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Award ID contains: 2045027

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  1. (, Research in the Mathematical Sciences)
    Abstract In this expository article, we give an overview of the concept of potential mean field games of first order. We give a new proof that minimizers of the potential are equilibria by using a Lagrangian formulation. We also provide criteria to determine whether or not a game has a potential. Finally, we discuss in some depth the selection problem in mean field games, which consists in choosing one out of multiple Nash equilibria. 
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  2. ; ; ; (, Dynamic Games and Applications)
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  3. ; (, Mathematische Annalen)
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  4. ; (, Journal of Functional Analysis)
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  5. ; (, Journal of Differential Equations)
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  6. ; (, Applied Mathematics & Optimization)
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