Parameter Estimation and Measurement of Social Inequality in a Kinetic Model for Wealth Distribution

BUFFA, BRUNO ADOLFO; KNOPOFF, DAMIÁN; TORRES, GERMÁN

Mathematics

MDPI

Lugar: Basel; Año: 2020 vol. 8

This paper deals with the modeling of wealth distribution considering a society with non-constant population and non-conservative wealth  trades. The modeling approach is based on the kinetic theory of active particles, where individuals are distinguished by a scalar variable (the activity) which expresses their social state. A qualitative analysis of the model focusing on asymptotic behaviors and measurement of inequality through the Gini coefficient is presented. Finally, some specific case-studies are proposed in order to carry out numerical experiments to validate our model, characterize societies and investigate emerging behaviors.