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Welfare Rankings From Multivariate Data, A Non-Parametric Approach

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  • Gordon Anderson
  • Ian Crawford
  • Andrew Leicester

Abstract

Economic and Social Welfare is inherently multidimensional. However choosing a measure which combines several indicators is difficult and may have unintended and undesireable effects on the incentives for policymakers. We develope a nonparametric empirical method for deriving welfare rankings based on data envelopment which avoids the need to specify a weighting scheme. The results are valid for all possible social welfare functions which share certain cannonical properties. We apply this method to data on human development.

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Bibliographic Info

Paper provided by University of Toronto, Department of Economics in its series Working Papers with number tecipa-386.

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Length: 17 pages
Date of creation: 14 Jan 2010
Date of revision:
Handle: RePEc:tor:tecipa:tecipa-386

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Keywords: Welfare Rankings; Data Envelopment; Human development;

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  1. Kolm, Serge-Christophe, 1977. "Multidimensional Egalitarianisms," The Quarterly Journal of Economics, MIT Press, vol. 91(1), pages 1-13, February.
  2. Davidson, R. & Duclos, J.-Y., 1998. "Statistical Inference for Stochastic Dominance and for the Measurement of Poverty and Inequality," G.R.E.Q.A.M. 98a14, Universite Aix-Marseille III.
  3. Deaton,Angus & Muellbauer,John, 1980. "Economics and Consumer Behavior," Cambridge Books, Cambridge University Press, number 9780521296762, October.
  4. François Bourguignon & Satya Chakravarty, 2003. "The Measurement of Multidimensional Poverty," Journal of Economic Inequality, Springer, vol. 1(1), pages 25-49, April.
  5. A. Atkinson, 2003. "Multidimensional Deprivation: Contrasting Social Welfare and Counting Approaches," Journal of Economic Inequality, Springer, vol. 1(1), pages 51-65, April.
  6. Deaton, Angus, 1979. "The Distance Function in Consumer Behaviour with Applications to Index Numbers and Optimal Taxation," Review of Economic Studies, Wiley Blackwell, vol. 46(3), pages 391-405, July.
  7. Xavier Ramos & Jacques Silber, 2005. "On The Application Of Efficiency Analysis To The Study Of The Dimensions Of Human Development ," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 51(2), pages 285-309, 06.
  8. Maasoumi, Esfandiar, 1986. "The Measurement and Decomposition of Multi-dimensional Inequality," Econometrica, Econometric Society, vol. 54(4), pages 991-97, July.
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Cited by:
  1. Schröder, Carsten & Bönke, Timm, 2012. "Country inequality rankings and conversion schemes," Economics Discussion Papers 2012-7, Kiel Institute for the World Economy.
  2. Stergios Athanassoglou, 2013. "Robust Multidimensional Welfare Comparisons: One Vector of Weights, One Vote," Working Papers 2013.40, Fondazione Eni Enrico Mattei.
  3. Anderson, Gordon, 2011. "Polarization measurement and inference in many dimensions when subgroups can not be identified," Economics - The Open-Access, Open-Assessment E-Journal, Kiel Institute for the World Economy, vol. 5(11), pages 1-19.
  4. Briec, Walter & Dumas, Audrey & Stenger, Agathe, 2013. "On the standard achievement and well-being indexes and their relation to the Hicks–Moorsteen productivity index," Economic Modelling, Elsevier, vol. 35(C), pages 900-909.

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