Axiomatic characterisation of a multigroup headcount stratification index
公理化刻画了一个多群体分层指数,该指数衡量群体间差异,即一组人比另一组人结果更好而非更差的概率的平均绝对差,对研究社会分层和不平等的学者有用。
This paper provides an axiomatic characterisation of a multigroup index that measures between-group disparities as the average absolute difference in the probabilities that members of one group have better rather than worse outcomes compared to members of another group. The index satisfies a global between-group exchange principle under transitive ordering, with this principle playing a role in our characterisation of stratification akin to that of the Pigou-Dalton transfer principle in inequality measurement.