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Weak-strong uniqueness for solutions to mean-field games
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Regularity for weak solutions to first-order local mean field games
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Closed-Loop Equilibria for Mean-Field Games in Randomly Switching Environments with General Discounting Costs
Marco Cirant, Diogo A. Gomes, Edgard A. Pimentel and Héctor Sánchez-Morgado Journal of Dynamics & Games 8(4) 445 (2021) https://doi.org/10.3934/jdg.2021006
Convergence of some Mean Field Games systems to aggregation and flocking models
Alternating the population and control neural networks to solve high-dimensional stochastic mean-field games
Alex Tong Lin, Samy Wu Fung, Wuchen Li, Levon Nurbekyan and Stanley J. Osher Proceedings of the National Academy of Sciences 118(31) (2021) https://doi.org/10.1073/pnas.2024713118
Nonlocal Bertrand and Cournot mean field games with general nonlinear demand schedule
The planning problem in mean field games as regularized mass transport
P. Jameson Graber, Alpár R. Mészáros, Francisco J. Silva and Daniela Tonon Calculus of Variations and Partial Differential Equations 58(3) (2019) https://doi.org/10.1007/s00526-019-1561-9
Time-Dependent Focusing Mean-Field Games: The Sub-critical Case
Contemporary Research in Elliptic PDEs and Related Topics
Annalisa Cesaroni and Marco Cirant Springer INdAM Series, Contemporary Research in Elliptic PDEs and Related Topics 33 221 (2019) https://doi.org/10.1007/978-3-030-18921-1_5
New estimates on the regularity of the pressure in density‐constrained mean field games
Probabilistic Theory of Mean Field Games with Applications II
René Carmona and François Delarue Probability Theory and Stochastic Modelling, Probabilistic Theory of Mean Field Games with Applications II 84 447 (2018) https://doi.org/10.1007/978-3-319-56436-4_6
On the Variational Formulation of Some Stationary Second-Order Mean Field Games Systems
Alpár Richárd Mészáros and Francisco J. Silva SIAM Journal on Mathematical Analysis 50(1) 1255 (2018) https://doi.org/10.1137/17M1125960
Probabilistic Theory of Mean Field Games with Applications II
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Existence of Weak Solutions to Stationary Mean-Field Games through Variational Inequalities
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Sobolev regularity for first order mean field games
Probabilistic Theory of Mean Field Games with Applications II
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First-order, stationary mean-field games with congestion
David Evangelista, Rita Ferreira, Diogo A. Gomes, Levon Nurbekyan and Vardan Voskanyan Nonlinear Analysis 173 37 (2018) https://doi.org/10.1016/j.na.2018.03.011
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René Carmona and François Delarue Probability Theory and Stochastic Modelling, Probabilistic Theory of Mean Field Games with Applications I 83 513 (2018) https://doi.org/10.1007/978-3-319-58920-6_6
Proximal Methods for Stationary Mean Field Games with Local Couplings
L. M. Bricen͂o-Arias, D. Kalise and F. J. Silva SIAM Journal on Control and Optimization 56(2) 801 (2018) https://doi.org/10.1137/16M1095615
Probabilistic Theory of Mean Field Games with Applications II
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Probabilistic Theory of Mean Field Games with Applications I
René Carmona and François Delarue Probability Theory and Stochastic Modelling, Probabilistic Theory of Mean Field Games with Applications I 83 129 (2018) https://doi.org/10.1007/978-3-319-58920-6_3
Existence and Uniqueness of Solutions for Bertrand and Cournot Mean Field Games
Jean-David Benamou, Guillaume Carlier and Filippo Santambrogio Modeling and Simulation in Science, Engineering and Technology, Active Particles, Volume 1 141 (2017) https://doi.org/10.1007/978-3-319-49996-3_4
Metric gradient flows with state dependent functionals: The Nash-MFG equilibrium flows and their numerical schemes
Pierre Cardaliaguet, Alessio Porretta and Daniela Tonon Annals of the International Society of Dynamic Games, Advances in Dynamic and Mean Field Games 15 49 (2017) https://doi.org/10.1007/978-3-319-70619-1_3
Homogenization of a Mean Field Game System in the Small Noise Limit
Annalisa Cesaroni, Nicolas Dirr and Claudio Marchi SIAM Journal on Mathematical Analysis 48(4) 2701 (2016) https://doi.org/10.1137/16M1063459
First Order Mean Field Games with Density Constraints: Pressure Equals Price
Pierre Cardaliaguet, Alpár R. Mészáros and Filippo Santambrogio SIAM Journal on Control and Optimization 54(5) 2672 (2016) https://doi.org/10.1137/15M1029849
Linear Quadratic Mean Field Type Control and Mean Field Games with Common Noise, with Application to Production of an Exhaustible Resource
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Pierre Cardaliaguet, P. Jameson Graber, Alessio Porretta and Daniela Tonon Nonlinear Differential Equations and Applications NoDEA 22(5) 1287 (2015) https://doi.org/10.1007/s00030-015-0323-4
A variational approach to second order mean field games with density constraints: The stationary case
Sobolev regularity for the first order Hamilton–Jacobi equation
Pierre Cardaliaguet, Alessio Porretta and Daniela Tonon Calculus of Variations and Partial Differential Equations 54(3) 3037 (2015) https://doi.org/10.1007/s00526-015-0893-3
Augmented Lagrangian Methods for Transport Optimization, Mean Field Games and Degenerate Elliptic Equations