In 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.
Welfare functions and inequality indices in the binomial decomposition of OWA functions / Bortot, Silvia; Marques Pereira, Ricardo Alberto; Nguyen, Hong Thuy. - ELETTRONICO. - 2015/08(2015), pp. 1-22.
Titolo: | Welfare functions and inequality indices in the binomial decomposition of OWA functions | |
Autori: | Bortot, Silvia; Marques Pereira, Ricardo Alberto; Nguyen, Hong Thuy | |
Autori Unitn: | ||
Luogo di edizione: | Trento | |
Casa editrice: | Department of Economics and Management. University of Trento, Italy | |
Anno di pubblicazione: | 2015 | |
Handle: | http://hdl.handle.net/11572/115530 | |
Citazione: | Welfare functions and inequality indices in the binomial decomposition of OWA functions / Bortot, Silvia; Marques Pereira, Ricardo Alberto; Nguyen, Hong Thuy. - ELETTRONICO. - 2015/08(2015), pp. 1-22. | |
Appare nelle tipologie: | 07.2 Altre pubblicazioni (Other types of publications) |
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