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    Nonasymptotic mean-field games

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    Type
    Article
    Authors
    Tembine, Hamidou
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Date
    2014-12
    Permanent link to this record
    http://hdl.handle.net/10754/563897
    
    Metadata
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    Abstract
    Mean-field games have been studied under the assumption of very large number of players. For such large systems, the basic idea consists of approximating large games by a stylized game model with a continuum of players. The approach has been shown to be useful in some applications. However, the stylized game model with continuum of decision-makers is rarely observed in practice and the approximation proposed in the asymptotic regime is meaningless for networks with few entities. In this paper, we propose a mean-field framework that is suitable not only for large systems but also for a small world with few number of entities. The applicability of the proposed framework is illustrated through various examples including dynamic auction with asymmetric valuation distributions, and spiteful bidders.
    Citation
    Tembine, H. (2014). Nonasymptotic Mean-Field Games. IEEE Transactions on Cybernetics, 44(12), 2744–2756. doi:10.1109/tcyb.2014.2315171
    Publisher
    Institute of Electrical and Electronics Engineers (IEEE)
    Journal
    IEEE Transactions on Cybernetics
    DOI
    10.1109/TCYB.2014.2315171
    arXiv
    1404.1449
    ae974a485f413a2113503eed53cd6c53
    10.1109/TCYB.2014.2315171
    Scopus Count
    Collections
    Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

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