Decomposing the Bonferroni Inequality Index by Subgroups: Shapley Value and Balance of Inequality

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” an...

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Main Authors:	Giovanni M. Giorgi, Alessio Guandalini
Format:	Article
Language:	English
Published:	MDPI AG 2018-04-01
Series:	Econometrics
Subjects:	inequality measurement Bonferroni index Gini concentration ratio decomposition methods Shapley value balance of inequality complex survey data
Online Access:	http://www.mdpi.com/2225-1146/6/2/18

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spelling	doaj-8f38f96df02c47abb638af47649a34682020-11-24T23:14:53ZengMDPI AGEconometrics2225-11462018-04-01621810.3390/econometrics6020018econometrics6020018Decomposing the Bonferroni Inequality Index by Subgroups: Shapley Value and Balance of InequalityGiovanni M. Giorgi0Alessio Guandalini1Department of Statistical Sciences, “Sapienza” University of Rome, Piazzale Aldo Moro 5, Rome 00185, ItalyItalian National Institute of Statistics—ISTAT, Via Cesare Balbo 16, Rome 00184, ItalyAdditive 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.http://www.mdpi.com/2225-1146/6/2/18inequality measurementBonferroni indexGini concentration ratiodecomposition methodsShapley valuebalance of inequalitycomplex survey data
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Giovanni M. Giorgi Alessio Guandalini
spellingShingle	Giovanni M. Giorgi Alessio Guandalini Decomposing the Bonferroni Inequality Index by Subgroups: Shapley Value and Balance of Inequality Econometrics inequality measurement Bonferroni index Gini concentration ratio decomposition methods Shapley value balance of inequality complex survey data
author_facet	Giovanni M. Giorgi Alessio Guandalini
author_sort	Giovanni M. Giorgi
title	Decomposing the Bonferroni Inequality Index by Subgroups: Shapley Value and Balance of Inequality
title_short	Decomposing the Bonferroni Inequality Index by Subgroups: Shapley Value and Balance of Inequality
title_full	Decomposing the Bonferroni Inequality Index by Subgroups: Shapley Value and Balance of Inequality
title_fullStr	Decomposing the Bonferroni Inequality Index by Subgroups: Shapley Value and Balance of Inequality
title_full_unstemmed	Decomposing the Bonferroni Inequality Index by Subgroups: Shapley Value and Balance of Inequality
title_sort	decomposing the bonferroni inequality index by subgroups: shapley value and balance of inequality
publisher	MDPI AG
series	Econometrics
issn	2225-1146
publishDate	2018-04-01
description	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.
topic	inequality measurement Bonferroni index Gini concentration ratio decomposition methods Shapley value balance of inequality complex survey data
url	http://www.mdpi.com/2225-1146/6/2/18
work_keys_str_mv	AT giovannimgiorgi decomposingthebonferroniinequalityindexbysubgroupsshapleyvalueandbalanceofinequality AT alessioguandalini decomposingthebonferroniinequalityindexbysubgroupsshapleyvalueandbalanceofinequality
_version_	1725592940333498368

Decomposing the Bonferroni Inequality Index by Subgroups: Shapley Value and Balance of Inequality

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