One-dimensional, non-local, first-order, stationary mean-field games with congestion: a Fourier approach

Handle URI:
http://hdl.handle.net/10754/626533
Title:
One-dimensional, non-local, first-order, stationary mean-field games with congestion: a Fourier approach
Authors:
Nurbekyan, Levon
Abstract:
Here, we study a one-dimensional, non-local mean-field game model with congestion. When the kernel in the non-local coupling is a trigonometric polynomial we reduce the problem to a finite dimensional system. Furthermore, we treat the general case by approximating the kernel with trigonometric polynomials. Our technique is based on Fourier expansion methods.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Publisher:
arXiv
Issue Date:
11-Mar-2017
ARXIV:
arXiv:1703.03954
Type:
Preprint
Additional Links:
http://arxiv.org/abs/1703.03954v1; http://arxiv.org/pdf/1703.03954v1
Appears in Collections:
Other/General Submission; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorNurbekyan, Levonen
dc.date.accessioned2017-12-28T07:32:15Z-
dc.date.available2017-12-28T07:32:15Z-
dc.date.issued2017-03-11en
dc.identifier.urihttp://hdl.handle.net/10754/626533-
dc.description.abstractHere, we study a one-dimensional, non-local mean-field game model with congestion. When the kernel in the non-local coupling is a trigonometric polynomial we reduce the problem to a finite dimensional system. Furthermore, we treat the general case by approximating the kernel with trigonometric polynomials. Our technique is based on Fourier expansion methods.en
dc.publisherarXiven
dc.relation.urlhttp://arxiv.org/abs/1703.03954v1en
dc.relation.urlhttp://arxiv.org/pdf/1703.03954v1en
dc.rightsArchived with thanks to arXiven
dc.titleOne-dimensional, non-local, first-order, stationary mean-field games with congestion: a Fourier approachen
dc.typePreprinten
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.eprint.versionPre-printen
dc.identifier.arxividarXiv:1703.03954en
kaust.authorNurbekyan, Levonen
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