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Stable power laws in variable economies; Lotka-Volterra implies Pareto-Zipf

  • S. Solomon*
  • , P. Richmond
  • *Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

89 Scopus citations

Abstract

In recent years we have found that logistic systems of the Generalized Lotka-Volterra type (GLV) describing statistical systems of auto-catalytic elements posses power law distributions of the Pareto-Zipf type. In particular, when applied to economic systems, GLV leads to power laws in the relative individual wealth distribution and in market returns. These power laws and their exponent α are invariant to arbitrary variations in the total wealth of the system and to other endogenously and exogenously induced variations.

Original languageEnglish
Pages (from-to)257-261
Number of pages5
JournalEuropean Physical Journal B
Volume27
Issue number2
DOIs
StatePublished - 2 May 2002

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

  1. SDG 1 - No Poverty
    SDG 1 No Poverty
  2. SDG 10 - Reduced Inequalities
    SDG 10 Reduced Inequalities

Keywords

  • 87.23.-n Ecology and evolution
  • 89.65.Gh Economics, business, and financial markets
  • 89.75.Da Systems obeying scaling laws

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