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Düring, B. (2008). International and domestic trading and wealth distribution. Workshop “Kinetic modelling for socio-economic and related problems,” Vigevano, Italien, EU. http://hdl.handle.net/20.500.12708/118773
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 ...
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.
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Projekttitel:
Numerics and modeling of nonlinear partial differential equations for the description of credit and price risks (Deutsche Forschungsgemeinschaft)