On the convergence of closed-loop Nash equilibria to the mean field game limit

D Lacker - The Annals of Applied Probability, 2020 - JSTOR
This paper continues the study of the mean field game (MFG) convergence problem: In what
sense do the Nash equilibria of n-player stochastic differential games converge to the mean …

McKean–Vlasov optimal control: limit theory and equivalence between different formulations

MF Djete, D Possamaï, X Tan - Mathematics of Operations …, 2022 - pubsonline.informs.org
We study a McKean–Vlasov optimal control problem with common noise in order to
establish the corresponding limit theory as well as the equivalence between different …

Moral hazard in dynamic risk management

J Cvitanić, D Possamaï, N Touzi - Management Science, 2017 - pubsonline.informs.org
We consider a contracting problem in which a principal hires an agent to manage a risky
project. When the agent chooses volatility components of the output process and the …

Nonlinear Lévy processes and their characteristics

A Neufeld, M Nutz - Transactions of the American Mathematical Society, 2017 - ams.org
We develop a general construction for nonlinear Lévy processes with given characteristics.
More precisely, given a set $\Theta $ of Lévy triplets, we construct a sublinear expectation …

Robust fundamental theorem for continuous processes

S Biagini, B Bouchard, C Kardaras… - Mathematical …, 2017 - Wiley Online Library
We study a continuous‐time financial market with continuous price processes under model
uncertainty, modeled via a family of possible physical measures. A robust notion of no …

Mean–field moral hazard for optimal energy demand response management

R Elie, E Hubert, T Mastrolia… - Mathematical Finance, 2021 - Wiley Online Library
We study the problem of demand response contracts in electricity markets by quantifying the
impact of considering a continuum of consumers with mean–field interaction, whose …

Robust utility maximization with Lévy processes

A Neufeld, M Nutz - Mathematical Finance, 2018 - Wiley Online Library
We study a robust portfolio optimization problem under model uncertainty for an investor
with logarithmic or power utility. The uncertainty is specified by a set of possible Lévy triplets …

Stochastic control for a class of nonlinear kernels and applications

D Possamaï, X Tan, C Zhou - The Annals of Probability, 2018 - JSTOR
We consider a stochastic control problem for a class of nonlinear kernels. More precisely,
our problem of interest consists in the optimization, over a set of possibly nondominated …

Sensitivity of robust optimization problems under drift and volatility uncertainty

D Bartl, A Neufeld, K Park - arXiv preprint arXiv:2311.11248, 2023 - arxiv.org
We examine optimization problems in which an investor has the opportunity to trade in $ d $
stocks with the goal of maximizing her worst-case cost of cumulative gains and losses. Here …

Large population games with interactions through controls and common noise: convergence results and equivalence between open-loop and closed-loop controls

MF Djete - ESAIM: Control, Optimisation and Calculus of …, 2023 - esaim-cocv.org
In the presence of a common noise, we study the convergence problems in mean field game
(MFG) and mean field control (MFC) problem where the cost function and the state dynamics …