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تسجيل مستخدم جديدA Cucker-Smale inspired deterministic mean field game with velocity interactions
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تأليف
Filippo Santambrogio
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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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