Equal opportunities lead to maximum wealth inequality

Ben-Hur Francisco Cardoso; Sebastián Gonçalves; José Roberto Iglesias

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arXiv · 2201.05118

Equal opportunities lead to maximum wealth inequality

Ben-Hur Francisco Cardoso·Sebastián Gonçalves·José Roberto Iglesias

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Abstract

If wealthier people have advantages in having higher returns than poor, inequality will unequivocally increase, but is equal opportunity enough to prevent it? According to several models in economics and econophysics, no. They all display wealth concentration as a peculiar feature of its dynamics, even though no individual can have repeating gains advantage. Here, generalizing these particular models, we present a rigorous analytical demonstration, using master equation formalism, that any fair market that gives each agent the same expected return conducts the system to maximum inequality.

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Ben-Hur Francisco Cardoso, Sebastián Gonçalves, José Roberto Iglesias. 2022-01-13. Equal opportunities lead to maximum wealth inequality. https://arxiv.org/abs/2201.05118

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