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The Italian Regional Well-Being in a Multi-expert Non-additive Perspective

Author

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  • Giovanni Bertin

    (University of Venice Ca’ Foscari)

  • Ludovico Carrino

    (University of Venice Ca’ Foscari)

  • Silvio Giove

    (University of Venice Ca’ Foscari)

Abstract

This paper designs a multidimensional index of well-being for 20 Italian regions, based on a set of 41 indicators organized in an original hierarchical structure, a decision-tree whose four main pillars are Economy, Society, Environment and Health. Our novel approach combines the objective dimension of the evaluation (a comprehensive set of statistical indicators) within a flexible non-additive aggregation model (the Choquet integral) characterized with the preferences of informed Italian stakeholders. Adopting the Choquet integral allows us to overcome the well-known limitations embedded in the linear models, by assigning a weight (capacity) to any coalitions of dimensions, and by allowing a different degree of substitutability within each decision node in the tree. The weights and the parameters for the aggregation are elicited through a computer-based nominal group technique, a method which reduces the occurrences of drastically dissenting valuations and the potential expert-selection bias. Our results show that experts’ perception of synergies and redundancies is quite heterogeneous between levels and nodes in the tree. Moreover, well-being measures are much influenced by the degree of substitutability embedded in the experts’ preferences. Overall, the Italian picture looks more heterogeneous when analysed through the Choquet integral, with respect to a linear model.

Suggested Citation

  • Giovanni Bertin & Ludovico Carrino & Silvio Giove, 2018. "The Italian Regional Well-Being in a Multi-expert Non-additive Perspective," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 135(1), pages 15-51, January.
    • Handle: RePEc:spr:soinre:v:135:y:2018:i:1:d:10.1007_s11205-016-1475-2
    DOI: 10.1007/s11205-016-1475-2
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    2. Francesco Sica & Francesco Tajani & Maria Rosaria Guarini & Rossana Ranieri, 2023. "A Sensitivity Index to Perform the Territorial Sustainability in Uncertain Decision-Making Conditions," Land, MDPI, vol. 12(2), pages 1-21, February.
    3. Mehmet Pinar, 2022. "Choquet-Integral Aggregation Method to Aggregate Social Indicators to Account for Interactions: An Application to the Human Development Index," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 159(1), pages 1-53, January.
    4. David Gálvez Ruiz & Pilar Diaz Cuevas & Olta Braçe & Marco Garrido-Cumbrera, 2018. "Developing an Index to Measure Sub-municipal Level Urban Sprawl," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 140(3), pages 929-952, December.
    5. Francesco Tajani & Maria Rosaria Guarini & Francesco Sica & Rossana Ranieri & Debora Anelli, 2022. "Multi-Criteria Analysis and Sustainable Accounting. Defining Indices of Sustainability under Choquet’s Integral," Sustainability, MDPI, vol. 14(5), pages 1-15, February.
    6. Marco Corazza & Giovanni Fasano & Daniela Favaretto & Silvio Giove, 2019. "Properties of some generalized means for positive sequences," Working Papers 05, Venice School of Management - Department of Management, Università Ca' Foscari Venezia.
    7. Michele Costa & Flavio Delbono & Francesco Linguiti, 2021. "Cooperative Movement and Prosperity across Italian Regions," Working Papers wp1161, Dipartimento Scienze Economiche, Universita' di Bologna.
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