IDEAS home Printed from https://ideas.repec.org/a/bla/jpbect/v10y2008i6p1169-1187.html
   My bibliography  Save this article

A Class of Two-Group Polarization Measures

Author

Listed:
  • WALTER BOSSERT
  • WILLIAM SCHWORM

Abstract

The phenomenon of income polarization is generally associated with a disappearing middle class but there does not seem to be a generally accepted definition of this notion. We characterize classes of polarization quasi-orderings and polarization measures in a framework where there are two income groups separated by the median. The axioms we employ are variants of within-group clustering and between-group spread properties, and an independence property. Furthermore, we illustrate that attempts to extend the axioms to more general settings severely restrict their appeal and conclude that alternative approaches may be required to capture concepts involving polarization. Copyright © 2008 Wiley Periodicals, Inc..

Suggested Citation

  • Walter Bossert & William Schworm, 2008. "A Class of Two-Group Polarization Measures," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(6), pages 1169-1187, December.
  • Handle: RePEc:bla:jpbect:v:10:y:2008:i:6:p:1169-1187
    as

    Download full text from publisher

    File URL: http://www.blackwell-synergy.com/doi/abs/10.1111/j.1467-9779.2008.00401.x
    File Function: link to full text
    Download Restriction: Access to full text is restricted to subscribers.

    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. Christian Schultz, 1996. "Polarization and Inefficient Policies," Review of Economic Studies, Oxford University Press, vol. 63(2), pages 331-344.
    2. Ravallion, Martin & Chen, Shaohua, 1997. "What Can New Survey Data Tell Us about Recent Changes in Distribution and Poverty?," World Bank Economic Review, World Bank Group, vol. 11(2), pages 357-382, May.
    3. Jean-Yves Duclos & Joan Esteban & Debraj Ray, 2004. "Polarization: Concepts, Measurement, Estimation," Econometrica, Econometric Society, vol. 72(6), pages 1737-1772, November.
    4. Wang, You-Qiang & Tsui, Kai-Yuen, 2000. " Polarization Orderings and New Classes of Polarization Indices," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 2(3), pages 349-363.
    5. Esteban, Joan & Ray, Debraj, 1999. "Conflict and Distribution," Journal of Economic Theory, Elsevier, vol. 87(2), pages 379-415, August.
    6. Esteban, Joan & Ray, Debraj, 1994. "On the Measurement of Polarization," Econometrica, Econometric Society, vol. 62(4), pages 819-851, July.
    7. Shorrocks, Anthony F, 1983. "Ranking Income Distributions," Economica, London School of Economics and Political Science, vol. 50(197), pages 3-17, February.
    8. Seshanna, Shubhasree & Decornez, Stephane, 2003. "Income polarization and inequality across countries: an empirical study," Journal of Policy Modeling, Elsevier, vol. 25(4), pages 335-358, June.
    9. Gradin, Carlos, 2000. "Polarization by Sub-populations in Spain, 1973-91," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 46(4), pages 457-474, December.
    10. Wolfson, Michael C, 1994. "When Inequalities Diverge," American Economic Review, American Economic Association, vol. 84(2), pages 353-358, May.
    11. Wolfson, Michael, 1997. "Divergent Inequalities - Theory and Empirical Results (Revised Edition)," Analytical Studies Branch Research Paper Series 1997066e, Statistics Canada, Analytical Studies Branch.
    12. X. Zhang & R. Kanbur, 2001. "What Difference Do Polarisation Measures Make? An Application to China," Journal of Development Studies, Taylor & Francis Journals, vol. 37(3), pages 85-98.
    13. Wolfson, Michael C, 1997. "Divergent Inequalities: Theory and Empirical Results," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 43(4), pages 401-421, December.
    14. Chakravarty, Satya R & Majumder, Amita, 2001. "Inequality, Polarisation and Welfare: Theory and Applications," Australian Economic Papers, Wiley Blackwell, vol. 40(1), pages 1-13, March.
    15. Joan Esteban & Carlos Gradín & Debraj Ray, 2007. "An Extension of a Measure of Polarization, with an application to the income distribution of five OECD countries," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 5(1), pages 1-19, April.
    16. D'Ambrosio, Conchita, 2001. "Household Characteristics and the Distribution of Income in Italy: An Application of Social Distance Measures," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 47(1), pages 43-64, March.
    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. repec:eme:reinzz:s1049-258520170000025003 is not listed on IDEAS
    2. Muhammad Touseef-Ur-Rehman & Usman Mustafa & Humayun Rashid, 2015. "Trends of Income Inequality and Polarisation in Pakistan for the Period 1990-2008," The Pakistan Development Review, Pakistan Institute of Development Economics, vol. 54(4), pages 447-467.
    3. Marek Kosny & Gaston Yalonetzky, 2016. "Relative p-bipolarisation measurement with generalised means and hybrid Lorenz curves," Working Papers 404, ECINEQ, Society for the Study of Economic Inequality.
    4. Gaston Yalonetzky, 2013. "Relative bipolarization quasi-ordering based on Between-Group Gini (BGG) curves," Working Papers 318, ECINEQ, Society for the Study of Economic Inequality.
    5. Jones, Andrew M. & Rice, Nigel & Robone, Silvana & Dias, Pedro Rosa, 2011. "Inequality and polarisation in health systems' responsiveness: A cross-country analysis," Journal of Health Economics, Elsevier, vol. 30(4), pages 616-625, July.
    6. Maria Livia ŞTEFĂNESCU, 2015. "Analyzing the health status of the population using ordinal data," Computational Methods in Social Sciences (CMSS), "Nicolae Titulescu" University of Bucharest, Faculty of Economic Sciences, vol. 3(1), pages 18-24, June.
    7. Mauro Mussini & Biancamaria Zavanella, 2015. "Measuring bipolarization in labour productivity in Italy: a new index and its decomposition by sectors and regional factors," RIVISTA DI ECONOMIA E STATISTICA DEL TERRITORIO, FrancoAngeli Editore, vol. 2015(3), pages 29-55.
    8. Gaston Yalonetzky, 2014. "Relative bipolarization Lorenz curve," Economics Bulletin, AccessEcon, vol. 34(2), pages 1103-1113.
    9. Iñaki Permanyer & Conchita D'Ambrosio, 2015. "Measuring Social Polarization with Ordinal and Categorical Data," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 17(3), pages 311-327, June.
    10. Peter Lambert, 2010. "James Foster and Michael Wolfson’s 1992 paper “Polarization and the decline of the middle class”," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 8(2), pages 241-245, June.
    11. Gaston Yalonetzky, 2017. "The Necessary Requirement of Median Independence for Relative Bipolarisation Measurement," Research on Economic Inequality,in: Research on Economic Inequality, volume 25, pages 51-62 Emerald Publishing Ltd.
    12. Gaston Yalonetzky, 2017. "The Benchmark of Maximum Relative Bipolarisation," Research on Economic Inequality,in: Research on Economic Inequality, volume 25, pages 39-50 Emerald Publishing Ltd.
    13. Juan Gabriel Rodríguez, 2015. "A Class of Social Welfare Functions That Depend on Mean Income and Income Polarization," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 61(3), pages 422-439, September.
    14. Rolf Aaberge & A B Atkinson, 2013. "The median as watershed," Discussion Papers 749, Statistics Norway, Research Department.

    More about this item

    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:bla:jpbect:v:10:y:2008:i:6:p:1169-1187. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Wiley-Blackwell Digital Licensing) or (Christopher F. Baum). General contact details of provider: http://edirc.repec.org/data/apettea.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.