A Cucker-Smale inspired deterministic mean field game with velocity interactions
Analysis of PDEs
2020-09-17 v1 Optimization and Control
Abstract
We introduce a mean field game model for pedestrians moving in a given domain and choosing their trajectories so as to minimize a cost including a penalization on the difference between their own velocity and that of the other agents they meet. We prove existence of an equilibrium in a Lagrangian setting by using its variational structure, and then study its properties and regularity.
Keywords
Cite
@article{arxiv.2009.07519,
title = {A Cucker-Smale inspired deterministic mean field game with velocity interactions},
author = {Filippo Santambrogio and Woojoo Shim},
journal= {arXiv preprint arXiv:2009.07519},
year = {2020}
}