More about Weakly Decomposable Inequality Measures
نویسندگان
چکیده
This note proposes a generalization of the weak decomposition axiom recently introduced by Ebert (2010) [U. Ebert (2010), The decomposition of inequality reconsidered: Weakly decomposable measures, Mathematical Social Sciences 60(2): 94-103]. The generalization of this axiom relies on the introduction of weaker weighting functions based both on the size of the population and the mean income. Relative, absolute and intermediate inequality measures can now be included in one class of weakly decomposable inequality measures.
منابع مشابه
PATH INDEPENDENT MULTIPLICATIVELY DECOMPOSABLE INEQUALITY MEASURES Ma CASILDA LASSO DE LA VEGA
Foster and Shneyerov (2000) explore an additive decomposition property for inequality measures that they call path independent decomposition. They characterise the class of measures that have this property. Taking their results as a reference, we seek here to generalise the notion of decomposability, and to characterise inequality measures that admit path independent multiplicative decompositio...
متن کاملLinear Inequality Concepts and Social Welfare
The paper presents ab abstract definition of linear inequality concepts leading to linearly invariant measures and characterizes the class of linear concepts completely. Two general methods of deriving ethical measures are proposed. They imply an Atkinson-Kolm-Sen index and a new dual index reflecting the inequality of living standard. Then all separable social welfare orderings which generate ...
متن کاملOn a Family of Achievement and Shortfall Inequality Indices.
This paper identifies a family of absolute consistent inequality indices using a weakly decomposable postulate suggested by Ebert. Because one member employs an Atkinson type aggregation we refer to it as the Atkinson index of consistent inequality. A second member of this family parallels the Kolm index of inequality. Two innovative features of these indices are that no specific structure is i...
متن کاملA general class of additively decomposable inequality measures ?
This paper presents and characterizes a two-parameter class of inequality measures that contains the generalized entropy measures, the variance of logarithms, the path independent measures of Foster and Shneyerov (1999) and several new classes of measures. The key axiom is a generalized form of additive decomposability which defines the within-group and between-group inequality terms using a ge...
متن کاملThe size distribution of income among world citizens : 1820 - 1990 1
This paper investigates the evolution of the size distribution of income among world citizen during a period extending practically over the last two centuries. Estimations of the distribution for the historical period are based on Maddison’s population and GDP per capita estimates on one hand and on rough estimates and/or simple assumptions about the distribution of income within countries or g...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2013