Near universal values of social inequality indices in self-organized critical models

Abstract

We have studied few social inequality measures associated with the sub-critical dynamical features (measured in terms of the avalanche size distributions) of four self-organized critical models while the corresponding systems approach their respective stationary critical states. It has been observed that these inequality measures (specifically the Gini and Kolkata indices) exhibit nearly universal values though the models studied here are widely different, namely the Bak-Tang-Wiesenfeld sandpile, the Manna sandpile and the quenched Edwards-Wilkinson interface, and the fiber bundle interface. These observations suggest that the self-organized critical systems have broad similarity in terms of these inequality measures. A comparison with similar earlier observations in the data of socio-economic systems with unrestricted competitions suggest the emergent inequality as a result of the possible proximity to the self-organized critical states.

12 pages, 9 figures (Accepted for publication in Physica A)

References in corpus (6)

• Social physics
• Inequality Measures: The Kolkata index in comparison with other measures
• Evolutionary Dynamics of Social Inequality and Coincidence of Gini and Kolkata indices under Unrestricted Competition
• Limiting Value of the Kolkata Index for Social Inequality and a Possible Social Constant
• Variation of Gini and Kolkata Indices with Saving Propensity in the Kinetic Exchange Model of Wealth Distribution: An Analytical Study
• Social Inequality Analysis of Fiber Bundle Model Statistics and Prediction of Materials Failure

Cited by in corpus (8)

• Evolutionary Dynamics of Social Inequality and Coincidence of Gini and Kolkata indices under Unrestricted Competition
• Success of Social Inequality Measures in Predicting Critical or Failure Points in Some Models of Physical Systems
• Prediction of imminent failure using supervised learning in fiber bundle model
• Gintropic Scaling of Scientometric Indexes
• Inequality of avalanche sizes in models of fracture
• Q-factor: A measure of competition between the topper and the average in percolation and in SOC
• Relations Among Different Inequality Measures in Complex Systems: From Kinetic Exchange to Earthquake Models
• Relations Between the Inequality Indices Gini, Pietra and Kolkata: Theory and Data Analysis