A fractional micro-macro model for crowds of pedestrians based on fractional mean field games

From a very young age, we’re warned against shouting “Fire!” in a crowded theater. The possibility of inciting mass panic presents an obvious moral problem. But for researchers, the situation also presents an interesting mathematical problem: How do large crowds of people behave in emergency situations? While many have turned to classical physics and calculus…

A fractional micro-macro model for crowds of pedestrians based on fractional mean field games

From a very young age, we’re warned against shouting “Fire!” in a crowded theater. The possibility of inciting mass panic presents an obvious moral problem. But for researchers, the situation also presents an interesting mathematical problem: How do large crowds of people behave in emergency situations? While many have turned to classical physics and calculus…