Discontinuous losses from poverty, generalized P measures, and optimal transfers to the poor
研究贫困线处不连续的贫困测度的分布性质，发现只有含跳跃的加总测度才能将反贫困预算最优分配给最富或最穷的贫困者，并考察了Pα的扩展类。
This paper examines the distributional properties of poverty measures which are discontinuous at the poverty line. It is shown that among all the additive poverty measures, only those measures with some discontinuous jump at the poverty line are such that it is optimal to allocate a given antipoverty budget either to the richest of the poor, or to the poorest of the poor, or to both. A special class of such poverty measures is an extension of the well-known Pα, the properties of which are investigated.