IDEAS home Printed from https://ideas.repec.org/a/spr/sochwe/v39y2012i1p207-251.html
   My bibliography  Save this article

Elitism and stochastic dominance

Author

Listed:
  • Stephen Bazen
  • Patrick Moyes

Abstract

Stochastic dominance has typically been 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 adpations be made. We apply in the paper the stochastic dominance approach to the measurment 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 the 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 across countries.
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Stephen Bazen & Patrick Moyes, 2012. "Elitism and stochastic dominance," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(1), pages 207-251, June.
    • Handle: RePEc:spr:sochwe:v:39:y:2012:i:1:p:207-251
    DOI: 10.1007/s00355-011-0551-4
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00355-011-0551-4
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s00355-011-0551-4?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Fishburn, Peter C., 1974. "Convex stochastic dominance with continuous distribution functions," Journal of Economic Theory, Elsevier, vol. 7(2), pages 143-158, February.
    2. Martin Riese & K. Brunner, 1998. "Measuring the severity of unemployment," Journal of Economics, Springer, vol. 67(2), pages 167-180, June.
    3. Wong, Wing-Keung & Li, Chi-Kwong, 1999. "A note on convex stochastic dominance," Economics Letters, Elsevier, vol. 62(3), pages 293-300, March.
    4. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    5. Nicolas CARAYOL & Agenor LAHATTE, 2009. "Dominance relations and universities ranking," Cahiers du GREThA (2007-2019) 2009-02, Groupe de Recherche en Economie Théorique et Appliquée (GREThA).
    6. Timothy Smeeding & Gunther Schmaus & Brigitte Buhmann & Lee Rainwater, 1988. "Equivalence Scales, Well-Being, Inequality and Poverty: Sensitivity Estimates Across Ten Countries Using the LIS Database," LIS Working papers 17, LIS Cross-National Data Center in Luxembourg.
    7. Patrick Moyes & Udo Ebert, 2010. "Talents, preferences and inequality of well-being," Post-Print hal-00650774, HAL.
    8. Kolm, Serge-Christophe, 1976. "Unequal inequalities. II," Journal of Economic Theory, Elsevier, vol. 13(1), pages 82-111, August.
    9. Kalaitzidakis, P. & Mamuneas, T.P. & Stengos, T., 2003. "Rankings of Academic Journals and Institutions," Working Papers 2003-8, University of Guelph, Department of Economics and Finance.
    10. Paul Makdissi & Quentin Wodon, 2004. "Robust Comparisons of Natural Resources Depletion Indices," Economics Bulletin, AccessEcon, vol. 9(2), pages 1-9.
    11. Alain Chateauneuf & Patrick Moyes, 2005. "Lorenz non-consistent welfare and inequality measurement," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 2(2), pages 61-87, January.
    12. Brice Magdalou & Patrick Moyes, 2009. "Deprivation, welfare and inequality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(2), pages 253-273, February.
    13. Gravel, Nicolas & Moyes, Patrick, 2012. "Ethically robust comparisons of bidimensional distributions with an ordinal attribute," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1384-1426.
    14. Anthony F. Shorrocks & James E. Foster, 1987. "Transfer Sensitive Inequality Measures," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(3), pages 485-497.
    15. Patrick Moyes & Stephen Bazen, 2003. "International Comparisons of Income Distribution," LIS Working papers 341, LIS Cross-National Data Center in Luxembourg.
    16. Stephen Bazen & Patrick Moyes, 2012. "Elitism and stochastic dominance," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(1), pages 207-251, June.
    17. Kolm, Serge-Christophe, 1976. "Unequal inequalities. I," Journal of Economic Theory, Elsevier, vol. 12(3), pages 416-442, June.
    18. Lubrano, Michel & Protopopescu, Camelia, 2004. "Density inference for ranking European research systems in the field of economics," Journal of Econometrics, Elsevier, vol. 123(2), pages 345-369, December.
    19. Bourguignon, Francois, 1989. "Family size and social utility : Income distribution dominance criteria," Journal of Econometrics, Elsevier, vol. 42(1), pages 67-80, September.
    20. Pantelis Kalaitzidakis & Theofanis P. Mamuneas & Thanasis Stengos, 2003. "Rankings of Academic Journals and Institutions in Economics," Journal of the European Economic Association, MIT Press, vol. 1(6), pages 1346-1366, December.
    21. Nicolas Gravel & Patrick Moyes, 2011. "Bidimensional Inequalities with an Ordinal Variable," Studies in Choice and Welfare, in: Marc Fleurbaey & Maurice Salles & John A. Weymark (ed.), Social Ethics and Normative Economics, pages 101-127, Springer.
    22. Michel Lubrano & Luc Bauwens & Alan Kirman & Camelia Protopopescu, 2003. "Ranking Economics Departments in Europe: A Statistical Approach," Journal of the European Economic Association, MIT Press, vol. 1(6), pages 1367-1401, December.
    23. Gastwirth, Joseph L, 1971. "A General Definition of the Lorenz Curve," Econometrica, Econometric Society, vol. 39(6), pages 1037-1039, November.
    24. repec:ebl:ecbull:v:9:y:2004:i:2:p:1-9 is not listed on IDEAS
    25. Yaari, Menahem E., 1988. "A controversial proposal concerning inequality measurement," Journal of Economic Theory, Elsevier, vol. 44(2), pages 381-397, April.
    26. Richard Dusansky & Clayton J. Vernon, 1998. "Rankings of U.S. Economics Departments," Journal of Economic Perspectives, American Economic Association, vol. 12(1), pages 157-170, Winter.
    27. Shorrocks, Anthony F, 1983. "Ranking Income Distributions," Economica, London School of Economics and Political Science, vol. 50(197), pages 3-17, February.
    28. Kalaitzidakis, Pantelis & Mamuneas, Theofanis P. & Stengos, Thanasis, 1999. "European economics: An analysis based on publications in the core journals," European Economic Review, Elsevier, vol. 43(4-6), pages 1150-1168, April.
    29. Patrick Moyes & Udo Ebert, 2011. "Inequality of well-being and isoelastic equivalence scales," Post-Print hal-00650763, HAL.
    30. Sen, Amartya K, 1976. "Poverty: An Ordinal Approach to Measurement," Econometrica, Econometric Society, vol. 44(2), pages 219-231, March.
    31. Pierre-Philippe Combes & Laurent Linnemer, 2003. "Where are the Economists Who Publish? Publication Concentration and Rankings in Europe Based on Cumulative Publications," Journal of the European Economic Association, MIT Press, vol. 1(6), pages 1250-1308, December.
    32. Brigitte Buhmann & Lee Rainwater & Guenther Schmaus & Timothy M. Smeeding, 1988. "Equivalence Scales, Well‐Being, Inequality, And Poverty: Sensitivity Estimates Across Ten Countries Using The Luxembourg Income Study (Lis) Database," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 34(2), pages 115-142, June.
    33. Rubin Saposnik, 1981. "Rank-dominance in income distributions," Public Choice, Springer, vol. 36(1), pages 147-151, January.
    34. Buhmann, Brigitte, et al, 1988. "Equivalence Scales, Well-Being, Inequality, and Poverty: Sensitivity Estimates across Ten Countries Using the Luxembourg Income Study (LIS) Database," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 34(2), pages 115-142, June.
    35. Tom Coupé, 2003. "Revealed Performances: Worldwide Rankings of Economists and Economics Departments, 1990-2000," Journal of the European Economic Association, MIT Press, vol. 1(6), pages 1309-1345, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Koen Decancq, 2020. "Measuring cumulative deprivation and affluence based on the diagonal dependence diagram," METRON, Springer;Sapienza Università di Roma, vol. 78(2), pages 103-117, August.
    2. Peichl, Andreas & Pestel, Nico, 2010. "Multidimensional Measurement of Richness: Theory and an Application to Germany," IZA Discussion Papers 4825, Institute of Labor Economics (IZA).
    3. Stephen Bazen & Patrick Moyes, 2012. "Elitism and stochastic dominance," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(1), pages 207-251, June.
    4. Bouyssou, Denis & Marchant, Thierry, 2014. "An axiomatic approach to bibliometric rankings and indices," Journal of Informetrics, Elsevier, vol. 8(3), pages 449-477.
    5. Nicolas CARAYOL & Agenor LAHATTE, 2011. "Dominance relations when both quantity and quality matter, and applications to the\r\ncomparison of US research universities and worldwide top departments in economics," Cahiers du GREThA (2007-2019) 2011-22, Groupe de Recherche en Economie Théorique et Appliquée (GREThA).
    6. Nicolas CARAYOL & Agenor LAHATTE, 2014. "Dominance relations and ranking when quantity and quality both matter: Applications to US universities and econ. departments worldwide," Cahiers du GREThA (2007-2019) 2014-14, Groupe de Recherche en Economie Théorique et Appliquée (GREThA).
    7. Paul Makdissi & Myra Yazbeck, 2015. "On the measurement of plutonomy," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(4), pages 703-717, April.
    8. Alejandro Corvalan, 2018. "How to rank rankings? Group performance in multiple-prize contests," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(2), pages 361-380, August.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Francesco Andreoli & Claudio Zoli, 2020. "From unidimensional to multidimensional inequality: a review," METRON, Springer;Sapienza Università di Roma, vol. 78(1), pages 5-42, April.
    2. Rolf Aaberge, 2009. "Ranking intersecting Lorenz curves," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(2), pages 235-259, August.
    3. James B. Davies & Martin G. Kocher & Matthias Sutter, 2008. "Economics research in Canada: a long‐run assessment of journal publications," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 41(1), pages 22-45, February.
    4. Nicolas Gravel & Patrick Moyes, 2013. "Utilitarianism or welfarism: does it make a difference?," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(2), pages 529-551, February.
    5. Patrick Moyes & Brice Magdalou, 2008. "Social Welfare, Inequality and Deprivation," LIS Working papers 502, LIS Cross-National Data Center in Luxembourg.
    6. Moyes, Patrick, 2012. "Comparisons of heterogeneous distributions and dominance criteria," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1351-1383.
    7. Ida Petrillo, 2017. "Ranking income distributions: a rank-dependent and needs-based approach," SERIES 03-2017, Dipartimento di Economia e Finanza - Università degli Studi di Bari "Aldo Moro", revised Jul 2017.
    8. Yadira Diaz, 2015. "Differences in needs and multidimensional deprivation measurement," Working Papers 387, ECINEQ, Society for the Study of Economic Inequality.
    9. Udo Ebert & Patrick Moyes, 2017. "Inequality and isoelastic equivalence scales: restrictions and implications," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(2), pages 295-326, February.
    10. Jang C. Jin, 2009. "Publications in mathematical economics and econometrics: ranking of Asian universities and an application of Zipf's law," Asian-Pacific Economic Literature, The Crawford School, The Australian National University, vol. 23(2), pages 116-122, November.
    11. Jin, Jang C. & Hong, Jin-Heon, 2008. "East Asian rankings of economics departments," Journal of Asian Economics, Elsevier, vol. 19(1), pages 74-82, February.
    12. Claudio Zoli, 2002. "Inverse stochastic dominance, inequality measurement and Gini indices," Journal of Economics, Springer, vol. 77(1), pages 119-161, December.
    13. Rolf Aaberge, 2003. "Mean-Spread-Preserving Transformations," Discussion Papers 360, Statistics Norway, Research Department.
    14. Patrick Moyes, 2007. "An extended Gini approach to inequality measurement," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 5(3), pages 279-303, December.
    15. Javier Ruiz-Castillo, 2008. "Economics research in Spain during the 1990s: a literature review," Spanish Economic Review, Springer;Spanish Economic Association, vol. 10(3), pages 221-249, September.
    16. Flaviana Palmisano & Ida Petrillo, 2022. "A general rank‐dependent approach for distributional comparisons," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 24(2), pages 380-409, April.
    17. Brice Magdalou & Patrick Moyes, 2009. "Deprivation, welfare and inequality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(2), pages 253-273, February.
    18. Fabio Maccheroni & Pietro Muliere & Claudio Zoli, 2005. "Inverse stochastic orders and generalized Gini functionals," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 529-559.
    19. Martin Gregor, 2006. "Hodnocení ekonomických pracovišť a ekonomů: Koho, proč, čím a jak [A survey of rankings of economic departments: Global, american, european and national]," Politická ekonomie, Prague University of Economics and Business, vol. 2006(3), pages 394-414.
    20. David Anderson & John Tressler, 2008. "Research output in New Zealand economics departments 2000-2006: A stock approach," New Zealand Economic Papers, Taylor & Francis Journals, vol. 42(2), pages 155-189.

    More about this item

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sochwe:v:39:y:2012:i:1:p:207-251. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.