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Multidimensional welfare rankings

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  • Athanassoglou, Stergios

Abstract

Social well-being is intrinsically multidimensional. Welfare indices attempting to reduce this complexity to a unique measure abound in many areas of economics and public policy. Ranking alternatives based on such measures depends, sometimes critically, on how the different dimensions of welfare are weighted. In this paper, a theoretical framework is presented that yields a set of consensus rankings in the presence of such weight imprecision. The main idea is to consider a vector of weights as an imaginary voter submitting preferences over alternatives in the form of an ordered list. With this voting construct in mind, a rule for aggregating the preferences of many plausible choices of weights, suitably weighted by the importance attached to them, is proposed. An axiomatic characterization of the rule is provided, and its computational implementation is developed. An analytic solution is derived for an interesting special case of the model corresponding to generalized weighted means and the $\epsilon$-contamination framework of Bayesian statistics. The model is applied to the Academic Ranking of World Universities index of Shanghai University, a popular composite index measuring academic excellence.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 51642.

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Date of creation: 21 Nov 2013
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Handle: RePEc:pra:mprapa:51642
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Keywords: multidimensional welfare; social choice; voting; Kemeny's rule; graph theory; $\epsilon$-contamination;

Find related papers by JEL classification:

  • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
  • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
  • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
  • I31 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - General Welfare, Well-Being

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  1. Gordon Anderson & Ian Crawford & Andrew Leicester, 2010. "Welfare Rankings From Multivariate Data, A Non-Parametric Approach," Working Papers tecipa-386, University of Toronto, Department of Economics.
  2. Kopylov, Igor, 2009. "Choice deferral and ambiguity aversion," Theoretical Economics, Econometric Society, vol. 4(2), June.
  3. Alkire, Sabina & Foster, James, 2011. "Counting and multidimensional poverty measurement," Journal of Public Economics, Elsevier, vol. 95(7-8), pages 476-487, August.
  4. Ravallion, Martin, 2010. "Mashup indices of development," Policy Research Working Paper Series 5432, The World Bank.
  5. Koen Decancq & María Ana Lugo, 2013. "Weights in Multidimensional Indices of Wellbeing: An Overview," Econometric Reviews, Taylor & Francis Journals, vol. 32(1), pages 7-34, January.
  6. Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2005. "A Smooth Model of Decision Making under Ambiguity," Econometrica, Econometric Society, vol. 73(6), pages 1849-1892, November.
  7. M. Saisana & A. Saltelli & S. Tarantola, 2005. "Uncertainty and sensitivity analysis techniques as tools for the quality assessment of composite indicators," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 168(2), pages 307-323.
  8. James E. Foster & Mark McGillivray & Suman Seth, 2011. "Composite Indices: Rank Robustness, Statistical Association and Redundancy," Working Papers 2011-19, The George Washington University, Institute for International Economic Policy.
  9. Nishimura, Kiyohiko G. & Ozaki, Hiroyuki, 2007. "Irreversible investment and Knightian uncertainty," Journal of Economic Theory, Elsevier, vol. 136(1), pages 668-694, September.
  10. Ravallion, Martin, 2012. "Troubling tradeoffs in the Human Development Index," Journal of Development Economics, Elsevier, vol. 99(2), pages 201-209.
  11. Duclos, Jean-Yves & Sahn, David & Younger, Stephen D., 2001. "Robust Multidimensional Poverty Comparisons," Cahiers de recherche 0115, Université Laval - Département d'économique.
  12. François Bourguignon & Satya Chakravarty, 2003. "The Measurement of Multidimensional Poverty," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 1(1), pages 25-49, April.
  13. Saisana, Michaela & d'Hombres, Béatrice & Saltelli, Andrea, 2011. "Rickety numbers: Volatility of university rankings and policy implications," Research Policy, Elsevier, vol. 40(1), pages 165-177, February.
  14. Mehmet Pinar & Thanasis Stengos & Nikolas Topaloglou, 2012. "Measuring human development: a stochastic dominance approach," Working Papers 1209, University of Guelph, Department of Economics and Finance.
  15. Nishimura, Kiyohiko G. & Ozaki, Hiroyuki, 2004. "Search and Knightian uncertainty," Journal of Economic Theory, Elsevier, vol. 119(2), pages 299-333, December.
  16. Young, H. P., 1974. "An axiomatization of Borda's rule," Journal of Economic Theory, Elsevier, vol. 9(1), pages 43-52, September.
  17. Tsui Kai-Yuen, 1995. "Multidimensional Generalizations of the Relative and Absolute Inequality Indices: The Atkinson-Kolm-Sen Approach," Journal of Economic Theory, Elsevier, vol. 67(1), pages 251-265, October.
  18. Duclos, Jean-Yves & Sahn, David E. & Younger, Stephen D., 2011. "Partial multidimensional inequality orderings," Journal of Public Economics, Elsevier, vol. 95(3-4), pages 225-238, April.
  19. A. Atkinson, 2003. "Multidimensional Deprivation: Contrasting Social Welfare and Counting Approaches," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 1(1), pages 51-65, April.
  20. Conitzer, Vincent, 2012. "Should social network structure be taken into account in elections?," Mathematical Social Sciences, Elsevier, vol. 64(1), pages 100-102.
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