Statistics of Correlations and Fluctuations in a Stochastic Model of Wealth Exchange

Bertotti, Maria Letizia, Chattopadhyay, Amit K and Modanese, Giovanni (2018). Statistics of Correlations and Fluctuations in a Stochastic Model of Wealth Exchange. Entropy, 20 (3),

Abstract

In our recently proposed stochastic version of discretized kinetic theory, the exchange of wealth in a society is modelled through a large system of Langevin equations. The deterministic part of the equations is based on non-linear transition probabilities between income classes. The noise terms can be additive, multiplicative or mixed, both with white or Ornstein–Uhlenbeck spectrum. The most important measured correlations are those between Gini inequality index G and social mobility M, between total income and G, and between M and total income. We describe numerical results concerning these correlations and a quantity which gives average stochastic deviations from the equilibrium solutions in dependence on the noise amplitude.

Publication DOI: https://doi.org/10.3390/e20030166
Divisions: Engineering & Applied Sciences > Mathematics
Engineering & Applied Sciences > Systems analytics research institute (SARI)
Additional Information: © 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
Uncontrolled Keywords: discretized kinetic theory,wealth exchange models,Langevin stochastic equations,multiplicative noise,Ornstein–Uhlenbeck noise
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Related URLs: http://www.mdpi ... 9-4300/20/3/166 (Publisher URL)
Published Date: 2018-03-05
Authors: Bertotti, Maria Letizia
Chattopadhyay, Amit K ( 0000-0001-5499-6008)
Modanese, Giovanni

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