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We study a Mean Field Games (MFG) system in a real, separable infinite dimensional Hilbert space.
Probability Measures on Metric Spaces
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Stochastic Optimal Control – The Discrete Time Case
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Hamilton-Jacobi Equations in Hilbert Spaces
V. Barbu and G. Da Prato · 1983
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Weakly continuous semigroups in the space of functions with polynomial growth
S. Cerrai · 1995
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Regular densities of invariant measures in Hilbert spaces
G. Da Prato and J. Zabczyk · 1995
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Regularity of solutions of a second order Hamilton-Jacobi equation and application to a control problem
F. Gozzi · 1995
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Strong solutions for Kolmogorov equation in Hilbert spaces
F. Gozzi · 1997
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Second Order Hamilton-Jacobi Equations in Hilbert Spaces and Stochastic Optimal Control
F. Gozzi · 1998
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Second Order Partial Differential Equations in Hilbert Spaces
G. Da Prato and J. Zabczyk · 2002
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Second order Hamilton-Jacobi equations in Hilbert spaces and stochastic optimal control
F. Gozzi · 2002
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Topics in Optimal Transportation
C. Villani · 2003
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An introduction to infinite-dimensional analysis
G. Da Prato · 2006
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Anticipation effects of technological progress on capital accumulation: a vintage capital approach
G. Feichtinger, R.F. Hartl, P.M. Kort, and V.M. Veliov · 2006
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Jeux à champ moyen. i – le cas stationnaire
J.M. Lasry and P.-L. Lions · 2006
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Jeux à champ moyen. ii – horizon fini et controle optimal
J.M. Lasry and P.-L. Lions · 2006
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Uniqueness of solutions to weak parabolic equations for measures
V. Bogachev, G. Da Prato, M. Röckner, and W. Stannat · 2007
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Large-population cost-coupled lqg problems with nonuniform agents: Individual-mass behavior and decentralized ε \varepsilon -Nash equilibria
M. Huang, P.E. Caines, and R.P. Malhamé · 2007
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Mean field games
J.M. Lasry and P.-L. Lions · 2007
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Gradient Flows in Metric Spaces and in the Space of Probability Measures
L. Ambrosio, N. Gigli, and G. Savaré · 2008
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Fokker–Planck equations and maximal dissipativity for kolmogorov operators with time-dependent singular drifts in Hilbert spaces
V. Bogachev, G. Da Prato, and M. Röckner · 2009
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Existence and uniqueness of solutions for Fokker–Planck equations on Hilbert spaces
Mean Field Games
R. Carmona and F. Delarue · 2017
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Stochastic Optimal Control in Infinite Dimension
G. Fabbri, F. Gozzi, and A. Święch · 2017
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Probabilistic Theory of Mean Field Games with Applications I-II
R. Carmona and F. Delarue · 2018
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Systemic risk and stochastic games with delay
R. Carmona, J.P. Fouque, S.M. Mousavi, and L.-H. Sun · 2018
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Mean field game with delay: a toy model
J.-P. Fouque and Z. Zhang · 2018
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Growth and agglomeration in the heterogeneous space: a generalized AK approach
R. Boucekkine, G. Fabbri, S. Federico, and F. Gozzi · 2019
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V. Bogachev, G. Da Prato, and M. Röckner · 2010
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Uniqueness for solutions of Fokker–Planck equations on infinite-dimensional spaces
V. Bogachev, G. Da Prato, and M. Röckner · 2011
Cited alongside, same era.
Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift
G. Da Prato, F. Flandoli, E. Priola, and M. Röckner · 2013
Cited alongside, same era.
Fokker–Planck equations for SPDE with non-trace-class noise
G. Da Prato, F. Flandoli, and M. Röckner · 2013
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Uniqueness for solutions of Fokker–Planck equations related to singular SPDE driven by Lévy and cylindrical Wiener noise
S. Wiesinger · 2013
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Partial differential equation models in macroeconomics
Y. Achdou, F.J. Buera, J.-M. Lasry, P.-L. Lions, and B. Moll · 2014
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Stochastic Equations in Infinite Dimensions
G. Da Prato and J. Zabczyk · 2014
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An introduction to mean field game theory
P. Cardaliaguet and A. Porretta · 2020
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Optimal investment with vintage capital: Equilibrium distributions
S. Faggian, F. Gozzi, and P.M. Kort · 2021
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F.Gozzi and M. Leocata, A stochastic model of economic growth in time-space
2022
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On monotonicity conditions for mean field games
P.J. Graber and A.R. Mészáros · 2023
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A mean-field model of optimal investment
A. Calvia, S. Federico, G. Ferrari, and F. Gozzi · 2024
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Linear-quadratic mean field games in Hilbert spaces
S. Federico, F. Gozzi, and D. Ghilli · 2024
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Hilbert space-valued LQ mean field games: An infinite-dimensional analysis
H. Liu and D. Firoozi · 2024
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Mean field games systems under displacement monotonicity
A.R. Mészáros and C. Mou · 2024
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