Existence for stationary mean-field games with congestion and quadratic Hamiltonians

Handle URI:
http://hdl.handle.net/10754/594122
Title:
Existence for stationary mean-field games with congestion and quadratic Hamiltonians
Authors:
Gomes, Diogo A. ( 0000-0002-3129-3956 ) ; Mitake, Hiroyoshi
Abstract:
Here, we investigate the existence of solutions to a stationary mean-field game model introduced by J.-M. Lasry and P.-L. Lions. This model features a quadratic Hamiltonian and congestion effects. The fundamental difficulty of potential singular behavior is caused by congestion. Thanks to a new class of a priori bounds, combined with the continuation method, we prove the existence of smooth solutions in arbitrary dimensions. © 2015 Springer Basel
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Center for Uncertainty Quantification in Computational Science and Engineering (SRI-UQ)
Citation:
Gomes DA, Mitake H (2015) Existence for stationary mean-field games with congestion and quadratic Hamiltonians. Nonlinear Differential Equations and Applications NoDEA. Available: http://dx.doi.org/10.1007/s00030-015-0349-7.
Publisher:
Springer Science + Business Media
Journal:
Nonlinear Differential Equations and Applications NoDEA
Issue Date:
3-Sep-2015
DOI:
10.1007/s00030-015-0349-7
Type:
Article
ISSN:
1021-9722; 1420-9004
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorGomes, Diogo A.en
dc.contributor.authorMitake, Hiroyoshien
dc.date.accessioned2016-01-19T13:22:06Zen
dc.date.available2016-01-19T13:22:06Zen
dc.date.issued2015-09-03en
dc.identifier.citationGomes DA, Mitake H (2015) Existence for stationary mean-field games with congestion and quadratic Hamiltonians. Nonlinear Differential Equations and Applications NoDEA. Available: http://dx.doi.org/10.1007/s00030-015-0349-7.en
dc.identifier.issn1021-9722en
dc.identifier.issn1420-9004en
dc.identifier.doi10.1007/s00030-015-0349-7en
dc.identifier.urihttp://hdl.handle.net/10754/594122en
dc.description.abstractHere, we investigate the existence of solutions to a stationary mean-field game model introduced by J.-M. Lasry and P.-L. Lions. This model features a quadratic Hamiltonian and congestion effects. The fundamental difficulty of potential singular behavior is caused by congestion. Thanks to a new class of a priori bounds, combined with the continuation method, we prove the existence of smooth solutions in arbitrary dimensions. © 2015 Springer Baselen
dc.publisherSpringer Science + Business Mediaen
dc.subjectCongestionen
dc.subjectMean-field gamesen
dc.subjectQuadratic Hamiltoniansen
dc.titleExistence for stationary mean-field games with congestion and quadratic Hamiltoniansen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentCenter for Uncertainty Quantification in Computational Science and Engineering (SRI-UQ)en
dc.identifier.journalNonlinear Differential Equations and Applications NoDEAen
dc.contributor.institutionInstitute for Sustainable Sciences and Development, Hiroshima University, 1-4-1 Kagamiyama, Higashi-Hiroshima, Japanen
kaust.authorGomes, Diogo A.en
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.