Multidimensional generalized Gini indices

Thibault Gajdos () and John Weymark

Economic Theory, 2005, vol. 26, issue 3, 496 pages

Abstract: The axioms that characterize the generalized Gini social evaluation orderings for one-dimensional distributions are extended to the multidimensional attributes case. A social evaluation ordering is shown to have a two-stage aggregation representation if these axioms and a separability assumption are satisfied. In the first stage, the distributions of each attribute are aggregated using generalized Gini social evaluation functions. The functional form of the second-stage aggregator depends on the number of attributes and on which version of a comonotonic additivity axiom is used. The implications of these results for the corresponding multidimensional indices of relative and absolute inequality are also considered. Copyright Springer-Verlag Berlin/Heidelberg 2005

Keywords: Generalized Gini; multidimensional inequality. (search for similar items in EconPapers)
Date: 2005
References: Add references at CitEc
Citations: View citations in EconPapers (75)

Downloads: (external link)
http://hdl.handle.net/10.1007/s00199-004-0529-x (text/html)
Access to full text is restricted to subscribers.

Related works:
Working Paper: Multidimensional Generalized Gini Indices (2005)
Working Paper: Multidimensional Generalized Gini Indices (2005)
Working Paper: Multidimensional Generalized Gini Indices (2003)
Working Paper: Multidimensional generalized Gini indices (2003)
Working Paper: Multidimensional Generalized Gini Indices (2003)
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:spr:joecth:v:26:y:2005:i:3:p:471-496

Ordering information: This journal article can be ordered from
http://www.springer. ... eory/journal/199/PS2

DOI: 10.1007/s00199-004-0529-x

Access Statistics for this article

Economic Theory is currently edited by Nichoals Yanneils

More articles in Economic Theory from Springer, Society for the Advancement of Economic Theory (SAET) Contact information at EDIRC.
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().