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

Author

Listed:
  • Silvia Bortot

    (University of Trento, Italy)

  • Ricardo Alberto Marques Pereira

    (University of Trento, Italy)

  • Thuy Nguyen

    (University of Trento, Italy)

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.

Suggested Citation

  • Silvia Bortot & Ricardo Alberto Marques Pereira & Thuy Nguyen, 2015. "On the binomial decomposition of OWA functions, the 3-additive case in n dimensions," Working Papers 360, ECINEQ, Society for the Study of Economic Inequality.
    • Handle: RePEc:inq:inqwps:ecineq2015-360
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    File URL: http://www.ecineq.org/milano/WP/ECINEQ2015-360.pdf
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    References listed on IDEAS

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    More about this item

    Keywords

    Generalized Gini welfare functions and inequality indices; symmetric capacities and Choquet integrals; OWA functions and orness; binomial decomposition and k-additivity.;
    All these keywords.

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • I31 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - General Welfare, Well-Being

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