Mean field games

PE Caines - Encyclopedia of systems and control, 2021 - Springer
The notion of the infinite population limit of large population games where agents are
realized by controlled stochastic dynamical systems is introduced. The theory of infinite …

Learning deep mean field games for modeling large population behavior

J Yang, X Ye, R Trivedi, H Xu, H Zha - arXiv preprint arXiv:1711.03156, 2017 - arxiv.org
We consider the problem of representing collective behavior of large populations and
predicting the evolution of a population distribution over a discrete state space. A discrete …

Effect of the media on the opinion dynamics in online social networks

T Li, H Zhu - Physica A: Statistical Mechanics and its Applications, 2020 - Elsevier
The media plays an important role in the process of opinion evolution. It can promote the
spread of opinions and make netizens reach consensus towards the specific topic. To study …

Modeling and analysis of opinion dynamics in social networks using multiple-population mean field games

RA Banez, H Gao, L Li, C Yang, Z Han… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
The dominanceof social networks has advanced immensely as many users become more
dependent on these networks to be able to engage on social discussions and activities. The …

Opinion dynamics with Bayesian learning

A Fang, K Yuan, J Geng, X Wei - Complexity, 2020 - Wiley Online Library
Bayesian learning is a rational and effective strategy in the opinion dynamic process. In this
paper, we theoretically prove that individual Bayesian learning can realize asymptotic …

Continuous-time opinion dynamics with stochastic multiplicative noises

H Liang, H Su, Y Wang, C Peng, M Fei… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
Recently, the study of opinion dynamics on complex networks has attracted a great deal of
attention. In this brief, we take an interest in how an opinion forms in a social network with …

Social structure description of epidemic propagation with a mean-field game paradigm

L Bremaud, D Ullmo - Physical Review E, 2022 - APS
As emphasized by the recent pandemic crisis, the design of coherent policies against
epidemic propagation is of major importance and required to model both epidemic …

Climb on the Bandwagon: Consensus and periodicity in a lifetime utility model with strategic interactions

P Dai Pra, E Sartori, M Tolotti - Dynamic Games and Applications, 2019 - Springer
What is the emergent long-run equilibrium of a society, where many interacting agents bet
on the optimal energy to put in place in order to climb on the Bandwagon? In this paper, we …

Mean Field Game Approach to Non-Pharmaceutical Interventions in a Social Structure model of Epidemics

L Bremaud, O Giraud, D Ullmo - arXiv preprint arXiv:2404.08758, 2024 - arxiv.org
The design of coherent and efficient policies to address infectious diseases and their
consequences requires to model not only epidemics dynamics, but also individual …

Multi-population opinion dynamics model

T Bakaryan, Y Gu, N Hovakimyan, T Abdelzaher… - arXiv preprint arXiv …, 2023 - arxiv.org
We introduce multi-population opinion dynamics models linked to the bounded confidence
model, aiming to explore how interactions between individuals contribute to the emergence …