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 …
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 …
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 …
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 …
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 …
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 …
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” …
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 …
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 …