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EXPLICIT SOLUTIONS OF ONE-DIMENSIONAL, FIRST-ORDER, STATIONARY MEAN-FIELD GAMES WITH CONGESTION
Conference proceeding

EXPLICIT SOLUTIONS OF ONE-DIMENSIONAL, FIRST-ORDER, STATIONARY MEAN-FIELD GAMES WITH CONGESTION

Diogo A. Gomes, Levon Nurbekyan, Mariana Prazeres and IEEE
2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC), pp.4534-4539
IEEE Conference on Decision and Control
01/01/2016

Abstract

Automation & Control Systems Engineering Engineering, Electrical & Electronic Operations Research & Management Science Science & Technology Technology
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 nonexistence of solutions.

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