Explicit solutions of one-dimensional, first-order, stationary mean-field games with congestion

Diogo A. Gomes, Levon Nurbekyan, Mariana Prazeres

Research output: Chapter in Book/Report/Conference proceedingConference contribution

18 Scopus citations


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.
Original languageEnglish (US)
Title of host publication2016 IEEE 55th Conference on Decision and Control (CDC)
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Number of pages6
ISBN (Print)9781509018376
StatePublished - Jan 5 2017

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: This work was partially supported by KAUST baseline and start- up funds and KAUST SRI, Uncertainty Quantification Center in Computational Science and Engineering.


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