International and domestic trading and wealth distribution

Arbeitspapier

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.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Series: CoFE Discussion Paper ; No. 08/02

Classification and Topics

• Classification: Wirtschaft
• Subject: Wealth and income distributions ; Boltzmann equation ; mixture

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Düring, Bertram ; Toscani, Giuseppe
• Event: Veröffentlichung
• (who): University of Konstanz, Center of Finance and Econometrics (CoFE)
• (where): Konstanz
• (when): 2008

Further information

• Handle: http://hdl.handle.net/10419/32155
• URN: urn:nbn:de:bsz:352-opus-116730
• Last update: 10.03.2025, 11:44 AM CET