Part of the Economic Studies in Inequality, Social Exclusion and Well-Being book series (EIAP, volume 2)
To see how the material of Chapter 9 can be used practically to test for the robustness of poverty comparisons, we focus for simplicity on classes of additive poverty indices denoted as Πs(z +), where s stands again for the “ethical order” of the class and where z + will stand for the upper bound of the range of all of the poverty lines that can reasonably be envisaged. The additive poverty indices P(z) that are members of that class can be expressed as
where z is a poverty line and π(Q(p); z) is an indicator of the poverty status of someone with income Q(p).
$$ P(z) = \smallint _0^1 \pi (Q(p);z) dp, $$
KeywordsPoverty Line Dominance Condition Dual Approach Poverty Index Ethical Order
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