Calculus of Variations and Geometric Measure Theory
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F. Santambrogio - W. Shim

A Cucker-Smale inspired deterministic Mean Field Game with velocity interactions

created by santambro on 15 Sep 2020

[BibTeX]

Preprint

Inserted: 15 sep 2020
Last Updated: 15 sep 2020

Year: 2020

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.


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