IDEAS home Printed from https://ideas.repec.org/p/lis/liswps/335.html
   My bibliography  Save this paper

Polarization: Concepts, Measurement, Estimation

Author

Listed:
  • Jean-Yves Duclos
  • Debraj Ray
  • Joan Esteban

Abstract

The purpose of this paper is two-fold. First, we develop the measurement theory of polarization for the case in which asset distributions can be described using density functions. Second, we provide sample estimators of population polarization indices that can be used to compare polarization across time or entities. Distribution-free statistical inference results are also derived in order to ensure that the orderings of polarization across entities are not simply due to sampling noise. An illustration of the use of these tools using data from 21 countries shows that polarization and inequality orderings can often differ in practice.

Suggested Citation

  • Jean-Yves Duclos & Debraj Ray & Joan Esteban, 2002. "Polarization: Concepts, Measurement, Estimation," LIS Working papers 335, LIS Cross-National Data Center in Luxembourg.
  • Handle: RePEc:lis:liswps:335
    as

    Download full text from publisher

    File URL: http://www.lisdatacenter.org/wps/liswps/335.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. Alberto Alesina & Enrico Spolaore, 1997. "On the Number and Size of Nations," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(4), pages 1027-1056.
    3. repec:bla:jpbect:v:2:y:2000:i:3:p:349-63 is not listed on IDEAS
    4. Russell Davidson & Jean-Yves Duclos, 1997. "Statistical Inference for the Measurement of the Incidence of Taxes and Transfers," Econometrica, Econometric Society, vol. 65(6), pages 1453-1466, November.
    5. Hardle, Wolfgang & Linton, Oliver, 1986. "Applied nonparametric methods," Handbook of Econometrics, in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 38, pages 2295-2339, Elsevier.
    6. Esteban, Joan & Ray, Debraj, 1999. "Conflict and Distribution," Journal of Economic Theory, Elsevier, vol. 87(2), pages 379-415, August.
    7. Quah, Danny T, 1996. "Twin Peaks: Growth and Convergence in Models of Distribution Dynamics," Economic Journal, Royal Economic Society, vol. 106(437), pages 1045-1055, July.
    8. Pagan,Adrian & Ullah,Aman, 1999. "Nonparametric Econometrics," Cambridge Books, Cambridge University Press, number 9780521355643, October.
    9. Esteban, Joan & Ray, Debraj, 1994. "On the Measurement of Polarization," Econometrica, Econometric Society, vol. 62(4), pages 819-851, July.
    10. Quah, Danny, 1997. "Empirics for growth and distribution," LSE Research Online Documents on Economics 2138, London School of Economics and Political Science, LSE Library.
    11. Quah, Danny, 1996. "Twin peaks : growth and convergence in models of distribution dynamics," LSE Research Online Documents on Economics 2278, London School of Economics and Political Science, LSE Library.
    12. repec:bla:revinw:v:46:y:2000:i:4:p:457-74 is not listed on IDEAS
    13. Michael C. Wolfson, 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. Anderson, Gordon, 1996. "Nonparametric Tests of Stochastic Dominance in Income Distributions," Econometrica, Econometric Society, vol. 64(5), pages 1183-1193, September.
    15. Wolfson, Michael C, 1994. "When Inequalities Diverge," American Economic Review, American Economic Association, vol. 84(2), pages 353-358, May.
    16. Norman Loayza & Pablo Fajnzylber & Daniel Lederman, 2000. "Crime and Victimization: An Economic Perspective," Economía Journal, The Latin American and Caribbean Economic Association - LACEA, vol. 0(Fall 2000), pages 219-302, August.
    17. Juan G. Rodríguez & Rafael Salas, "undated". "Extended Bi-Polarization And Inequality Measures," Working Papers 10-03 Classification-JEL , Instituto de Estudios Fiscales.
    18. 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.
    19. Conchita D’Ambrosio & Edward N. Wolff, 2006. "Is Wealth Becoming More Polarized in the United States?," Chapters, in: Edward N. Wolff (ed.), International Perspectives on Household Wealth, chapter 12, Edward Elgar Publishing.
    20. Danny Quah, 1997. "Empirics for Growth and Distribution," CEP Discussion Papers dp0324, Centre for Economic Performance, LSE.
    21. Quah, Danny, 1997. "Empirics for Growth and Distribution: Stratification, Polarization, and Convergence Clubs," CEPR Discussion Papers 1586, C.E.P.R. Discussion Papers.
    22. repec:bla:revinw:v:43:y:1997:i:4:p:401-21 is not listed on IDEAS
    23. Russell Davidson & Jean-Yves Duclos, 2000. "Statistical Inference for Stochastic Dominance and for the Measurement of Poverty and Inequality," Econometrica, Econometric Society, vol. 68(6), pages 1435-1464, November.
    24. Satya R. Chakravarty & Amita Majumder, 2001. "Inequality, Polarisation and Welfare: Theory and Applications," Australian Economic Papers, Wiley Blackwell, vol. 40(1), pages 1-13, March.
    25. Chakravarty, Satya R. & Dutta, Bhaskar, 1990. "Migration and welfare," European Journal of Political Economy, Elsevier, vol. 6(1), pages 119-138, August.
    26. Kakwani, Nanak, 1993. "Statistical Inference in the Measurement of Poverty," The Review of Economics and Statistics, MIT Press, vol. 75(4), pages 632-639, November.
    27. Beach, Charles M & Richmond, James, 1985. "Joint Confidence Intervals for Income Shares and Lorenz Curves," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(2), pages 439-450, June.
    28. You‐Qiang Wang & Kai‐Yuen Tsui, 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, July.
    29. Quah, Danny T, 1997. "Empirics for Growth and Distribution: Stratification, Polarization, and Convergence Clubs," Journal of Economic Growth, Springer, vol. 2(1), pages 27-59, March.
    30. Danny Quah, 1996. "Twin Peaks: Growth and Convergence in Models of Distribution Dynamics," CEP Discussion Papers dp0280, Centre for Economic Performance, LSE.
    31. Davies, J. B. & Shorrocks, A. F., 1989. "Optimal grouping of income and wealth data," Journal of Econometrics, Elsevier, vol. 42(1), pages 97-108, September.
    32. José Garcia Montalvo & Marta Reynal-Querol, 2002. "Why ethnic fractionalization? Polarization, ethnic conflict and growth," Economics Working Papers 660, Department of Economics and Business, Universitat Pompeu Fabra, revised Sep 2002.
    33. Bishop, John A & Chakraborti, S & Thistle, Paul D, 1989. "Asymptotically Distribution-Free Statistical Inference for Generalized Lorenz Curves," The Review of Economics and Statistics, MIT Press, vol. 71(4), pages 725-727, November.
    34. Charles M. Beach & Russell Davidson, 1983. "Distribution-Free Statistical Inference with Lorenz Curves and Income Shares," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(4), pages 723-735.
    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. Joan Esteban & Debraj Ray, 2005. "A Comparison of Polarization Measures," Working Papers 310, Barcelona School of Economics.
    2. F. Clementi & A. L. Dabalen & V. Molini & F. Schettino, 2017. "When the Centre Cannot Hold: Patterns of Polarization in Nigeria," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 63(4), pages 608-632, December.
    3. Iñaki Permanyer, 2008. "Social Polarization: Introducing distances between and within groups," UFAE and IAE Working Papers 751.08, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    4. Iñaki Permanyer, 2008. "The Measurement of Social Polarization in a Multi-group Context," UFAE and IAE Working Papers 736.08, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    5. Azomahou, Théophile T. & Diene, Mbaye, 2012. "Polarization patterns in economic development and innovation," Structural Change and Economic Dynamics, Elsevier, vol. 23(4), pages 421-436.
    6. Azomahou, Theophile & Diene, Mbaye, 2012. "Income polarization and innovation: Evidence from African economies," MERIT Working Papers 2012-048, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
    7. Antonio Duro, Juan & Teixidó-Figueras, Jordi, 2014. "World polarization in carbon emissions, potential conflict and groups: An updated revision," Energy Policy, Elsevier, vol. 74(C), pages 425-432.
    8. Roberto Ezcurra & Pedro Pascual, 2007. "Regional Polarisation and National Development in the European Union," Urban Studies, Urban Studies Journal Limited, vol. 44(1), pages 99-122, January.
    9. Juan Duro & Emilio Padilla, 2013. "Cross-Country Polarisation in CO 2 Emissions Per Capita in the European Union: Changes and Explanatory Factors," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 54(4), pages 571-591, April.
    10. Iñaki Permanyer, 2012. "The conceptualization and measurement of social polarization," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 10(1), pages 45-74, March.
    11. Roberto EZCURRA, 2013. "Polarization Trends Across The European Regions," Region et Developpement, Region et Developpement, LEAD, Universite du Sud - Toulon Var, vol. 38, pages 11-26.
    12. Fabio Clementi & Francesco Schettino, 2013. "Income polarization in Brazil, 2001-2011: A distributional analysis using PNAD data," Economics Bulletin, AccessEcon, vol. 33(3), pages 1796-1815.
    13. Ezcurra, Roberto, 2007. "Is there cross-country convergence in carbon dioxide emissions?," Energy Policy, Elsevier, vol. 35(2), pages 1363-1372, February.
    14. Roberto Ezcurra & Carlos Gil & Pedro Pascual & Manuel Rapun, 2005. "Inequality, Polarisation and Regional Mobility in the European Union," Urban Studies, Urban Studies Journal Limited, vol. 42(7), pages 1057-1076, June.
    15. Juan Prieto-Rodríguez & Juan Gabriel Rodríguez & Rafael Salas, "undated". "Interactions Inequality-Polarization: Characterization Results(*)," Working Papers 15-05 Classification-JEL , Instituto de Estudios Fiscales.
    16. Teixidó-Figueras, J. & Duro, J.A., 2014. "Spatial Polarization of the Ecological Footprint Distribution," Ecological Economics, Elsevier, vol. 104(C), pages 93-106.
    17. Satya Chakravarty & Bhargav Maharaj, 2012. "Ethnic polarization orderings and indices," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 7(1), pages 99-123, May.
    18. 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.
    19. 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.
    20. Park, Seonyoung & Shin, Donggyun, 2020. "Recent Changes in the Nature of Distribution Dynamics of US County Incomes," Working Paper Series 8075, Victoria University of Wellington, School of Economics and Finance.

    More about this item

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

    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:lis:liswps:335. 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: Piotr Paradowski (email available below). General contact details of provider: https://edirc.repec.org/data/lisprlu.html .

    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.