Many studies have estimated the relationship between income inequality and economic growth (see here and here, for example). Fewer studies have attempted to estimate a causal relationship between the two variables. Unfortunately though, that's what most of us are really interested in. Does higher inequality experience inhibit economic growth?
Theoretically, the causal relationship is not straightforward. Rising shares of income among the wealthy may hold back consumer demand, because the rich save a higher proportion of their income. That would mean that more unequal countries have lower GDP. Alternatively, governments may respond to inequality by redistribution such as progressive taxation, which reduces work and profit incentives and reduces growth. Or, high or rising inequality may reduce trust in government and undermine institutions that are critical for economic growth. On the other hand, the rich save a higher proportion of their income, and those savings are then used for investment spending, which increases economic growth. And more inequality means that those who succeed will receive very high incomes, creating incentives for entrepreneurship and innovation. So, even if inequality causes economic growth, it is unclear if inequality should cause economic growth to be higher, or lower.
This recent article by Zixiang Qi, Bicong Wang (both Beijing Wuzi University), and Yaxin Wang (Chinese Academy of Social Sciences), published in the American Journal of Economics and Sociology (sorry, I don't see an ungated version online) attempts to establish the causal relationship between inequality and economic growth in the long run, using data from 99 countries over the period from 1980 to 2018. Qi et al. find that there is an inverted-U shaped relationship between inequality and economic growth. That is, economic growth is lowest when inequality is low, and when inequality is high, but higher when inequality is middling). However, there is a major problem with the analysis.
In order to establish a causal relationship, Qi et al. rely on an instrumental variables analysis. Instrumental variables analysis involves finding some variable that is correlated with the endogenous variable (income inequality), but uncorrelated with the dependent variable (economic growth, measured as the growth rate of per capita gross national income). That means that the only effect of the instrument on the dependent variable must be through its effect on the endogenous variable.
Qi et al.'s proposed instrument is the age-dependency ratio. Here's where the problem lies. Population ageing has a direct effect on economic growth. The reason why is explained in this post. In fact, Qi et al. even acknowledge this themselves, when they write that:
...Japan's economy has been in a period of secular stagnation for several decades because of ageing population.
So, Qi et al. should know that their instrument is not a valid instrument, and yet they press ahead and use it. At that point, I think we can safely disregard the rest of their results. It is interesting that they found an inverted-U shaped correlation between income inequality and economic growth. But that is all it is - a correlation. We need better methods to establish a causal relationship, and this paper simply doesn't live up to its promise.
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