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.
Publié le : 2009-12-15
Classification:
Wealth and income distributions,
kinetic models,
Boltzmann equation,
taxation and redistribution,
91B60,
82C40,
35B40
@article{1264434137,
author = {Bisi, Marzia and Spiga, Giampiero and Toscani, Giuseppe},
title = {Kinetic models of conservative economies with wealth redistribution},
journal = {Commun. Math. Sci.},
volume = {7},
number = {1},
year = {2009},
pages = { 901-916},
language = {en},
url = {http://dml.mathdoc.fr/item/1264434137}
}
Bisi, Marzia; Spiga, Giampiero; Toscani, Giuseppe. Kinetic models of conservative economies with wealth redistribution. Commun. Math. Sci., Tome 7 (2009) no. 1, pp. 901-916. http://gdmltest.u-ga.fr/item/1264434137/