IDEAS home Printed from https://ideas.repec.org/a/eee/jetheo/v167y2017icp39-52.html
   My bibliography  Save this article

Measuring discrimination using principles of stochastic dominance

Author

Listed:
  • Hoy, Michael
  • Huang, Rachel J.

Abstract

This note develops a new approach to measuring discrimination. A partial ordering of discrimination patterns is proposed that is consistent with the properties of second-degree stochastic dominance (SSD), which are related to changes in the distributions of either the reference (advantaged) or comparison (disadvantaged) group, while keeping the other group's distribution unchanged. Furthermore, a corresponding summary index is derived. This index provides a complete ordering to rank discrimination patterns and also satisfies the principles of SSD.

Suggested Citation

  • Hoy, Michael & Huang, Rachel J., 2017. "Measuring discrimination using principles of stochastic dominance," Journal of Economic Theory, Elsevier, vol. 167(C), pages 39-52.
  • Handle: RePEc:eee:jetheo:v:167:y:2017:i:c:p:39-52
    DOI: 10.1016/j.jet.2016.07.005
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0022053116300473
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.jet.2016.07.005?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 search for a different version of it.

    References listed on IDEAS

    as
    1. X. Ramos & D. Van De Gaer, 2012. "Empirical Approaches to Inequality of Opportunity: Principles, Measures, and Evidence," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 12/792, Ghent University, Faculty of Economics and Business Administration.
    2. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-625, April.
    3. Ekaterina Selezneva & Philippe Van Kerm, 2016. "A distribution-sensitive examination of the gender wage gap in Germany," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 14(1), pages 21-40, March.
    4. repec:bla:econom:v:50:y:1983:i:197:p:3-17 is not listed on IDEAS
    5. Le Breton, Michel & Michelangeli, Alessandra & Peluso, Eugenio, 2012. "A stochastic dominance approach to the measurement of discrimination," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1342-1350.
    6. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
    7. Michael Hoy & Peter Lambert, 2000. "Genetic Screening and Price Discrimination in Insurance Markets," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 25(2), pages 103-130, December.
    8. Butler, Richard J & McDonald, James B, 1987. "Interdistributional Income Inequality," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(1), pages 13-18, January.
    9. Dirk Van de gaer & Marc Fleurbaey & Walter Bossert, 1999. "Responsibility, talent, and compensation: A second-best analysis," Review of Economic Design, Springer;Society for Economic Design, vol. 4(1), pages 35-55.
    10. Rothschild, Michael & Stiglitz, Joseph E., 1971. "Increasing risk II: Its economic consequences," Journal of Economic Theory, Elsevier, vol. 3(1), pages 66-84, March.
    11. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    12. Jenkins, Stephen P., 1994. "Earnings discrimination measurement : A distributional approach," Journal of Econometrics, Elsevier, vol. 61(1), pages 81-102, March.
    13. Buhong Zheng, 2011. "A new approach to measure socioeconomic inequality in health," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 9(4), pages 555-577, December.
    14. Gajdos, Thibault & Weymark, John A., 2012. "Introduction to inequality and risk," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1313-1330.
    Full references (including those not matched with items on IDEAS)

    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. Gajdos, Thibault & Weymark, John A., 2012. "Introduction to inequality and risk," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1313-1330.
    2. Allanson, Paul, 2014. "Income stratification and the measurement of interdistributional inequality between multiple groups," SIRE Discussion Papers 2015-34, Scottish Institute for Research in Economics (SIRE).
    3. Yalonetzky, Gaston, 2012. "Measuring group disadvantage with inter-distributional inequality indices: A critical review and some amendments to existing indices," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 6, pages 1-32.
    4. Monojit Chatterji & Sushil Mohan & Sayantan Ghosh Dastidar, 2015. "Determinants of public education expenditure: evidence from Indian states," International Journal of Education Economics and Development, Inderscience Enterprises Ltd, vol. 6(1), pages 1-19.
    5. Frank A Cowell & Martyna Kobus & Radoslaw Kurek, 2017. "Welfare and Inequality Comparisons for Uni- and Multi-dimensional Distributions of Ordinal Data," STICERD - Public Economics Programme Discussion Papers 31, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    6. Allanson, Paul, 2014. "Income stratification and the measurement of interdistributional inequality between multiple groups," 2007 Annual Meeting, July 29-August 1, 2007, Portland, Oregon TN 2015-34, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    7. Sanjit Dhami & Ali al-Nowaihi, 2013. "Dominance Concepts for Fehr-Schmidt Preferences," Discussion Papers in Economics 13/09, Division of Economics, School of Business, University of Leicester.
    8. Yoram Amiel & Frank Cowell & Liema Davidovitz & Avraham Polovin, 2008. "Preference reversals and the analysis of income distributions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(2), pages 305-330, February.
    9. Justin P. Johnson & David P. Myatt, 2006. "On the Simple Economics of Advertising, Marketing, and Product Design," American Economic Review, American Economic Association, vol. 96(3), pages 756-784, June.
    10. Walter Bossert & Conchita D'Ambrosio, 2013. "Measuring Economic Insecurity," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 54(3), pages 1017-1030, August.
    11. Francesco Andreoli & Claudio Zoli, 2014. "Measuring Dissimilarity," Working Papers 23/2014, University of Verona, Department of Economics.
    12. Camacho-Cuena, Eva & Seidl, Christian & Morone, Andrea, 2005. "Comparing preference reversal for general lotteries and income distributions," Journal of Economic Psychology, Elsevier, vol. 26(5), pages 682-710, October.
    13. Ewald, Christian-Oliver & Yor, Marc, 2015. "On increasing risk, inequality and poverty measures: Peacocks, lyrebirds and exotic options," Journal of Economic Dynamics and Control, Elsevier, vol. 59(C), pages 22-36.
    14. Juan C. Palomino & Gustavo A. Marrero & Juan G. Rodríguez, 2019. "Channels of Inequality of Opportunity: The Role of Education and Occupation in Europe," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 143(3), pages 1045-1074, June.
    15. Philippe Van Kerm, 2013. "Generalized measures of wage differentials," Empirical Economics, Springer, vol. 45(1), pages 465-482, August.
    16. Christopher Bennett & Ričardas Zitikis, 2015. "Ignorance, lotteries, and measures of economic inequality," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 13(2), pages 309-316, June.
    17. Breitmeyer, Carsten & Hakenes, Hendrik & Pfingsten, Andreas, 2004. "From poverty measurement to the measurement of downside risk," Mathematical Social Sciences, Elsevier, vol. 47(3), pages 327-348, May.
    18. Rafael Salas & John A. Bishop & Lester A. Zeager, 2018. "Second‐Order Discrimination and Generalized Lorenz Dominance," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 64(3), pages 563-575, September.
    19. Francesco Andreoli & Claudio Zoli, 2012. "On the Measurement of Dissimilarity and Related Orders," Working Papers 274, ECINEQ, Society for the Study of Economic Inequality.
    20. Vollenweider, Xavier & Di Falco, Salvatore & O'Donoghue, Cathal, 2011. "The Impact Of Risk On The Inequality: Evidences From The Irish Agricultural Sector," 2011 International Congress, August 30-September 2, 2011, Zurich, Switzerland 115553, European Association of Agricultural Economists.

    More about this item

    Keywords

    Discrimination; Stochastic dominance;

    JEL classification:

    • D30 - Microeconomics - - Distribution - - - General
    • J70 - Labor and Demographic Economics - - Labor Discrimination - - - General

    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:eee:jetheo:v:167:y:2017:i:c:p:39-52. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622869 .

    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.