Mean Field Games: Numerical Methods

نویسندگان

  • Yves Achdou
  • Italo Capuzzo Dolcetta
چکیده

Mean field type models describing the limiting behavior of stochastic differential game problems, as the number of players tends to +∞, have recently been introduced by J-M. Lasry and P-L. Lions. Numerical methods for the approximation of stationary and nonstationary such models are proposed. In particular, existence and uniqueness are investigated, as well as bounds on the solutions. Numerical experiments are carried out.

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عنوان ژورنال:
  • SIAM J. Numerical Analysis

دوره 48  شماره 

صفحات  -

تاریخ انتشار 2010