Open Access
December 2009 Kinetic models of conservative economies with wealth redistribution
Marzia Bisi, Giampiero Spiga, Giuseppe Toscani
Commun. Math. Sci. 7(4): 901-916 (December 2009).


We introduce and discuss kinetic models for wealth distribution in a simple market economy, which are able to reproduce the salient features of the wealth distribution by including taxes to each trading process and redistributing the collected money among the population according to a given criterion. Our analysis gives a theoretical basis to some recent research that analyzed discrete simplified models for the exploitation of finite resources by interacting agents, where each agent receives a random fraction of the available resources. It is shown that in general the redistribution is able to modify the Pareto index, and that this modification can be quantified in terms of the redistribution operator.


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Marzia Bisi. Giampiero Spiga. Giuseppe Toscani. "Kinetic models of conservative economies with wealth redistribution." Commun. Math. Sci. 7 (4) 901 - 916, December 2009.


Published: December 2009
First available in Project Euclid: 25 January 2010

zbMATH: 1188.91115
MathSciNet: MR2604625

Primary: 35B40 , 82C40 , 91B60

Keywords: Boltzmann equation , kinetic models , taxation and redistribution , Wealth and income distributions

Rights: Copyright © 2009 International Press of Boston

Vol.7 • No. 4 • December 2009
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