A regularized stationary mean-field game

Handle URI:
http://hdl.handle.net/10754/607757
Title:
A regularized stationary mean-field game
Authors:
Yang, Xianjin ( 0000-0002-1368-3643 )
Abstract:
In the thesis, we discuss the existence and numerical approximations of solutions of a regularized mean-field game with a low-order regularization. In the first part, we prove a priori estimates and use the continuation method to obtain the existence of a solution with a positive density. Finally, we introduce the monotone flow method and solve the system numerically.
Advisors:
Gomes, Diogo A. ( 0000-0002-3129-3956 )
Committee Member:
Tzavaras, Athanasios ( 0000-0002-1896-2270 ) ; Shamma, Jeff S. ( 0000-0001-5638-9551 )
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Applied Mathematics and Computational Science Program
Program:
Applied Mathematics and Computational Science
Issue Date:
19-Apr-2016
Type:
Thesis
Appears in Collections:
Applied Mathematics and Computational Science Program; Theses; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.advisorGomes, Diogo A.en
dc.contributor.authorYang, Xianjinen
dc.date.accessioned2016-05-05T07:21:50Zen
dc.date.available2016-05-03T12:14:36Zen
dc.date.available2016-05-05T07:21:50Zen
dc.date.issued2016-04-19en
dc.identifier.urihttp://hdl.handle.net/10754/607757en
dc.description.abstractIn the thesis, we discuss the existence and numerical approximations of solutions of a regularized mean-field game with a low-order regularization. In the first part, we prove a priori estimates and use the continuation method to obtain the existence of a solution with a positive density. Finally, we introduce the monotone flow method and solve the system numerically.en
dc.language.isoenen
dc.subjectMean field gamesen
dc.subjectcontinuation methoden
dc.subjectmonotone flowen
dc.subjectenergy methoden
dc.subjectregularityen
dc.subjectStationaryen
dc.titleA regularized stationary mean-field gameen
dc.typeThesisen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
thesis.degree.grantorKing Abdullah University of Science and Technologyen_GB
dc.contributor.committeememberTzavaras, Athanasiosen
dc.contributor.committeememberShamma, Jeff S.en
thesis.degree.disciplineApplied Mathematics and Computational Scienceen
thesis.degree.nameMaster of Scienceen
dc.person.id133543en

Version History

VersionItem Editor Date Summary
2 10754/607757BAESSAM2016-05-04 12:44:45.0request from Aida to replace the early submitted file
1 10754/607757.1aida hoteit2016-05-03 13:14:36.0null
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