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dc.contributor.advisorGomes, Diogo A.
dc.contributor.authorYang, Xianjin
dc.date.accessioned2016-05-05T07:21:50Z
dc.date.available2016-05-03T12:14:36Z
dc.date.available2016-05-05T07:21:50Z
dc.date.issued2016-04-19
dc.identifier.citationYang, X. (2016). A regularized stationary mean-field game. KAUST Research Repository. https://doi.org/10.25781/KAUST-AY59A
dc.identifier.doi10.25781/KAUST-AY59A
dc.identifier.urihttp://hdl.handle.net/10754/607757
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.
dc.language.isoen
dc.subjectMean field games
dc.subjectcontinuation method
dc.subjectmonotone flow
dc.subjectenergy method
dc.subjectregularity
dc.subjectStationary
dc.titleA regularized stationary mean-field game
dc.typeThesis
dc.contributor.departmentComputer, Electrical and Mathematical Science and Engineering (CEMSE) Division
thesis.degree.grantorKing Abdullah University of Science and Technology
dc.contributor.committeememberTzavaras, Athanasios
dc.contributor.committeememberShamma, Jeff S.
thesis.degree.disciplineApplied Mathematics and Computational Science
thesis.degree.nameMaster of Science
refterms.dateFOA2018-06-13T12:22:08Z


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