Decomposing the Bonferroni inequality index by subgroups : shapley value and balance of inequality

Giovanni M. Giorgi and Alessio Guandalini

Additive decomposability is an interesting feature of inequality indices which, however, is not always fulfilled; solutions to overcome such an issue have been given by Deutsch and Silber (2007) and by Di Maio and Landoni (2017). In this paper, we apply these methods, based on the “Shapley value” and the “balance of inequality” respectively, to the Bonferroni inequality index. We also discuss a comparison with the Gini concentration index and highlight interesting properties of the Bonferroni index.

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Year of publication:	June 2018
Authors:	Giorgi, Giovanni M. ; Guandalini, Alessio
Published in:	Econometrics : open access journal. - Basel : MDPI, ISSN 2225-1146, ZDB-ID 2717594-7. - Vol. 6.2018, 2, p. 1-16
Subject:	inequality measurement \| Bonferroni index \| Gini concentration ratio \| decomposition methods \| Shapley value \| balance of inequality \| complex survey data \| Theorie \| Theory \| Konzentrationsmaß \| Concentration measurement \| Dekompositionsverfahren \| Decomposition method \| Einkommensverteilung \| Income distribution \| Shapley-Wert \| Soziale Ungleichheit \| Social inequality \| Gini-Koeffizient \| Gini coefficient

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Type of publication:	Article
Type of publication (narrower categories):	Aufsatz in Zeitschrift ; Article in journal
Language:	English
Other identifiers:	10.3390/econometrics6020018 [DOI] hdl:10419/195455 [Handle]
Classification:	D63 - Equity, Justice, Inequality, and Other Normative Criteria and Measurement ; C71 - Cooperative Games ; I32 - Measurement and Analysis of Poverty
Source:	ECONIS - Online Catalogue of the ZBW

Persistent link: https://www.econbiz.de/10011823313