activity
20092022
most citedHomogenization of a transmission problem with Hamilton-Jacobi equations and a two-scale interface. Effective transmission conditions

4 citations · 13 across the 20 of their papers we have counts for

collaborators

24 papers

math.AP2022

Homogenization of some periodic Hamilton-Jacobi equations with defects

Yves Achdou, Claude Le Bris

We study homogenization for a class of stationnary Hamilton-Jacobi equations in which the Hamiltonian is obtained by perturbing near the origin an otherwise periodic Hamiltonian. W…

math.AP2022

Simulating numerically the Krusell-Smith model with neural networks

Yves Achdou, Jean-Michel Lasry, Pierre Louis Lions

The celebrated Krusel-Smith growth model is an important example of a Mean Field Game with a common noise. The Mean Field Game is encoded in the master equation, a partial differen…

math.OC2022

A simple city equilibrium model with an application to teleworking

Yves Achdou, Guillaume Carlier, Quentin Petit +1

We propose a simple semi-discrete spatial model where rents, wages and the density of population in a city can be deduced from free-mobility and equilibrium conditions on the labou…

math.OC2022

First order Mean Field Games on networks

Yves Achdou, Paola Mannucci, Claudio Marchi +1

This paper is devoted to finite horizon deterministic mean field games in which the state space is a network. The agents control their velocity, and when they occupy a vertex, they…

math.AP2021

Deterministic mean field games with control on the acceleration and state constraints

Yves Achdou, Paola Mannucci, Claudio Marchi +1

We consider deterministic mean field games in which the agents control their acceleration and are constrained to remain in a domain of R n. We study relaxed equilibria in the Lagra…

math.OC2020

Mean Field Games and Applications: Numerical Aspects

Yves Achdou, Mathieu Laurière

The theory of mean field games aims at studying deterministic or stochastic differential games (Nash equilibria) as the number of agents tends to infinity. Since very few mean fiel…