbers for weakly interacting stochastic processes. Ann. Probab. 12, 458–479 (1984)
-
(1984)
Ann. Probab.
, vol.12
, pp. 458-479
-
-
Oelschläger, K.1
-
34
-
-
0010846353
-
-
Springer, Berlin
-
Sznitman, A.S.: Topics in propagation of chaos, Ecole d’eté de Probabilités de Saint-Flour XIX—1989, Lecture Notes in Mathematics, vol. 1464, pp. 165–251. Springer, Berlin (1991)
-
(1991)
Topics in propagation of chaos, Ecole d’eté de Probabilités de Saint-Flour XIX—1989, Lecture Notes in Mathematics, vol. 1464, pp. 165–251
-
-
Sznitman, A.S.1
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