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B. Düring:
"Kinetic models for wealth distribution: Steady states and relaxation behavior";
Keynote Lecture: Econophys - Kolkata IV: Econophysics of Games and Social Choices, Kolkata, Indien (invited); 2009-03-09 - 2009-03-13.

We present some recent analytical and numerical results on the formation of Pareto tails and the relaxation behavior in different classes of kinetic models for wealth distribution. We also discuss an extended model for wealth distribution in a simple market which is built of a number of countries or social groups. Under a suitable scaling we derive a system of Fokker-Planck type equations and discuss its extension to a two-dimensional model with distributed trading propensity. Theoretical and numerical results show that the wealth distribution develops a polymodal shape. Such patterns are also occasionally observed in real wealth distribution curves.

s. engl. Abstract

Econophysics, Boltzmann equation, wealth and income distributions, Pareto distribution, mixtures

Project Head Ansgar Jüngel:
Numerik und Modellierung nichtlinearer partieller Differentialgleichungen zur Beschreibung von Kredit- und Preisrisiken