
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.

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