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arXiv · 1212.6130

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

Pierre Degond·Jian-Guo Liu·Christian Ringhofer
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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 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.

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Pierre Degond, Jian-Guo Liu, Christian Ringhofer. 2012-12-26. A Nash equilibrium macroscopic closure for kinetic models coupled with Mean-Field Games. https://arxiv.org/abs/1212.6130

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