Mean field game of controls and an application to trade crowding

P Cardaliaguet, CA Lehalle - Mathematics and Financial Economics, 2018 - Springer
In this paper we formulate the now classical problem of optimal liquidation (or optimal
trading) inside a mean field game (MFG). This is a noticeable change since usually …

[LIBRO][B] Regularity theory for mean-field game systems

DA Gomes, EA Pimentel, V Voskanyan - 2016 - Springer
This book brings together several recent developments on the regularity theory for mean-
field game systems. We detail several classes of methods and present a concise overview of …

-Nash Mean Field Game Theory for Nonlinear Stochastic Dynamical Systems with Major and Minor Agents

M Nourian, PE Caines - SIAM Journal on Control and Optimization, 2013 - SIAM
This paper studies large population dynamic games involving nonlinear stochastic
dynamical systems with agents of the following mixed types:(i) a major agent and (ii) a …

Decentralized convergence to Nash equilibria in constrained deterministic mean field control

S Grammatico, F Parise, M Colombino… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
This paper considers decentralized control and optimization methodologies for large
populations of systems, consisting of several agents with different individual behaviors …

A machine learning method for Stackelberg mean field games

G Dayanıklı, M Laurière - Mathematics of Operations …, 2024 - pubsonline.informs.org
We propose a single-level numerical approach to solve Stackelberg mean field game (MFG)
problems. In the Stackelberg MFG, an infinite population of agents plays a noncooperative …

Linear quadratic risk-sensitive and robust mean field games

J Moon, T Başar - IEEE Transactions on Automatic Control, 2016 - ieeexplore.ieee.org
This paper considers two classes of large population stochastic differential games
connected to optimal and robust decentralized control of large-scale multiagent systems …

Leader‐following mean square consensus of stochastic multi‐agent systems with input delay via event‐triggered control

X Tan, J Cao, X Li, A Alsaedi - IET Control Theory & …, 2018 - Wiley Online Library
This paper addresses the mean square consensus problem of leader‐following stochastic
multi‐agent systems using a distributed event‐triggered control strategy. For each involving …

Mean-field-type games in engineering

B Djehiche, A Tcheukam, H Tembine - arxiv preprint arxiv:1605.03281, 2016 - arxiv.org
A mean-field-type game is a game in which the instantaneous payoffs and/or the state
dynamics functions involve not only the state and the action profile but also the joint …

Mean field games for large-population multiagent systems with Markov jump parameters

BC Wang, JF Zhang - SIAM Journal on Control and Optimization, 2012 - SIAM
In this paper, distributed games for large-population multiagent systems with random time-
varying parameters are investigated, where the agents are coupled via their individual costs …

Nash, social and centralized solutions to consensus problems via mean field control theory

M Nourian, PE Caines, RP Malhame… - IEEE Transactions on …, 2012 - ieeexplore.ieee.org
The purpose of this paper is to synthesize initial mean consensus behavior of a set of agents
from the fundamental optimization principles of i) stochastic dynamic games, and ii) optimal …