[Back]

B. Düring:
"International and domestic trading and wealth distribution";
Keynote Lecture: Workshop "Kinetic modelling for socio-economic and related problems", Vigevano, Italien (invited); 2008-11-27 - 2008-11-29.

We discuss a kinetic model for wealth distribution in a simple market economy which is built of a number of countries or social groups. Our approach is based on the model with risky investments introduced by Cordier, Pareschi and Toscani and borrows ideas from the kinetic theory of mixtures of rarefied gases. Wealth is exchanged by individuals inside these countries (domestic trade) as well as in between different countries (international trade). 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 for two groups show that the wealth distribution develops a bimodal shape.

s. engl. Abstract

Wealth distribution, Pareto tail, Boltzmann equation

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