Accepted Paper

Inserted: 15 sep 2020
Last Updated: 18 jul 2021

Journal: SIAM J. Contr. Opt.
Year: 2021

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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