Particle approximation of one-dimensional Mean-Field-Games with local interactions
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[1] Yves Achdou,et al. Mean Field Games: Numerical Methods , 2010, SIAM J. Numer. Anal..
[2] P. Lions,et al. Jeux à champ moyen. I – Le cas stationnaire , 2006 .
[3] Giuseppe Savaré,et al. A variational approach to the mean field planning problem , 2018, Journal of Functional Analysis.
[4] Giovanni Russo,et al. Deterministic diffusion of particles , 1990 .
[5] Mathieu Lauriere,et al. On the implementation of a primal-dual algorithm for second order time-dependent Mean Field Games with local couplings , 2018, ESAIM: Proceedings and Surveys.
[6] Dante Kalise,et al. Proximal Methods for Stationary Mean Field Games with Local Couplings , 2016, SIAM J. Control. Optim..
[7] Yves Achdou,et al. Convergence of a Finite Difference Scheme to Weak Solutions of the System of Partial Differential Equations Arising in Mean Field Games , 2015, SIAM J. Numer. Anal..
[8] P. Lions,et al. Mean field games , 2007 .
[9] Yves Achdou,et al. Finite Difference Methods for Mean Field Games , 2013 .
[10] Yves Achdou,et al. Mean Field Games: Numerical Methods for the Planning Problem , 2012, SIAM J. Control. Optim..
[11] G. Russo,et al. Follow-the-Leader Approximations of Macroscopic Models for Vehicular and Pedestrian Flows , 2016, 1610.06743.
[12] M. D. Francesco,et al. Convergence of the follow-the-leader scheme for scalar conservation laws with space dependent flux , 2019, Discrete & Continuous Dynamical Systems - A.
[13] P. Lions,et al. Jeux à champ moyen. II – Horizon fini et contrôle optimal , 2006 .
[14] D. Gomes,et al. Displacement Convexity for First-Order Mean-Field Games , 2018, 1807.07090.
[15] R. McCann. A Convexity Principle for Interacting Gases , 1997 .
[16] Alessio Porretta,et al. On the Planning Problem for the Mean Field Games System , 2014, Dyn. Games Appl..
[17] Laurent Gosse,et al. Identification of Asymptotic Decay to Self-Similarity for One-Dimensional Filtration Equations , 2006, SIAM J. Numer. Anal..
[18] M. Di Francesco,et al. Deterministic particle approximation for nonlocal transport equations with nonlinear mobility , 2018, Journal of Differential Equations.
[19] Yves Achdou,et al. Iterative strategies for solving linearized discrete mean field games systems , 2012, Networks Heterog. Media.
[20] Marco Di Francesco,et al. A Deterministic Particle Approximation for Non-linear Conservation Laws , 2016 .
[21] Yves Achdou,et al. Mean Field Type Control with Congestion (II): An Augmented Lagrangian Method , 2016, Applied Mathematics & Optimization.
[22] F. Santambrogio,et al. Optimal density evolution with congestion: L∞ bounds via flow interchange techniques and applications to variational Mean Field Games , 2017, Communications in Partial Differential Equations.
[23] Diogo A. Gomes,et al. The Hessian Riemannian flow and Newton’s method for effective Hamiltonians and Mather measures , 2018, ESAIM: Mathematical Modelling and Numerical Analysis.
[24] Francisco J. Silva,et al. The planning problem in mean field games as regularized mass transport , 2018, Calculus of Variations and Partial Differential Equations.
[25] Peter E. Caines,et al. Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle , 2006, Commun. Inf. Syst..
[26] Levon Nurbekyan,et al. One-Dimensional Forward–Forward Mean-Field Games , 2016, 1606.09064.
[27] Benjamin Schachter. A New Class of First Order Displacement Convex Functionals , 2018, SIAM J. Math. Anal..
[28] Diogo Gomes,et al. Two Numerical Approaches to Stationary Mean-Field Games , 2015, Dyn. Games Appl..
[29] Diogo Gomes,et al. Some estimates for the planning problem with potential , 2021, Nonlinear Differential Equations and Applications NoDEA.
[30] Diogo A. Gomes,et al. Numerical Methods for Finite-State Mean-Field Games Satisfying a Monotonicity Condition , 2018, Applied Mathematics & Optimization.
[31] S. Fagioli,et al. Deterministic particle approximation of scalar conservation laws , 2016 .