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 …
trading) inside a mean field game (MFG). This is a noticeable change since usually …
[LIBRO][B] Regularity theory for mean-field game systems
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 …
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
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 …
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
This paper considers decentralized control and optimization methodologies for large
populations of systems, consisting of several agents with different individual behaviors …
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 …
problems. In the Stackelberg MFG, an infinite population of agents plays a noncooperative …
Linear quadratic risk-sensitive and robust mean field games
This paper considers two classes of large population stochastic differential games
connected to optimal and robust decentralized control of large-scale multiagent systems …
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
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 …
multi‐agent systems using a distributed event‐triggered control strategy. For each involving …
Mean-field-type games in engineering
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 …
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 …
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
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 …
from the fundamental optimization principles of i) stochastic dynamic games, and ii) optimal …