Minimum Inequality Aversion and Welfare Ranking of Income Distributions

Authors

  • Buhong Zheng University of Colorado Denver

Keywords:

Lorenz dominance, generalised Lorenz dominance, Gini coefficient, almost Lorenz dominance, mean utility preserving transfer, welfare ranking, income inequality

Abstract

This article addresses a well-known issue in the application of generalised Lorenz (GL) dominance as a welfare ranking criterion, proposing a solution and providing a characterisation. The issue lies in the lack of an equity-efficiency trade-off in GL dominance, and its root cause is the inclusion of an inequality-neutral social welfare function (SWF) in the set of SWFs that support GL dominance. We propose setting a minimum inequality aversion and deriving an extended dominance condition, which is simply the GL dominance condition applied to utility profiles rather than income profiles. The extended condition is equivalent to Meyer’s (1977) second-degree stochastic dominance with respect to a function and can be characterised by a sequence of income  transfers of the Diamond-Stiglitz (1974) type preserving mean utility. We illustrate the extended GL dominance and its associated Lorenz dominance using United States income data. Finally, we briefly outline how the newly developed idea of “almost dominance” (Leshno and Levy 2002, Zheng 2018) can further enhance the versatility of GL dominance as a tool for welfare  evaluation.

References

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Published

2024-01-21

How to Cite

Zheng, B. (2024). Minimum Inequality Aversion and Welfare Ranking of Income Distributions. Journal of Income Distribution®, 32(3-4). Retrieved from https://jid.journals.yorku.ca/index.php/jid/article/view/40597

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