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Michael Magoon's avatar

I think the Left in general believes that inequality is inherently immoral, but then they try to justify that normative belief by trying to prove that inequality is also the driving force in all or most of societies problems. As you show, there is not much evidence to back up their claims.

Steve Phelps's avatar

You haven’t mentioned Daniel Nettle’s critique, which I think is the most insightful. Nettle shows that many of the results presented in The Spirit Level can be understood as largely tautological, arising from Jensen’s inequality https://sphelps.net/jensens_inequality_spirit_level.html#try-it). The key issue is not inequality per se, but the combination of inequality with non-linear relationships between income (or status) and various outcomes.

Whenever the relationship between an independent variable (e.g. income) and a dependent variable (e.g. health, crime risk, stress, educational attainment) is non-linear, then it is not just the average level of income that matters for aggregate outcomes, but higher moments of the distribution, particularly variance. This logic is familiar from quantitative finance: when outcomes are concave in payoffs, a more volatile distribution produces worse average results even when the mean is unchanged.

For example, most people would prefer a guaranteed $1 million (zero variance) to a lottery paying $0 with probability 0.5 and $2 million with probability 0.5 (variance 1e12), despite identical expected value. The same aggregation logic applies at the societal level. If health, wellbeing, or social outcomes improve rapidly at low incomes but exhibit diminishing returns at higher incomes, then more unequal societies will mechanically exhibit worse average outcomes even if mean income is held constant. This arises simply from the mathematics of non-linear functions and aggregation, without requiring any additional assumptions about inequality generating psychological stress, status anxiety, or erosion of social trust. See https://sphelps.net/jensens_inequality_spirit_level.html#try-it for an interactive visualisation.

Importantly, Nettle does not argue that inequality is therefore unimportant. On straightforward utilitarian grounds, the same non-linearity provides a strong argument for greater equality. Because the relationship between income and welfare-relevant outcomes is concave, a transfer from a richer to a poorer individual increases aggregate utility: the marginal loss in welfare experienced by the rich person is smaller than the marginal gain experienced by the poorer person.

In other words, the case for redistribution does not rest on reducing inequality as such, but on the asymmetry of marginal effects. What matters is not that variance is lowered, but that gains at the bottom outweigh losses at the top when outcomes depend non-linearly on, e.g. income. What Nettle’s critique therefore challenges is not the policy direction implied by The Spirit Level, but the interpretation of its correlations and the causal story being told.

https://www.researchgate.net/publication/315657327_Why_inequality_is_bad

https://www.danielnettle.org.uk/wp-content/uploads/2017/03/Why-inequality-is-bad-1.0.pdf

https://www.danielnettle.eu/category/hotte/

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