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EnglishThe evaluation of income distributions is usually based on the Pigou-Dalton (PD) principle which says that a transfer from any people to people who have less decreases economic inequality, i.e., increases the social evaluation index. We introduce two weaker principles of transfers which refer to a parameter θ. With the new principles, only those PD transfers increase the social evaluation index which take from the class of incomes above θ and give to the class below θ. The relative positions of individuals remain unchanged, and either no individual may cross the line θ (principle of transfers about θ) or some may do who have been situated next to it (starshaped principle of transfers at θ). θ may be a given constant, a function of mean income, or a quantite of the income distribution. The classes of indices which are consistent with these transfers are completely characterized, and examples are given.
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| Titolo: | Inequality indices and the starshaped principle of transfers | |
| Data di pubblicazione: | 1996 | |
| Autori: | ||
| Autori: | K., Mosler; Muliere, Pietro | |
| Rivista: | STATISTICAL PAPERS | |
| Abstract: | The evaluation of income distributions is usually based on the Pigou-Dalton (PD) principle which says that a transfer from any people to people who have less decreases economic inequality, i.e., increases the social evaluation index. We introduce two weaker principles of transfers which refer to a parameter θ. With the new principles, only those PD transfers increase the social evaluation index which take from the class of incomes above θ and give to the class below θ. The relative positions of individuals remain unchanged, and either no individual may cross the line θ (principle of transfers about θ) or some may do who have been situated next to it (starshaped principle of transfers at θ). θ may be a given constant, a function of mean income, or a quantite of the income distribution. The classes of indices which are consistent with these transfers are completely characterized, and examples are given. | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/BF02926113 | |
| Appare nelle tipologie: | 01 - Article in academic journal / Articolo su rivista scientifica |
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