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Uncertainty and robustness in composite indices rankings

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  • Iñaki Permanyer

Abstract

The choice of specific weights for the variables included in composite indices is a most difficult topic that might involve deep ethical considerations. In face of such a daunting task, a group of decision-makers might be uncertain and prefer to allow for a certain degree of weights underspecification. However, allowing for larger sets of admissible weights might lead to increasingly different admissible rankings. In this paper we introduce an axiomatically characterized ranking distance function that is used to explore the pace at which the dissimilarity between different admissible rankings increases as the set of admissible weights that the decision-makers are willing to accept becomes gradually large. This can be very useful in many areas of the social sciences to assess the reliability and robustness of any ranking derived from the values of composite indices when the choice of a specific weighting scheme is controversial. Copyright 2012 Oxford University Press 2011 All rights reserved, Oxford University Press.

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  • Iñaki Permanyer, 2012. "Uncertainty and robustness in composite indices rankings," Oxford Economic Papers, Oxford University Press, vol. 64(1), pages 57-79, January.
    • Handle: RePEc:oup:oxecpp:v:64:y:2012:i:1:p:57-79
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    File URL: http://hdl.handle.net/10.1093/oep/gpr018
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    Cited by:

    1. Alkire, Sabina & Seth, Suman, 2015. "Multidimensional Poverty Reduction in India between 1999 and 2006: Where and How?," World Development, Elsevier, vol. 72(C), pages 93-108.
    2. Lucio Esposito & Enrica Chiappero‐Martinetti, 2019. "Eliciting, Applying And Exploring Multidimensional Welfare Weights: Evidence From The Field," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 65(S1), pages 204-227, November.
    3. Roberto Ghiselli Ricci, 2019. "An axiomatic characterization of a class of rank mobility measures," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(4), pages 753-785, April.
    4. Ahmet M. Çilingirtürk & Habip Koçak, 2018. "Human Development Index (HDI) Rank-Order Variability," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 137(2), pages 481-504, June.
    5. Zheng, Buhong & Zheng, Charles, 2015. "Fuzzy ranking of human development: A proposal," Mathematical Social Sciences, Elsevier, vol. 78(C), pages 39-47.
    6. Iñaki Permanyer & Jeroen Smits, 2020. "Inequality in Human Development across the Globe," Population and Development Review, The Population Council, Inc., vol. 46(3), pages 583-601, September.
    7. Iñaki Permanyer & M. Azhar Hussain, 2018. "First Order Dominance Techniques and Multidimensional Poverty Indices: An Empirical Comparison of Different Approaches," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 137(3), pages 867-893, June.
    8. Stergios Athanassoglou, 2015. "Multidimensional welfare rankings under weight imprecision: a social choice perspective," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(4), pages 719-744, April.
    9. Rogge, Nicky, 2018. "Composite indicators as generalized benefit-of-the-doubt weighted averages," European Journal of Operational Research, Elsevier, vol. 267(1), pages 381-392.

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