Inequality measures in kinetic exchange models of wealth distributions

• DOI: 10.1016/j.physa.2016.01.081
• Publication Date: 2016-02-08T15:03:18Z
• Authors: Asim Ghosh; Arnab Chatterjee; Jun-ichi Inoue; Bikas K. Chakrabarti
• Keywords: ta113; Physics - Physics and Society; FOS: Physical sciences; Gini index; Physics and Society (physics.soc-ph); Kinetic models of wealth distribution; 01 natural sciences; FOS: Economics and business; Inequality; 0103 physical sciences; Quantitative Finance - General Finance; General Finance (q-fin.GN); 10. No inequality

10 pages, 7 figures; accepted in Physica A<br/>In this paper, we study the inequality indices for some models of wealth exchange. We calculated Gini index and newly introduced k-index and compare the results with reported empirical data available for different countries. We have found lower and upper bounds for the indices and discuss the efficiencies of the models. Some exact analytical calculations are given for a few cases. We also exactly compute the quantities for Gamma and double Gamma distributions.<br/>