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

Handle URI:
http://hdl.handle.net/10754/622700
Title:
Explicit solutions of one-dimensional, first-order, stationary mean-field games with congestion
Authors:
Gomes, Diogo A. ( 0000-0002-3129-3956 ) ; Nurbekyan, Levon; Prazeres, Mariana
Abstract:
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.
KAUST Department:
Center for Uncertainty Quantification in Computational Science and Engineering (SRI-UQ); Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Gomes 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.
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
2016 IEEE 55th Conference on Decision and Control (CDC)
Issue Date:
5-Jan-2017
DOI:
10.1109/CDC.2016.7798959
Type:
Conference Paper
Sponsors:
This work was partially supported by KAUST baseline and start- up funds and KAUST SRI, Uncertainty Quantification Center in Computational Science and Engineering.
Additional Links:
http://ieeexplore.ieee.org/document/7798959/
Appears in Collections:
Conference Papers; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorGomes, Diogo A.en
dc.contributor.authorNurbekyan, Levonen
dc.contributor.authorPrazeres, Marianaen
dc.date.accessioned2017-01-19T09:08:27Z-
dc.date.available2017-01-19T09:08:27Z-
dc.date.issued2017-01-05en
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.en
dc.identifier.doi10.1109/CDC.2016.7798959en
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.en
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.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.relation.urlhttp://ieeexplore.ieee.org/document/7798959/en
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.en
dc.subjectFaceen
dc.subjectGamesen
dc.subjectMathematical modelen
dc.subjectSociologyen
dc.subjectStatisticsen
dc.subjectUncertaintyen
dc.subjectViscosityen
dc.titleExplicit solutions of one-dimensional, first-order, stationary mean-field games with congestionen
dc.typeConference Paperen
dc.contributor.departmentCenter for Uncertainty Quantification in Computational Science and Engineering (SRI-UQ)en
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journal2016 IEEE 55th Conference on Decision and Control (CDC)en
dc.eprint.versionPost-printen
kaust.authorGomes, Diogo A.en
kaust.authorNurbekyan, Levonen
kaust.authorPrazeres, Marianaen
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.