Explicit Solutions of One-dimensional, First-order, Stationary Mean-Field Games with Congestion
Diogo A. Gomes ; Levon Nurbekyan ; Mariana Prazeres
Here, we consider one-dimensional first-order stationary mean-field games with congestion. These games arise when crowds face difficulty moving in high-density regions. We look at both monotone decreasing and increasing interactions and construct explicit solutions using the current formulation. We observe new phenomena such as discontinuities, unhappiness traps and the non-existence of solutions.
