Elitism and stochastic dominance (original) (raw)

Abstract

Stochastic dominance has been typically used with a special emphasis on risk and inequality reduction something captured by the concavity of the utility function in the expected utility model. We claim that the applicability of the stochastic dominance approach goes far beyond risk and inequality measurement provided suitable adaptations be made. We apply in this article the stochastic dominance approach to the measurement of elitism which may be considered the opposite of egalitarianism. While the usual stochastic dominance quasi-orderings attach more value to more equal and more efficient distributions, our criteria ensure that, the more unequal and the more efficient the distribution, the higher it is ranked. Two instances are provided by (i) comparisons of scientific performance across institutions like universities or departments, and (ii) comparisons of affluence as opposed to poverty between countries.

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References

• Atkinson AB, Bourguignon F (1987) Income distributions and differences in needs. In: Feiwel G (eds) Arrow and the foundations of the theory of economic policy. Macmillan, New York, pp 350–370
  Google Scholar
• Atkinson AB, Rainwater L, Smeeding T (1995) Income distribution in OECD countries. OECD Social Policy Studies No. 18, Paris
• Bazen S, Moyes P (2003) International comparisons of income distributions. Res Econ Inequal 9: 85–111
  Article Google Scholar
• Blundell R, Lewbel A (1991) The information content of equivalence scales. J Econom 50: 49–68
  Article Google Scholar
• Bourguignon F (1989) Family size and social utility: income distribution dominance criteria. J Econom 42: 67–80
  Article Google Scholar
• Buhmann B, Rainwater L, Schmaus G, Smeeding TM (1988) Equivalence scales, well-being, inequality and poverty: sensitivity estimates across ten countries using the Luxembourg Income Study (LIS) database. Rev Income Wealth 34: 115–142
  Article Google Scholar
• Carayol N, Lahatte A (2009) Dominance relations and universities ranking. GREThA discussion paper #2009-02. CNRS-Université Montesquieu, Bordeaux IV
• Chateauneuf A, Moyes P (2004) Lorenz non-consistent welfare and inequality measurement. J Econ Inequal 2: 61–87
  Article Google Scholar
• Chateauneuf A, Moyes P (2006) Measuring inequality without the Pigou-Dalton condition. In: McGillivray M (eds) Inequality, poverty and well-being. Palgrave Macmillan, Basingtoke, pp 22–65
  Google Scholar
• Combes P-P, Linnemer L (2003) Where are the economists who publish? Publication concentration and rankings in Europe based on cumulative publications. J Eur Econ Assoc 1: 1250–1308
  Article Google Scholar
• Coupé T (2003) Revealed performances: worldwide rankings of economists and economics departments, 1990–2000. J Eur Econ Assoc 1: 1309–1345
  Article Google Scholar
• Dalton H (1920) The measurement of the inequality of incomes. Econ J 30: 348–361
  Article Google Scholar
• Dusansky R, Vernon CJ (1998) Rankings of U.S. economics departments. J Econ Perspect 12: 157–170
  Article Google Scholar
• Ebert U (1988) Measurement of inequality: an attempt at unification and generalization. Soc Choice Welf 5: 59–81
  Article Google Scholar
• Ebert U, Moyes P (2010) Talents, preferences and inequality of well-being. GREThA, Université Montesquieu, Bordeaux IV
• Ebert U, Moyes P (2011) Inequality of well-being and isoelastic equivalence scales. GREThA, Université Montesquieu Bordeaux IV
• Fishburn PC (1974) Convex stochastic dominance with continuous distribution functions. J Econ Theory 7: 143–158
  Article Google Scholar
• Fishburn PC, Vickson RG (1978) Theoretical foundations of stochastic dominance. In: Whitmore G, Findlay M (eds) Stochastic dominance. Lexington Books, Lexington, pp 39–113
  Google Scholar
• Foster JE, Shorrocks AF (1988) Poverty orderings and welfare dominance. Soc Choice Welf 5: 91–110
  Article Google Scholar
• Gastwirth J (1971) A general definition of the Lorenz curve. Econometrica 39: 1037–1039
  Article Google Scholar
• Gravel N, Moyes P (2011) Ethically robust comparisons of bidimensional distributions with an ordinal attribute. GREThA, Université Montesquieu, Bordeaux IV
• Hardy GH, Littlewood JE, Pólya G (1952) Inequalities. 2nd edn. Cambridge University Press, Cambridge
  Google Scholar
• Kalaitzidakis P, Mamuneas T, Stengos T (1999) European economics: an analysis based on publications in core journals. Eur Econ Rev 43: 1150–1168
  Article Google Scholar
• Kalaitzidakis P, Mamuneas T, Stengos T (2003) Rankings of academic journals and institutions in economics. J Eur Econ Assoc 1: 1346–1366
  Article Google Scholar
• Kolm S-C (1976) Unequal inequalities I. J Econ Theory 12: 416–442
  Article Google Scholar
• Lubrano M, Protopopescu C (2004) Density inference for ranking european research systems in the field of economics. J Econom 123: 345–369
  Article Google Scholar
• Lubrano M, Bauwens L, Kirman AP, Protopopescu C (2003) Ranking european economic departments: a statistical approach. J Eur Econ Assoc 1: 1367–1401
  Article Google Scholar
• Magdalou B, Moyes P (2009) Deprivation, welfare and inequality. Soc Choice Welf 32: 253–273
  Article Google Scholar
• Makdissi P, Wodon Q (2004) Robust comparisons of natural resources depletion indices. Econ Bull 9:1–9. http://www.economicsbulletin.com/2004/volume9/EB-04I30002A.pdf
  Google Scholar
• Marshall AW, Olkin I (1979) Inequalities: theory of majorization and its applications. Academic Press, New York
  Google Scholar
• Moyes P, Shorrocks AF (1994) Transformations of stochastic orderings. In: Eichhorn W (eds) Models and measurement of welfare and inequality. Springer Verlag, Berlin, pp 162–175
  Chapter Google Scholar
• Quiggin J (1993) Generalized expected utility theory. Kluwer Academic Publishers, Boston/Dordrecht/London
  Book Google Scholar
• Riese M, Brünner JK (1998) Measuring the severity of unemployment. J Econ 67: 167–180
  Article Google Scholar
• Ross SM (1983) Stochastic processes. Wiley, New-York
  Google Scholar
• Saposnik R (1981) Rank-dominance in income distributions. Public Choice 36: 147–151
  Article Google Scholar
• Sen AK (1976) Poverty: an ordinal approach to measurement. Econometrica 44: 219–231
  Article Google Scholar
• Sen AK (1992) Inequality reexamined. Clarendon Press, Oxford
  Google Scholar
• Shaked M, Shanthikumar GJ (1994) Stochastic orders and their applications. Academic Press, Oxford
  Google Scholar
• Shorrocks AF (1983) Ranking income distributions. Economica 50: 3–17
  Article Google Scholar
• Shorrocks AF, Foster JE (1987) Transfer sensitive inequality measures. Rev Econ Stud 54: 485–497
  Article Google Scholar
• Wong W-K, Li C-K (1999) A note on convex stochastic dominance. Econ Lett 62: 293–300
  Article Google Scholar
• Yaari ME (1987) The dual theory of choice under risk. Econometrica 55: 99–115
  Article Google Scholar
• Yaari ME (1988) A controversial proposal concerning inequality measurement. J Econ Theory 44: 381–397
  Article Google Scholar

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Authors and Affiliations

1. GREQAM (UMR CNRS 6579), Université la Méditerranée, Centre de la Vieille Charité, 13002, Marseille, France
   Stephen Bazen
2. GREThA (UMR CNRS 5113), Université de Bordeaux, CNRS, Avenue Léon Duguit, 33608, Pessac, France
   Patrick Moyes
3. IDEP, Centre de la Vieille Charité, 13002, Marseille, France
   Patrick Moyes

Authors

1. Stephen Bazen
2. Patrick Moyes

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Correspondence toStephen Bazen.

Additional information

This paper forms part of the research project, The Multiple Dimensions of Inequality (Contract No. ANR 2010 BLANC 1808) of the French National Agency for Research whose financial support is gratefully acknowledged. Preliminary versions of this article have been presented at the Huitièmes Journées d’Économie Publique Louis-André Gérard-Varet, Marseille, France, 14–15 June 2009 and the Tenth International Meeting of the Society for Social Choice and Welfare, Moscow, Russia, 21–24 July 2010.

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Bazen, S., Moyes, P. Elitism and stochastic dominance.Soc Choice Welf 39, 207–251 (2012). https://doi.org/10.1007/s00355-011-0551-4

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• Received: 15 January 2010
• Accepted: 05 April 2011
• Published: 17 June 2011
• Issue date: June 2012
• DOI: https://doi.org/10.1007/s00355-011-0551-4

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