On the relationship between income inequality measures and social welfare functions
On the relationship between income inequality measures and social welfare functions
复制标题
论收入不平等指标与社会福利函数之间的关系
DOI：
10.1016/0304-4076(90)90109-7
复制
发表时间：
1990
影响因子：
6.3
通讯作者：
C. Dagum
中科院分区：
文献类型：
--
作者：
C. Dagum
社会的厌恶不平等和厌恶贫困的原则被引入作为原始假设，从庇古-道尔顿转移原则推导出来。这些原理还证实了每个经济单位的效用函数（社会福利收益）的准凸性和负效用函数（社会福利损失）的准凸性，允许将这种收入划分为（1）社会福利收益和（2）社会福利损失。由此产生的分析框架被用来讨论和分析收入不平等的社会福利基础，反之亦然。四个收入不平等的措施和隐含的社会福利函数被认为是：泰尔，广义熵，阿特金森，基尼系数。
The society's aversion to inequality and aversion to poverty principles are introduced as primitive assumptions from which the Pigou-Dalton principle of transfers is deduced. These principles also substantiate the quasiconcavity of the utility function (social welfare gain) and quasiconvexity of the disutility function (social welfare loss) of each economic unit, allowing the partition of this income into (1) social welfare gain and (2) social welfare loss. The resulting analytical framework is used to discuss and analyze the social welfare bases of income inequality and conversely. Four income inequality measures and implied social welfare functions are considered: Theil, generalized entropy, Atkinson, and Gini.