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Inequality and Welfare: Is Europe Special? 513<br />

these risks. Social insurance will also redistribute income across individuals.<br />

However, from a purely conceptual point of view, the main motive of insurance<br />

redistribution is not between individuals, but for the same individual at different<br />

periods or across different states in the world. Due to clear constraints, I cannot<br />

review the literature about this insurance redistribution which is somewhat difficult<br />

to disentangle from the pure vertical distribution from rich to poor in empirical<br />

analysis. This is an important omission since risk preferences are important<br />

to understand the magnitude of public health expenditures, social security and<br />

public education. These public expenditures help to mitigate inequality of wellbeings<br />

as well as vertical redistribution, but their interplay is quite complex to<br />

understand. For instance, Moene and Wallerstein (2001) build a model where<br />

redistribution is an inferior good, whereas insurance motive is a normal good.<br />

I have tried to maintain the technicalities at a minimum so that this survey<br />

can be read by a larger audience. There are no equations in the main text.<br />

12.2 Inequality and Welfare: Two Interconnected Notions<br />

Inequality and welfare are two catch-all terms, and a natural way to get into the<br />

substance is to describe how economists and, more generally, social scientists<br />

have approached these two notions. This section is more conceptual than the<br />

others, but there is no short cut to avoid misleading interpretations here.<br />

12.2.1 Inequality<br />

The word inequality refers to the distribution of some measurable (in a cardinal<br />

sense) quantity. In economics, there are many quantities whose distribution<br />

one may be interested in. Earnings, disposable income, consumption, savings,<br />

wealth, working hours, leisure time, longevity, number of years of schooling,<br />

etc. are just a few examples. A fundamental difference comes in when one asks<br />

whether inequality should be assessed ex-post or ex-ante.<br />

The former means that all the different processes have occurred. The various<br />

processes refer to the production phase, the consumption phase, price determination<br />

and also government intervention through taxes, expenditures and<br />

transfers, depending whether we want to look before or after the government<br />

intervention. Another way to term this ex-post inequality is to say that we are<br />

interested in the inequality of outcomes. A natural way to do this is to look<br />

at the distribution of the outcome in a statistical sense and to adopt simple or<br />

sophisticated measures of the dispersion of this outcome. The initial conceptual<br />

steps regarding measuring inequality date back to the beginning of the twentieth<br />

century. They were put forward by Vilfredo Pareto with his Pareto Law,<br />

by Max Lorenz with the Lorenz curve, by Corrado Gini with the Gini index,<br />

and by the British economist and member of the House of commons, Dalton<br />

(1920) (see Atkinson and Brandolini, 2015 for an appraisal of his contribution)

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