Title
Scaling Mean Field Games by Online Mirror Descent.
Abstract
We address scaling up equilibrium computation in Mean Field Games (MFGs) using Online Mirror Descent (OMD). We show that continuous-time OMD provably converges to a Nash equilibrium under a natural and well-motivated set of monotonicity assumptions. This theoretical result nicely extends to multi-population games and to settings involving common noise. A thorough experimental investigation on various single and multi-population MFGs shows that OMD outperforms traditional algorithms such as Fictitious Play (FP). We empirically show that OMD scales up and converges significantly faster than FP by solving, for the first time to our knowledge, examples of MFGs with hundreds of billions states. This study establishes the state-of-the-art for learning in large-scale multi-agent and multi-population games.
Year
Venue
DocType
2022
International Joint Conference on Autonomous Agents and Multi-agent Systems
Conference
Citations 
PageRank 
References 
0
0.34
0
Authors
8
Name
Order
Citations
PageRank
Julien Perolat17512.64
Sarah Perrin201.01
Romuald Elie35210.37
Mathieu Laurière4119.66
Georgios Piliouras525042.77
Matthieu Geist638544.31
Karl Tuyls71272127.83
Olivier Pietquin866468.60