| Abstract: |
| This talk will review some recent results on a class of (anonymous) mean-field type control and game models for pedestrian crowds. The considered crowd models include a nonlocal aversion feature and arbitrarily but finitely many interacting crowds. The nonlocal aversion feature grants pedestrians a `personal space` where crowding is undesirable. The model is treated as a mean-field type game which is shown to be derived from a particle picture. Solutions to the mean-field type game are characterized via a Pontryagin-type Maximum Principle. The behavior of a crowd acting under nonlocal preferences is illustrated by numerical simulations. Extensions that include evacuation strategies and service planning, where anonymity is relaxed, and sticky boundary behavior will also be mentioned. |
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