1212.6130 (Pierre Degond et al.)

A Nash equilibrium macroscopic closure for kinetic models coupled with
Mean-Field Games    [PDF]

Pierre Degond, Jian-Guo Liu, Christian Ringhofer

We introduce a new mean field kinetic model for systems of rational agents interacting in a game theoretical framework. This model is inspired from non-cooperative 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.

View original: http://arxiv.org/abs/1212.6130