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B. Düring, D. Matthes, G. Toscani:
"Kinetic equations modelling wealth redistribution: a comparison of approaches";
Physical Review E, 78 (2008), 5; S. 056103-1 - 056103-12.

s. engl. Abstract

Kinetic equations modelling the redistribution of wealth in simple market economies is one of the major topics in the field of econophysics. We present a unifying approach to the qualitative study for a large variety of such models, which is based on a moment analysis in the related homogeneous Boltzmann equation, and on the use of suitable metrics for probability measures. In consequence,
we are able to classify the most important feature of the steady wealth distribution, namely the fatness of the Pareto tail, and the dynamical stability of the latter in terms of the model parameters.
Also, we present results from numerical experiments that confirm the theoretical predictions.

Wealth distribution, Pareto tail, Boltzmann equation

http://dx.doi.org/10.1103/PhysRevE.78.056103

Projektleitung Ansgar Jüngel:
Entropie-Entropiedissipationsmethoden für nichtlineare partielle Differentialgleichungen höherer Ordnung (Postdoc-Stelle für Herrn Dr. Daniel Matthes)

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