Abstract

A model of the distribution of wealth in society will be presented. The model is based on an agent-based Monte Carlo simulation where interaction (exchange of wealth) is allowed along the edges of a small-world network. The interaction is like inelastic scattering and it is characterized by two constants. Simulations of the model show that the distribution behaves as a power-law and it agrees with results of Pareto.

Highlights

  • Philosophers and scientists in the 19th century started to investigate many natural and social phenomena

  • The 19th century was a revolutionary era during which the first “natural law” of economics [1] – Pareto’s law was observed

  • Pareto’s law states that the high end of wealth distribution follows the power-law P(w) ~ w-1-a, where exponent a is stable for an investigated country in a given period of time

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Summary

A Model of the Distribution of Wealth in Society

A model of the distribution of wealth in society will be presented. The model is based on an agent-based Monte Carlo simulation where interaction (exchange of wealth) is allowed along the edges of a small-world network. The interaction is like inelastic scattering and it is characterized by two constants.

Introduction
Definition of the model
Agent initiated model
Edge initiated model
Interesting variables
Results of simulations
Conclusions
Full Text
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