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 …
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 …
establish the corresponding limit theory as well as the equivalence between different …
Moral hazard in dynamic risk management
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 …
project. When the agent chooses volatility components of the output process and the …
Nonlinear Lévy processes and their characteristics
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 …
More precisely, given a set $\Theta $ of Lévy triplets, we construct a sublinear expectation …
Robust fundamental theorem for continuous processes
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 …
uncertainty, modeled via a family of possible physical measures. A robust notion of no …
Mean–field moral hazard for optimal energy demand response management
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 …
impact of considering a continuum of consumers with mean–field interaction, whose …
Robust utility maximization with Lévy processes
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 …
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
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 …
our problem of interest consists in the optimization, over a set of possibly nondominated …
Sensitivity of robust optimization problems under drift and volatility uncertainty
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 …
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 …
(MFG) and mean field control (MFC) problem where the cost function and the state dynamics …