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Statistics of Correlations and Fluctuations in a Stochastic Model of Wealth Exchange
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...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2018
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512682/ https://www.ncbi.nlm.nih.gov/pubmed/33265257 http://dx.doi.org/10.3390/e20030166 |
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author | Bertotti, Maria Letizia Chattopadhyay, Amit K. Modanese, Giovanni |
author_facet | Bertotti, Maria Letizia Chattopadhyay, Amit K. Modanese, Giovanni |
author_sort | Bertotti, Maria Letizia |
collection | PubMed |
description | 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. |
format | Online Article Text |
id | pubmed-7512682 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2018 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-75126822020-11-09 Statistics of Correlations and Fluctuations in a Stochastic Model of Wealth Exchange Bertotti, Maria Letizia Chattopadhyay, Amit K. Modanese, Giovanni Entropy (Basel) Article 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. MDPI 2018-03-05 /pmc/articles/PMC7512682/ /pubmed/33265257 http://dx.doi.org/10.3390/e20030166 Text en © 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/). |
spellingShingle | Article Bertotti, Maria Letizia Chattopadhyay, Amit K. Modanese, Giovanni Statistics of Correlations and Fluctuations in a Stochastic Model of Wealth Exchange |
title | Statistics of Correlations and Fluctuations in a Stochastic Model of Wealth Exchange |
title_full | Statistics of Correlations and Fluctuations in a Stochastic Model of Wealth Exchange |
title_fullStr | Statistics of Correlations and Fluctuations in a Stochastic Model of Wealth Exchange |
title_full_unstemmed | Statistics of Correlations and Fluctuations in a Stochastic Model of Wealth Exchange |
title_short | Statistics of Correlations and Fluctuations in a Stochastic Model of Wealth Exchange |
title_sort | statistics of correlations and fluctuations in a stochastic model of wealth exchange |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512682/ https://www.ncbi.nlm.nih.gov/pubmed/33265257 http://dx.doi.org/10.3390/e20030166 |
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