On the binomial decomposition of OWA functions, the 3-additive case in n dimensions

Silvia Bortot (), Ricardo Alberto Marques Pereira and Thuy Nguyen
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Silvia Bortot: University of Trento, Italy
Ricardo Alberto Marques Pereira: University of Trento, Italy
Thuy Nguyen: University of Trento, Italy

No 360, Working Papers from ECINEQ, Society for the Study of Economic Inequality

Abstract: In the context of the binomial decomposition of OWA functions, we investigate the parametric constraints associated with the 3-additive case in n dimensions. The resulting feasible region in two coefficients is a convex polygon with n vertices and n edges, and is strictly increasing in the dimension n. The orness of the OWA functions within the feasible region is linear in the two coefficients, and the vertices associated with maximum and minimum orness are identified.

Keywords: Generalized Gini welfare functions and inequality indices; symmetric capacities and Choquet integrals; OWA functions and orness; binomial decomposition and k-additivity. (search for similar items in EconPapers)
JEL-codes: D31 D63 I31 (search for similar items in EconPapers)
Pages: 27 pages
Date: 2015-03
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Persistent link: https://EconPapers.repec.org/RePEc:inq:inqwps:ecineq2015-360

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