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    Two Numerical Approaches to Stationary Mean-Field Games

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    Type
    Article
    Authors
    Almulla, Noha
    Ferreira, Rita cc
    Gomes, Diogo A. cc
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Applied Mathematics and Computational Science Program
    Center for Uncertainty Quantification in Computational Science and Engineering (SRI-UQ)
    Date
    2016-10-04
    Online Publication Date
    2016-10-04
    Print Publication Date
    2017-12
    Permanent link to this record
    http://hdl.handle.net/10754/627030
    
    Metadata
    Show full item record
    Abstract
    Here, we consider numerical methods for stationary mean-field games (MFG) and investigate two classes of algorithms. The first one is a gradient-flow method based on the variational characterization of certain MFG. The second one uses monotonicity properties of MFG. We illustrate our methods with various examples, including one-dimensional periodic MFG, congestion problems, and higher-dimensional models.
    Citation
    Almulla N, Ferreira R, Gomes D (2016) Two Numerical Approaches to Stationary Mean-Field Games. Dynamic Games and Applications 7: 657–682. Available: http://dx.doi.org/10.1007/s13235-016-0203-5.
    Sponsors
    The authors were partially supported by King Abdullah University of Science and Technology baseline and start-up funds and by KAUST SRI, Center for Uncertainty Quantification in Computational Science and Engineering.
    Publisher
    Springer Nature
    Journal
    Dynamic Games and Applications
    DOI
    10.1007/s13235-016-0203-5
    arXiv
    1511.06576
    ae974a485f413a2113503eed53cd6c53
    10.1007/s13235-016-0203-5
    Scopus Count
    Collections
    Articles; Applied Mathematics and Computational Science Program; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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