[PDF][PDF] Learning mean field games: A survey

M Laurière, S Perrin, M Geist… - arXiv preprint arXiv …, 2022 - researchgate.net
Non-cooperative and cooperative games with a very large number of players have many
applications but remain generally intractable when the number of players increases …

Learning regularized monotone graphon mean-field games

F Zhang, V Tan, Z Wang… - Advances in Neural …, 2023 - proceedings.neurips.cc
This paper studies two fundamental problems in regularized Graphon Mean-Field Games
(GMFGs). First, we establish the existence of a Nash Equilibrium (NE) of any $\lambda …

Learning sparse graphon mean field games

C Fabian, K Cui, H Koeppl - International Conference on …, 2023 - proceedings.mlr.press
Although the field of multi-agent reinforcement learning (MARL) has made considerable
progress in the last years, solving systems with a large number of agents remains a hard …

Learning graphon mean field games and approximate nash equilibria

K Cui, H Koeppl - arXiv preprint arXiv:2112.01280, 2021 - arxiv.org
Recent advances at the intersection of dense large graph limits and mean field games have
begun to enable the scalable analysis of a broad class of dynamical sequential games with …

A label-state formulation of stochastic graphon games and approximate equilibria on large networks

D Lacker, A Soret - Mathematics of Operations Research, 2023 - pubsonline.informs.org
This paper studies stochastic games on large graphs and their graphon limits. We propose a
new formulation of graphon games based on a single typical player's label-state distribution …

Finite state graphon games with applications to epidemics

A Aurell, R Carmona, G Dayanıklı… - Dynamic Games and …, 2022 - Springer
We consider a game for a continuum of non-identical players evolving on a finite state
space. Their heterogeneous interactions are represented with a graphon, which can be …

Approximately optimal distributed stochastic controls beyond the mean field setting

J Jackson, D Lacker - arXiv preprint arXiv:2301.02901, 2023 - arxiv.org
We study high-dimensional stochastic optimal control problems in which many agents
cooperate to minimize a convex cost functional. We consider both the full-information …

Synergy of Patent and Open-Source-Driven Sustainable Climate Governance under Green AI: A Case Study of TinyML

T Li, J Luo, K Liang, C Yi, L Ma - Sustainability, 2023 - mdpi.com
Green AI (Artificial Intelligence) and digitalization facilitate the “Dual-Carbon” goal of low-
carbon, high-quality economic development. Green AI is moving from “cloud” to “edge” …

Propagation of chaos of forward–backward stochastic differential equations with graphon interactions

E Bayraktar, R Wu, X Zhang - Applied Mathematics & Optimization, 2023 - Springer
In this paper, we study graphon mean field games using a system of forward–backward
stochastic differential equations. We establish the existence and uniqueness of solutions …

Towards an analytical framework for potential games

X Guo, Y Zhang - arXiv preprint arXiv:2310.02259, 2023 - arxiv.org
Potential game is an emerging notion and framework for studying multi-agent games,
especially with heterogeneous agents. Up to date, potential games have been extensively …