One-Dimensional Stationary Mean-Field Games with Local Coupling

Dynamic Games and Applications ◽

10.1007/s13235-017-0223-9 ◽

2017 ◽

Vol 8 (2) ◽

pp. 315-351 ◽

Author(s):

Diogo A. Gomes ◽

Levon Nurbekyan ◽

Mariana Prazeres

Keyword(s):

Mean Field Games ◽

One Dimensional ◽

Download Full-text

Weak Solutions for First Order Mean Field Games with Local Coupling

Springer INdAM Series - Analysis and Geometry in Control Theory and its Applications ◽

10.1007/978-3-319-06917-3_5 ◽

2015 ◽

pp. 111-158 ◽

Author(s):

Pierre Cardaliaguet

Keyword(s):

Weak Solutions ◽

Mean Field Games ◽

First Order ◽

Download Full-text

The Convergence Problem in Mean Field Games with Local Coupling

Applied Mathematics & Optimization ◽

10.1007/s00245-017-9434-0 ◽

2017 ◽

Vol 76 (1) ◽

pp. 177-215 ◽

Author(s):

P. Cardaliaguet

Keyword(s):

Mean Field Games ◽

Convergence Problem ◽

Download Full-text

One-dimensional, forward-forward mean-field games with congestion

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2018054 ◽

2018 ◽

Vol 11 (5) ◽

pp. 901-914 ◽

Author(s):

Diogo Gomes ◽

◽

Marc Sedjro

Keyword(s):

Mean Field Games ◽

One Dimensional

Download Full-text

One-dimensional, non-local, first-order stationary mean-field games with congestion: A Fourier approach

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2018057 ◽

2018 ◽

Vol 11 (5) ◽

pp. 963-990 ◽

Author(s):

Levon Nurbekyan ◽

Keyword(s):

Mean Field Games ◽

One Dimensional ◽

First Order ◽

Download Full-text

One-Dimensional Forward–Forward Mean-Field Games

Applied Mathematics & Optimization ◽

10.1007/s00245-016-9384-y ◽

2016 ◽

Vol 74 (3) ◽

pp. 619-642 ◽

Author(s):

Diogo A. Gomes ◽

Levon Nurbekyan ◽

Marc Sedjro

Keyword(s):

Mean Field Games ◽

One Dimensional

Download Full-text

Introduction to Variational Methods for Viscous Ergodic Mean-Field Games with Local Coupling

Contemporary Research in Elliptic PDEs and Related Topics - Springer INdAM Series ◽

10.1007/978-3-030-18921-1_5 ◽

2019 ◽

pp. 221-246 ◽

Author(s):

Annalisa Cesaroni ◽

Marco Cirant

Keyword(s):

Variational Methods ◽

Mean Field Games ◽

Local Coupling ◽

Download Full-text

Explicit solutions of one-dimensional, first-order, stationary mean-field games with congestion

2016 IEEE 55th Conference on Decision and Control (CDC) ◽

10.1109/cdc.2016.7798959 ◽

2016 ◽

Author(s):

Diogo A. Gomes ◽

Levon Nurbekyan ◽

Mariana Prazeres

Keyword(s):

Mean Field Games ◽

Explicit Solutions ◽

One Dimensional ◽

Download Full-text

On the Convergence of Open Loop Nash Equilibria in Mean Field Games with a Local Coupling

Trends in Control Theory and Partial Differential Equations - Springer INdAM Series ◽

10.1007/978-3-030-17949-6_6 ◽

2019 ◽

pp. 105-122

Author(s):

Pierre Cardaliaguet

Keyword(s):

Nash Equilibria ◽

Open Loop ◽

Mean Field Games ◽

Download Full-text

Second order mean field games with degenerate diffusion and local coupling

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-015-0323-4 ◽

2015 ◽

Vol 22 (5) ◽

pp. 1287-1317 ◽

Author(s):

Pierre Cardaliaguet ◽

P. Jameson Graber ◽

Alessio Porretta ◽

Daniela Tonon

Keyword(s):

Second Order ◽

Mean Field Games ◽

Degenerate Diffusion ◽

Download Full-text

Small strong solutions for time-dependent mean field games with local coupling

Comptes Rendus Mathematique ◽

10.1016/j.crma.2016.02.006 ◽

2016 ◽

Vol 354 (6) ◽

pp. 589-594 ◽

Author(s):

David M. Ambrose

Keyword(s):

Strong Solutions ◽

Time Dependent ◽

Mean Field Games ◽

Download Full-text