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Large-scale dynamics of Mean-Field Games driven by local Nash equilibria

Pierre Degond Institut de Mathématiques de Toulouse Jian-Guo Liu Duke University Christian Ringhofer School of Mathematics and Statistical Sciences

Analysis of PDEs mathscidoc:1702.03037

Journal of Nonlinear Science, 24, (1), 93-115, 2014.1
We introduce a new mean field kinetic model for systems of rational agents interacting in a game-theoretical framework. This model is inspired from non-cooperative anonymous games with a continuum of players and Mean-Field Games. The large time behavior of the system is given by a macroscopic closure with a Nash equilibrium serving as the local thermodynamic equilibrium. An application of the presented theory to a social model (herding behavior) is discussed.
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@inproceedings{pierre2014large-scale,
  title={Large-scale dynamics of Mean-Field Games driven by local Nash equilibria},
  author={Pierre Degond, Jian-Guo Liu, and Christian Ringhofer},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170208154513395961312},
  booktitle={Journal of Nonlinear Science},
  volume={24},
  number={1},
  pages={93-115},
  year={2014},
}
Pierre Degond, Jian-Guo Liu, and Christian Ringhofer. Large-scale dynamics of Mean-Field Games driven by local Nash equilibria. 2014. Vol. 24. In Journal of Nonlinear Science. pp.93-115. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170208154513395961312.
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