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

Maria Letizia Bertotti, Amit K Chattopadhyay, Giovanni Modanese

Research output: Contribution to journalArticle

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.
Original languageEnglish
Article number166
Number of pages11
JournalEntropy
Volume20
Issue number3
DOIs
Publication statusPublished - 5 Mar 2018

Bibliographical note

© 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/).

Keywords

  • discretized kinetic theory
  • wealth exchange models
  • Langevin stochastic equations
  • multiplicative noise
  • Ornstein–Uhlenbeck noise

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