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 …

Multi-population mean field games with multiple major players: Application to carbon emission regulations

G Dayanikli, M Lauriere - 2024 American Control Conference …, 2024 - ieeexplore.ieee.org
In this paper, we propose and study a mean field game model with multiple populations of
minor players and multiple major players, motivated by applications to the regulation of …

Learning Discrete-Time Major-Minor Mean Field Games

K Cui, G Dayanıklı, M Laurière, M Geist… - Proceedings of the …, 2024 - ojs.aaai.org
Recent techniques based on Mean Field Games (MFGs) allow the scalable analysis of multi-
player games with many similar, rational agents. However, standard MFGs remain limited to …

A machine learning method for Stackelberg mean field games

G Dayanikli, M Lauriere - arXiv preprint arXiv:2302.10440, 2023 - arxiv.org
In this paper, we propose a single-level numerical approach that uses machine learning
techniques to solve bi-level Stackelberg problems between a principal and a mean field of …

Neural Operators Can Play Dynamic Stackelberg Games

G Alvarez, I Ekren, A Kratsios, X Yang - arXiv preprint arXiv:2411.09644, 2024 - arxiv.org
Dynamic Stackelberg games are a broad class of two-player games in which the leader acts
first, and the follower chooses a response strategy to the leader's strategy. Unfortunately …

Machine Learning Methods for Large Population Games with Applications in Operations Research

G Dayanıklı, M Laurière - Tutorials in Operations Research …, 2024 - pubsonline.informs.org
In this tutorial, we provide an introduction to machine learning methods for finding Nash
equilibria in games with a large number of agents. These types of problems are important for …

How can the tragedy of the commons be prevented?: Introducing Linear Quadratic Mixed Mean Field Games

G Dayanikli, M Lauriere - arXiv preprint arXiv:2409.08235, 2024 - arxiv.org
In a regular mean field game (MFG), the agents are assumed to be insignificant, they do not
realize their effect on the population level and this may result in a phenomenon coined as …

Conservation laws of mean field games equations

R Kozlov - arXiv preprint arXiv:2305.06871, 2023 - arxiv.org
Mean field games equations are examined for conservation laws. The system of mean field
games equations consists of two partial differential equations: the Hamilton-Jacobi-Bellman …

A Stackelberg Mean Field Game for Green Regulator with a Large Number of Prosumers

M Bichuch, G Dayanıklı, M Lauriere - Available at SSRN 4985557, 2024 - papers.ssrn.com
We model a Stackelberg game in a power market with rational consumers and a benevolent
regulator as a meanfield game. The Stackelberg leader, who is a government regulator, sets …

Mean Field Models with Heterogeneous Agents: Extensions and Learning

G Dayanıklı - 2022 - search.proquest.com
We first study the extensions of mean field game and control models with heterogenous
players (ie, major players) with applications to socioeconomic problems. Later, in order to …