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B. Düring, G. Toscani:
"International and domestic trading and wealth distribution";
in: "ASC Report 18/2008", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2008, ISBN: 978-3-902627-01-8.

We introduce and 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 one of the authors in [13] 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 (and in general, a polymodal)
shape.

Wealth and income distributions, Boltzmann equation, mixture.

http://www.asc.tuwien.ac.at/preprint/2008/asc18x2008.pdf

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