Skip to main content
Journal cover image

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

Publication ,  Journal Article
Degond, P; Liu, JG; Ringhofer, C
Published in: Journal of Nonlinear Science
January 1, 2014

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.

Duke Scholars

Published In

Journal of Nonlinear Science

DOI

EISSN

1432-1467

ISSN

0938-8974

Publication Date

January 1, 2014

Volume

24

Issue

1

Start / End Page

93 / 115

Related Subject Headings

  • Fluids & Plasmas
  • 4903 Numerical and computational mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Degond, P., Liu, J. G., & Ringhofer, C. (2014). Large-scale dynamics of mean-field games driven by local nash equilibria. Journal of Nonlinear Science, 24(1), 93–115. https://doi.org/10.1007/s00332-013-9185-2
Degond, P., J. G. Liu, and C. Ringhofer. “Large-scale dynamics of mean-field games driven by local nash equilibria.” Journal of Nonlinear Science 24, no. 1 (January 1, 2014): 93–115. https://doi.org/10.1007/s00332-013-9185-2.
Degond P, Liu JG, Ringhofer C. Large-scale dynamics of mean-field games driven by local nash equilibria. Journal of Nonlinear Science. 2014 Jan 1;24(1):93–115.
Degond, P., et al. “Large-scale dynamics of mean-field games driven by local nash equilibria.” Journal of Nonlinear Science, vol. 24, no. 1, Jan. 2014, pp. 93–115. Scopus, doi:10.1007/s00332-013-9185-2.
Degond P, Liu JG, Ringhofer C. Large-scale dynamics of mean-field games driven by local nash equilibria. Journal of Nonlinear Science. 2014 Jan 1;24(1):93–115.
Journal cover image

Published In

Journal of Nonlinear Science

DOI

EISSN

1432-1467

ISSN

0938-8974

Publication Date

January 1, 2014

Volume

24

Issue

1

Start / End Page

93 / 115

Related Subject Headings

  • Fluids & Plasmas
  • 4903 Numerical and computational mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics