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dc.contributor.authorGomes, Diogo A.
dc.contributor.authorNurbekyan, Levon
dc.contributor.authorPrazeres, Mariana
dc.date.accessioned2017-01-19T09:08:27Z
dc.date.available2017-01-19T09:08:27Z
dc.date.issued2017-01-05
dc.identifier.citationGomes DA, Nurbekyan L, Prazeres M (2016) Explicit solutions of one-dimensional, first-order, stationary mean-field games with congestion. 2016 IEEE 55th Conference on Decision and Control (CDC). Available: http://dx.doi.org/10.1109/CDC.2016.7798959.
dc.identifier.doi10.1109/CDC.2016.7798959
dc.identifier.urihttp://hdl.handle.net/10754/622700
dc.description.abstractHere, 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.
dc.description.sponsorshipThis work was partially supported by KAUST baseline and start- up funds and KAUST SRI, Uncertainty Quantification Center in Computational Science and Engineering.
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)
dc.relation.urlhttp://ieeexplore.ieee.org/document/7798959/
dc.rights(c) 2016 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.
dc.subjectFace
dc.subjectGames
dc.subjectMathematical model
dc.subjectSociology
dc.subjectStatistics
dc.subjectUncertainty
dc.subjectViscosity
dc.titleExplicit solutions of one-dimensional, first-order, stationary mean-field games with congestion
dc.typeConference Paper
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentCenter for Uncertainty Quantification in Computational Science and Engineering (SRI-UQ)
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journal2016 IEEE 55th Conference on Decision and Control (CDC)
dc.eprint.versionPost-print
kaust.personGomes, Diogo A.
kaust.personNurbekyan, Levon
kaust.personPrazeres, Mariana
refterms.dateFOA2018-06-13T13:12:34Z
dc.date.published-online2017-01-05
dc.date.published-print2016-12


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