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Related Experiment Video

Updated: Oct 15, 2025

Using Cholesky Decomposition to Explore Individual Differences in Longitudinal Relations between Reading Skills

Using Cholesky Decomposition to Explore Individual Differences in Longitudinal Relations between Reading Skills

Published on: September 17, 2019

Inheritances, social classes, and wealth distribution.

Pedro Patrício^1,2, Nuno A M Araújo^2,3

¹Departamento de Física, ISEL - Instituto Superior de Engenharia de Lisboa, Instituto Politécnico de Lisboa, Lisboa, Portugal.

|October 27, 2021

Summary

Inheritance significantly impacts wealth distribution, creating inequality when family sizes vary. This model predicts a Gini coefficient of approximately 0.3 for developed countries, with wealth distribution shifting based on social stratification.

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Area of Science:

Economics
Sociology
Mathematical Modeling

Background:

Wealth distribution is a key socioeconomic indicator.
Inheritance is a primary mechanism for intergenerational wealth transfer.
Understanding wealth dynamics requires theoretical modeling.

Purpose of the Study:

To investigate the influence of inheritance on wealth distribution using a theoretical model.
To analyze how offspring probability distributions affect wealth inequality.
To explore the emergence of different wealth distribution regimes.

Main Methods:

Developed a simple theoretical model of wealth inheritance.
Assumed wealth is a finite, constant resource divided equally among offspring.
Simulated societies with varying offspring probability distributions and social stratification.

Main Results:

A constant population leads to a stationary wealth distribution.
Wealth inequality arises when family sizes are not uniform.
The model predicts a Gini coefficient of G ≈ 0.3 for realistic offspring distributions.
Increased social stratification shifts wealth distribution from exponential to power-law.

Conclusions:

Inheritance, coupled with variable family sizes, is a fundamental driver of wealth inequality.
The model provides insights into socioeconomic stratification and wealth dynamics.
Social mobility and class structure significantly alter wealth distribution patterns.