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Variational Time-Fractional Mean Field Games

Author

Listed:
  • Qing Tang

    (China University of Geosciences (Wuhan))

  • Fabio Camilli

    (Università di Roma “La Sapienza”)

Abstract

We consider the variational structure of a time-fractional second-order mean field games (MFG) system. The MFG system consists of time-fractional Fokker–Planck and Hamilton–Jacobi–Bellman equations. In such a situation, the individual agent follows a non-Markovian dynamics given by a subdiffusion process. Hence, the results of this paper extend the theory of variational MFG to the subdiffusive situation.

Suggested Citation

  • Qing Tang & Fabio Camilli, 2020. "Variational Time-Fractional Mean Field Games," Dynamic Games and Applications, Springer, vol. 10(2), pages 573-588, June.
    • Handle: RePEc:spr:dyngam:v:10:y:2020:i:2:d:10.1007_s13235-019-00330-2
    DOI: 10.1007/s13235-019-00330-2
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    References listed on IDEAS

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    5. Michael Benzaquen & Jean-Philippe Bouchaud, 2018. "A fractional reaction–diffusion description of supply and demand," Post-Print hal-02323544, HAL.
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