[图书][B] Probabilistic theory of mean field games with applications I-II
The lion's share of this chapter is devoted to the construction of equilibria for mean field
games with a common noise. We develop a general two-step strategy for the search of weak …
games with a common noise. We develop a general two-step strategy for the search of weak …
A machine learning framework for solving high-dimensional mean field game and mean field control problems
Mean field games (MFG) and mean field control (MFC) are critical classes of multiagent
models for the efficient analysis of massive populations of interacting agents. Their areas of …
models for the efficient analysis of massive populations of interacting agents. Their areas of …
[图书][B] Regularity theory for mean-field game systems
This book brings together several recent developments on the regularity theory for mean-
field game systems. We detail several classes of methods and present a concise overview of …
field game systems. We detail several classes of methods and present a concise overview of …
Controlling propagation of epidemics via mean-field control
The coronavirus disease 2019 (COVID-19) pandemic is changing and impacting lives on a
global scale. In this paper, we introduce a mean-field game model in controlling the …
global scale. In this paper, we introduce a mean-field game model in controlling the …
Alternating the population and control neural networks to solve high-dimensional stochastic mean-field games
We present APAC-Net, an alternating population and agent control neural network for
solving stochastic mean-field games (MFGs). Our algorithm is geared toward high …
solving stochastic mean-field games (MFGs). Our algorithm is geared toward high …
Computational methods for first-order nonlocal mean field games with applications
We introduce a novel framework to model and solve first-order mean field game systems
with nonlocal interactions, extending the results in [L. Nurbekyan and J. Saúde, Port. Math …
with nonlocal interactions, extending the results in [L. Nurbekyan and J. Saúde, Port. Math …
A numerical algorithm for inverse problem from partial boundary measurement arising from mean field game problem
In this work, we consider a novel inverse problem in mean-field games (MFGs). We aim to
recover the MFG model parameters that govern the underlying interactions among the …
recover the MFG model parameters that govern the underlying interactions among the …
On non-uniqueness and uniqueness of solutions in finite-horizon mean field games
M Bardi, M Fischer - ESAIM: Control, Optimisation and Calculus of …, 2019 - esaim-cocv.org
This paper presents a class of evolutive Mean Field Games with multiple solutions for all
time horizons T and convex but non-smooth Hamiltonian H, as well as for smooth H and T …
time horizons T and convex but non-smooth Hamiltonian H, as well as for smooth H and T …
Mean field control and mean field game models with several populations
A Bensoussan, T Huang, M Lauriere - arXiv preprint arXiv:1810.00783, 2018 - arxiv.org
In this paper, we investigate the interaction of two populations with a large number of
indistinguishable agents. The problem consists in two levels: the interaction between agents …
indistinguishable agents. The problem consists in two levels: the interaction between agents …
[PDF][PDF] Apac-net: Alternating the population and agent control via two neural networks to solve high-dimensional stochastic mean field games
We present APAC-Net, an alternating population and agent control neural network for
solving stochastic mean field games (MFGs). Our algorithm is geared toward …
solving stochastic mean field games (MFGs). Our algorithm is geared toward …