Math @ Duke
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Publications [#246863] of Jian-Guo Liu
Papers Published
- Degond, P; Liu, J-G; Ringhofer, C, Large-Scale Dynamics of Mean-Field Games Driven by Local Nash Equilibria,
Journal of Nonlinear Science, vol. 24 no. 1
(2013),
pp. 1-23, ISSN 0938-8974 [doi]
(last updated on 2025/05/01)
Abstract: 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.
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