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

Mathematics

Damián Knopoff¹  BrunoAdolfo Buffa¹  Germán Torres² 

[1] CIEM-CONICET and FaMAF, Universidad Nacional de Córdoba, Cordoba 5000, Argentina;IMIT-CONICET and FaCENA, Universidad Nacional del Nordeste, Corrientes 3400, Argentina;

关键词: social dynamics;    wealth distribution;    Gini coefficient;    kinetic theory;    active particles;   

DOI  :  10.3390/math8050786

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown