Welfare functions and inequality indices in the binomial decomposition of OWA functions

Silvia Bortot (), Ricardo Alberto Marques Pereira () and Thuy H. Nguyen

No 2015/08, DEM Discussion Papers from Department of Economics and Management

Abstract: n the context of Choquet integration with respect to symmetric capacities, we consider the binomial decomposition of OWA functions in terms of the binomial Gini welfare functions Cj , j = 1, ..., n, and the associated binomial Gini inequality indices Gj , j = 1, ..., n, which provide two equivalent descriptions of k-additivity. We illustrate the weights of the binomial Gini welfare functions Cj , j = 1, ..., n, and the coefficients of the associated binomial Gini inequality indices Gj , j = 1, ..., n, which progressively focus on the poorest part of the population. Moreover, we investigate the numerical behavior of the binomial Gini welfare functions and inequality indices in relation to a family of income distributions described by a parameter related with inequality.

Keywords: Generalized Gini welfare functions and inequality indices; symmetric capacities and Choquet integrals; OWA functions; binomial decomposition and k-additivity (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.unitn.it/files/download/27419/dem2015_08.pdf (application/pdf)
Our link check indicates that this URL is bad, the error code is: 403 Forbidden

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:trn:utwpem:2015/08

Access Statistics for this paper

More papers in DEM Discussion Papers from Department of Economics and Management Contact information at EDIRC.
Bibliographic data for series maintained by roberto.gabriele@unitn.it ().