The Generalized Gini Welfare Function in the Framework of Symmetric Choquet Integration
In the context of Social Welfare and Choquet integration, we briefly review the classical Gini inequality index for populations of n â‰¥ 2 individuals, including the associated Lorenz area formula, plus the k-additivity framework for Choquet integration introduced by Grabisch, particularly in the additive and 2-additive symmetric cases. We then show that any 2-additive symmetric Choquet integral can be written as the difference between the arithmetic mean and a multiple of the classical Gini inequality index, with a given interval constraint on the multi- plicative parameter. In the special case of positive parameter values, this result corresponds to the well-known Ben Porath and Gilboaâ€™s formula for Weymarkâ€™s generalized Gini welfare functions, with linearly decreasing (inequality averse) weight distributions
|Date of creation:||May 2012|
|Date of revision:||May 2012|
|Contact details of provider:|| Postal: |
Web page: http://www.unitn.it/disaEmail:
More information through EDIRC
|Order Information:|| Postal: DISA Università degli Studi di Trento via Inama, 5 I-38122 Trento TN Italy|
Web: http://www.unitn.it/disa Email:
When requesting a correction, please mention this item's handle: RePEc:trt:disawp:2012/04. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Roberto Gabriele)
If references are entirely missing, you can add them using this form.