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Düring, B., Matthes, D., & Toscani, G. (2008). Kinetic equations modelling wealth redistribution: a comparison of approaches. Physical Review E, 78(056103). https://doi.org/10.1103/physreve.78.056103
General Medicine; Boltzmann equation; Wealth distribution; Pareto tail
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Abstract:
s. engl. Abstract
de
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.
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Project title:
Numerics and modeling of nonlinear partial differential equations for the description of credit and price risks (Deutsche Forschungsgemeinschaft) Entropy-entropy dissipation methods for higher-order nonlinear partial differential equations (postdoc position for Dr. Daniel Matthes) (Deutsche Forschungsgemeinschaft)
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Research Areas:
Modelling and Simulation: 50% außerhalb der gesamtuniversitären Forschungsschwerpunkte: 50%
