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

2012/12/26 by Pierre Degond, Jian‐Guo Liu, Degond, Pierre +4 · 1 citation
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Complex Systems and Time Series Analysis #Opinion Dynamics and Social Influence #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1212.6130

arxiv created 2012/12/26 · arxiv updated 2012/12/27

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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