Large-scale dynamics of mean-field games driven by local nash equilibria


Journal Article

We introduce a new mean field kinetic model for systems of rational agents interacting in a game-theoretical framework. This model is inspired from noncooperative 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. © Springer Science+Business Media New York 2013.

Full Text

Duke Authors

Cited Authors

  • Degond, P; Liu, JG; Ringhofer, C

Published Date

  • January 1, 2014

Published In

Volume / Issue

  • 24 / 1

Start / End Page

  • 93 - 115

Electronic International Standard Serial Number (EISSN)

  • 1432-1467

International Standard Serial Number (ISSN)

  • 0938-8974

Digital Object Identifier (DOI)

  • 10.1007/s00332-013-9185-2

Citation Source

  • Scopus