McKean–Vlasov optimal control: the dynamic programming principle
MF Djete, D Possamaï, X Tan - The Annals of Probability, 2022 - projecteuclid.org
We study the McKean–Vlasov optimal control problem with common noise which allow the
law of the control process to appear in the state dynamics under various formulations: strong …
law of the control process to appear in the state dynamics under various formulations: strong …
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 …
Stability of McKean–Vlasov stochastic differential equations and applications
K Bahlali, MA Mezerdi, B Mezerdi - Stochastics and Dynamics, 2020 - World Scientific
We consider McKean–Vlasov stochastic differential equations (MVSDEs), which are SDEs
where the drift and diffusion coefficients depend not only on the state of the unknown …
where the drift and diffusion coefficients depend not only on the state of the unknown …
Diffusion control and games
J Wendt - 2023 - db-thueringen.de
In this thesis, we consider stochastic control problems and stochastic differential games in
which controllers or players control the diffusion intensities of their individual state …
which controllers or players control the diffusion intensities of their individual state …
The role of correlation in diffusion control ranking games
S Ankirchner, N Kazi-Tani, J Wendt - SIAM Journal on Control and …, 2024 - SIAM
This paper studies two-player stochastic differential games with diffusion control on finite
time horizons. The players' state processes are described in terms of controlled martingale …
time horizons. The players' state processes are described in terms of controlled martingale …
Compactification in optimal control of McKean‐Vlasov stochastic differential equations
MA Mezerdi - Optimal Control Applications and Methods, 2021 - Wiley Online Library
We study existence and approximation of optimal controls for systems governed by McKean‐
Vlasov stochastic differential equations. It is well known in simple examples that in the …
Vlasov stochastic differential equations. It is well known in simple examples that in the …
Necessary and sufficient conditions in optimal control of mean-field stochastic differential equations with infinite horizon
A Roubi, MA Mezerdi - Random Operators and Stochastic Equations, 2022 - degruyter.com
We consider an infinite horizon optimal control of a system where the dynamics evolve
according to a mean-field stochastic differential equation and the cost functional is also of …
according to a mean-field stochastic differential equation and the cost functional is also of …
On the maximum principle for relaxed control problems of nonlinear stochastic systems
M Mezerdi, B Mezerdi - Advances in Continuous and Discrete Models, 2024 - Springer
We consider optimal control problems for a system governed by a stochastic differential
equation driven by a d-dimensional Brownian motion where both the drift and the diffusion …
equation driven by a d-dimensional Brownian motion where both the drift and the diffusion …
Existence of optimal controls for stochastic Volterra equations
We provide sufficient conditions that guarantee the existence of relaxed optimal controls in
the weak formulation of control problems for stochastic Volterra equations (SVEs). Our study …
the weak formulation of control problems for stochastic Volterra equations (SVEs). Our study …
On optimal control of coupled mean-field forward-backward stochastic equations
B Mansouri, B Mezerdi, K Bahlali - Random Operators and …, 2024 - degruyter.com
We consider a control problem for a mean-field coupled forward-backward stochastic
differential equations, called also McKean–Vlasov equation (MF-FBSDE). For this type of …
differential equations, called also McKean–Vlasov equation (MF-FBSDE). For this type of …