Publications in Scientific Journals:

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

English 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.

German abstract:
s. engl. Abstract

Wealth distribution, Pareto tail, Boltzmann equation

"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)

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

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

Created from the Publication Database of the Vienna University of Technology.