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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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 |
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1725592940333498368 |