Mean field games

@article{Lasry2007MeanFG,
  title={Mean field games},
  author={Jean-Michel Lasry and Pierre-Louis Lions},
  journal={Japanese Journal of Mathematics},
  year={2007},
  volume={2},
  pages={229-260}
}
  • Jean-Michel Lasry, Pierre-Louis Lions
  • Published 2007
  • Mathematics
  • Japanese Journal of Mathematics
  • Abstract.We survey here some recent studies concerning what we call mean-field models by analogy with Statistical Mechanics and Physics. More precisely, we present three examples of our mean-field approach to modelling in Economics and Finance (or other related subjects...). Roughly speaking, we are concerned with situations that involve a very large number of “rational players” with a limited information (or visibility) on the “game”. Each player chooses his optimal strategy in view of the… CONTINUE READING
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    References

    SHOWING 1-10 OF 35 REFERENCES
    Ergodic Bellman systems for stochastic games in arbitrary dimension
    • A. Bensoussan, J. Frehse
    • Mathematics
    • Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences
    • 1995
    • 23
    Nash Equilibria of Games with a Continuum of Players
    • 33
    • PDF
    Controlled Markov processes and viscosity solutions
    • 3,543
    • PDF
    Theory of Rational Option Pricing
    • 6,941
    • PDF
    Stock price fluctuation as a diffusion in a random environment
    • H. Föllmer
    • Economics
    • Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences
    • 1994
    • 45