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

Bruno Adolfo Buffa, Damián Knopoff and Germán Torres
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Bruno Adolfo Buffa: CIEM-CONICET and FaMAF, Universidad Nacional de Córdoba, Cordoba 5000, Argentina
Damián Knopoff: CIEM-CONICET and FaMAF, Universidad Nacional de Córdoba, Cordoba 5000, Argentina
Germán Torres: IMIT-CONICET and FaCENA, Universidad Nacional del Nordeste, Corrientes 3400, Argentina

Mathematics, 2020, vol. 8, issue 5, 1-21

Abstract: 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.

Keywords: social dynamics; wealth distribution; Gini coefficient; kinetic theory; active particles (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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