Emerging Research Directions in Mean Field Games

Diogo Gomes*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Since its inception, Mean Field Game (MFG) theory has developed rapidly and is increasingly applied across diverse domains such as economics, finance, energy systems, biology, and sociology. This paper explores new research directions in MFGs, focusing on practical applications. We discuss theoretical and computational challenges in analyzing monotone and non-monotone MFGs (where agent costs do not necessarily increase with population density), highlighting their relevance in modeling phenomena such as traffic flow. We also explore the role of boundary conditions in MFG models, illustrating how they influence solutions and the interpretation of results, especially in models dealing with agent flow at the boundaries. Our work highlights the importance of empirical calibration of MFG models, utilizing real-world data to refine model accuracy and parameter estimation. Moreover, we examine the integration of machine learning methods into MFG research, demonstrating their potential to enhance computational efficiency and provide innovative solutions to high-dimensional problems typical of mean-field models.

Original languageEnglish (US)
Title of host publicationCONTROLO 2024 - Proceedings of the 16th APCA International Conference on Automatic Control and Soft Computing, 2024
EditorsAntonio Pedro Aguiar, Paula Rocha Malonek, Fernando A. C. C. Fontes, Roman Chertovskih, Vítor Hugo Pinto
PublisherSpringer Science and Business Media Deutschland GmbH
Pages280-296
Number of pages17
ISBN (Print)9783031817236
DOIs
StatePublished - 2025
Event16th APCA International Conference on Automatic Control and Soft Computing, CONTROLO 2024 - Porto, Portugal
Duration: Jul 17 2024Jul 19 2024

Publication series

NameLecture Notes in Electrical Engineering
Volume1325 LNEE
ISSN (Print)1876-1100
ISSN (Electronic)1876-1119

Conference

Conference16th APCA International Conference on Automatic Control and Soft Computing, CONTROLO 2024
Country/TerritoryPortugal
CityPorto
Period07/17/2407/19/24

Bibliographical note

Publisher Copyright:
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.

ASJC Scopus subject areas

  • Industrial and Manufacturing Engineering

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