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20072025
most citedMean-field backward stochastic differential equations: A limit approach

322 citations · 403 across the 40 of their papers we have counts for

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19 papers · 1 filter

math.OC2025

Discrete time stochastic impulse control with delay

Said Hamadène, Boualem Djehiche

We study a class of infinite-horizon impulse control problems with execution delay in discrete time. Using probabilistic methods, particularly the notion of the Snell envelope of p…

math.OC2024

Continuous time Stochastic optimal control under discrete time partial observations

Christian Bayer, Boualem Djehiche, Eliza Rezvanova +1

This work addresses stochastic optimal control problems where the unknown state evolves in continuous time while partial, noisy, and possibly controllable measurements are only ava…

math.OC2022

Stability Via Adversarial Training of Neural Network Stochastic Control of Mean-Field Type

Julian Barreiro-Gomez, Salah Eddine Choutri, Boualem Djehiche

In this paper, we present an approach to neural network mean-field-type control and its stochastic stability analysis by means of adversarial inputs (aka adversarial attacks). This…

math.OC2022

Zero-sum mean-field Dynkin games: characterization and convergence

Boualem Djehiche, Roxana Dumitrescu

We introduce a zero-sum game problem of mean-field type as an extension of the classical zero-sum Dynkin game problem to the case where the payoff processes might depend on the val…

math.OC2020

Optimal portfolio choice with path dependent benchmarked labor income: a mean field model

Boualem Djehiche, Fausto Gozzi, Giovanni Zanco +1

We consider the life-cycle optimal portfolio choice problem faced by an agent receiving labor income and allocating her wealth to risky assets and a riskless bond subject to a borr…

math.OC2019

Behavior near walls in the mean-field approach to crowd dynamics

Alexander Aurell, Boualem Djehiche

This paper introduces a system of stochastic differential equations (SDE) of mean-field type that models pedestrian motion. The system lets the pedestrians spend time at, and move…

math.OC2018

Modeling tagged pedestrian motion: a mean-field type game approach

Alexander Aurell, Boualem Djehiche

This paper suggests a model for the motion of tagged pedestrians: pedestrians moving towards a specified targeted destination, which they are forced to reach. It aims to be a decis…

math.OC2017

Risk-Sensitive Mean-Field-Type Control

Alain Bensoussan, Boualem Djehiche, Hamidou Tembine +1

We study risk-sensitive optimal control of a stochastic differential equation (SDE) of mean-field type, where the coefficients are allowed to depend on some functional of the law a…

math.OC2017

Mean-field type modeling of nonlocal crowd aversion in pedestrian crowd dynamics

Alexander Aurell, Boualem Djehiche

We extend the class of pedestrian crowd models introduced by Lachapelle and Wolfram (2011) to allow for nonlocal crowd aversion and arbitrarily but finitely many interacting crowds…

math.OC2016★ 1 cited

Optimal control and zero-sum games for Markov chains of mean-field type

Salah Eddine Choutri, Boualem Djehiche, Hamidou Tembine

We establish existence of Markov chains of mean-field type with unbounded jump intensities by means of a fixed point argument using the Total Variation distance. We further show ex…

math.OC2016

Mean-Field-Type Games in Engineering

Boualem Djehiche, Alain Tcheukam, Hamidou Tembine

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 distrib…

math.OC2015★ 4 cited

The Principal-Agent Problem With Time Inconsistent Utility Functions

Boualem Djehiche, Peter Helgesson

In this paper we study a generalization of the continuous time Principal-Agent problem allowing for time inconsistent utility functions, for instance of mean-variance type. Using r…

math.OC2014★ 1 cited

On the Solvability of Risk-Sensitive Linear-Quadratic Mean-Field Games

Djehiche Boualem, Tembine Hamidou

In this paper we formulate and solve a mean-field game described by a linear stochastic dynamics and a quadratic or exponential-quadratic cost functional for each generic player. T…

math.OC2014

Risk-Sensitive Mean-Field Type Control under Partial Observation

Boualem Djehiche, Hamidou Tembine

We establish a stochastic maximum principle (SMP) for control problems of partially observed diffusions of mean-field type with risk-sensitive performance functionals.

math.OC2014★ 4 cited

The Principal-Agent Problem; A Stochastic Maximum Principle Approach

Boualem Djehiche, Peter Helgesson

We study a general class of Principal-Agent problems in continuous time under hidden action. By formulating the model as a coupled stochastic optimal control problem we are able to…

math.OC2014★ 14 cited

Mean-Field Games for Marriage

Dario Bauso, Ben Mansour Dia, Boualem Djehiche +2

This article examines mean-field games for marriage. The results support the argument that optimizing the long-term well-being through effort and social feeling state distribution…

math.OC2014

A Stochastic Maximum Principle for Risk-Sensitive Mean-Field Type Control

Boualem Djehiche, Hamidou Tembine, Raul Tempone

In this paper we study mean-field type control problems with risk-sensitive performance functionals. We establish a stochastic maximum principle (SMP) for optimal control of stocha…

math.OC2014★ 2 cited

A characterization of sub-game perfect Nash equilibria for SDEs of mean field type

Boualem Djehiche, Minyi Huang

We study a class of dynamic decision problems of mean field type with time inconsistent cost functionals, and derive a stochastic maximum principle to characterize subgame perfect…

math.OC2007★ 1 cited

A maximum principle for relaxed stochastic control of linear SDE's with application to bond portfolio optimization

Daniel Andersson, Boualem Djehiche

We study relaxed stochastic control problems where the state equation is a one dimensional linear stochastic differential equation with random and unbounded coefficients. The two m…