IDEAS home Printed from https://ideas.repec.org/a/kap/jecinq/v7y2009i4p435-460.html
   My bibliography  Save this article

Constructing indices of multivariate polarization

Author

Listed:
  • Chiara Gigliarano
  • Karl Mosler

Abstract

No abstract is available for this item.

Suggested Citation

  • Chiara Gigliarano & Karl Mosler, 2009. "Constructing indices of multivariate polarization," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 7(4), pages 435-460, December.
    • Handle: RePEc:kap:jecinq:v:7:y:2009:i:4:p:435-460
    DOI: 10.1007/s10888-008-9096-x
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10888-008-9096-x
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10888-008-9096-x?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. 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. Jean-Yves Duclos & Joan Esteban & Debraj Ray, 2004. "Polarization: Concepts, Measurement, Estimation," Econometrica, Econometric Society, vol. 72(6), pages 1737-1772, November.
    3. repec:bla:jpbect:v:2:y:2000:i:3:p:349-63 is not listed on IDEAS
    4. Donaldson, David & Weymark, John A., 1980. "A single-parameter generalization of the Gini indices of inequality," Journal of Economic Theory, Elsevier, vol. 22(1), pages 67-86, February.
    5. Koshevoy, G. A. & Mosler, K., 1997. "Multivariate Gini Indices," Journal of Multivariate Analysis, Elsevier, vol. 60(2), pages 252-276, February.
    6. Charles Blackorby & David Donaldson & Maria Auersperg, 1981. "A New Procedure for the Measurement of Inequality within and among Population Subgroups," Canadian Journal of Economics, Canadian Economics Association, vol. 14(4), pages 665-685, November.
    7. A. B. Atkinson & F. Bourguignon, 1982. "The Comparison of Multi-Dimensioned Distributions of Economic Status," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(2), pages 183-201.
    8. Esteban, Joan & Ray, Debraj, 1994. "On the Measurement of Polarization," Econometrica, Econometric Society, vol. 62(4), pages 819-851, July.
    9. 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.
    10. Wolfson, Michael C, 1994. "When Inequalities Diverge," American Economic Review, American Economic Association, vol. 84(2), pages 353-358, May.
    11. Maasoumi, Esfandiar & Nickelsburg, Gerald, 1988. "Multivariate Measures of Well-Being and an Analysis of Inequality in the Michigan Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 6(3), pages 326-334, July.
    12. Tsui Kai-Yuen, 1995. "Multidimensional Generalizations of the Relative and Absolute Inequality Indices: The Atkinson-Kolm-Sen Approach," Journal of Economic Theory, Elsevier, vol. 67(1), pages 251-265, October.
    13. Juan G. Rodríguez & Rafael Salas, "undated". "Extended Bi-Polarization And Inequality Measures," Working Papers 10-03 Classification-JEL , Instituto de Estudios Fiscales.
    14. 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.
    15. François Bourguignon & Satya R. Chakravarty, 2019. "The Measurement of Multidimensional Poverty," Themes in Economics, in: Satya R. Chakravarty (ed.), Poverty, Social Exclusion and Stochastic Dominance, pages 83-107, Springer.
    16. repec:bla:revinw:v:43:y:1997:i:4:p:401-21 is not listed on IDEAS
    17. 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.
    18. Joe C. Davis & John H. Huston, 1992. "The Shrinking Middle-Income Class: A Multivariate Analysis," Eastern Economic Journal, Eastern Economic Association, vol. 18(3), pages 277-285, Summer.
    19. 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.
    20. Maasoumi, Esfandiar, 1986. "The Measurement and Decomposition of Multi-dimensional Inequality," Econometrica, Econometric Society, vol. 54(4), pages 991-997, July.
    21. Serge-Christophe Kolm, 1977. "Multidimensional Egalitarianisms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 91(1), pages 1-13.
    22. repec:ebl:ecbull:v:4:y:2003:i:29:p:1-12 is not listed on IDEAS
    23. Mª Casilda Lasso de la Vega & Ana Marta Urrutia, 2003. "A new factorial decomposition for the atkinson measure," Economics Bulletin, AccessEcon, vol. 4(29), pages 1-12.
    24. Conchita D’ambrosio, 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. Mussini Mauro, 2018. "On Measuring Polarization For Ordinal Data: An Approach Based On The Decomposition Of The Leti Index," Statistics in Transition New Series, Statistics Poland, vol. 19(2), pages 277-296, June.
    2. Merz, Joachim & Scherg, Bettina, 2021. "Time, Income and Subjective Well-Being - 20 Years of Interdependent Multidimensional Polarization in Germany," IZA Discussion Papers 14870, Institute of Labor Economics (IZA).
    3. Tanzhe Tang & Amineh Ghorbani & Flaminio Squazzoni & Caspar G. Chorus, 2022. "Together alone: a group-based polarization measurement," Quality & Quantity: International Journal of Methodology, Springer, vol. 56(5), pages 3587-3619, October.
    4. Gordon Anderson, 2010. "Polarization Of The Poor: Multivariate Relative Poverty Measurement Sans Frontiers," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 56(1), pages 84-101, March.
    5. Jordá , Vanesa & Trueba, Carmen & Sarabia, Jose Maria, 2014. "Análisis multidimensional de la desigualdad en el marco del desarrollo humano/Multidimensional Analysis of Inequality under the Human Development Framework," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 32, pages 765-788, Mayo.
    6. Fuad Aleskerov & Victoria Oleynik, 2016. "Multidimensional Polarization Index and its Application to an Analysis of the Russian State Duma," Papers 1608.01351, arXiv.org.
    7. Gloria Polinesi, 2022. "COVID-19 and multidimensional well-being: the Italian case," RIEDS - Rivista Italiana di Economia, Demografia e Statistica - The Italian Journal of Economic, Demographic and Statistical Studies, SIEDS Societa' Italiana di Economia Demografia e Statistica, vol. 76(4), pages 4-12, October-D.
    8. Chiara Gigliarano & Daniel Nowak & Karl Mosler, 2019. "A Polarization Index for Overlapping Groups," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 65(4), pages 712-735, December.
    9. Mauro Mussini, 2018. "On Measuring Polarization For Ordinal Data: An Approach Based On The Decomposition Of The Leti Index," Statistics in Transition New Series, Polish Statistical Association, vol. 19(2), pages 277-296, June.
    10. Joachim Merz & Bettina Scherg, 2013. "Polarization of Time and Income: A Multidimensional Approach with Well-Being Gap and Minimum 2DGAP ; German Evidence," SOEPpapers on Multidisciplinary Panel Data Research 574, DIW Berlin, The German Socio-Economic Panel (SOEP).
    11. Bettina Scherg, 2014. "Multidimensional Polarization of Income and Wealth: The Extent and Intensity of Poverty and Affluence," FFB-Discussionpaper 98, Research Institute on Professions (Forschungsinstitut Freie Berufe (FFB)), LEUPHANA University Lüneburg.
    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. 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.
    14. Clementi,F. & Fabiani,M. & Molini,V., 2018. "The devil is in the details : growth, polarization, and poverty reduction in Africa in the past two decades," Policy Research Working Paper Series 8494, The World Bank.
    15. Anderson, Gordon, 2011. "Polarization measurement and inference in many dimensions when subgroups can not be identified," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 5, pages 1-19.
    16. Remuzgo, Lorena & Trueba, Carmen & Sarabia, José María, 2016. "Evolution of the global inequality in greenhouse gases emissions using multidimensional generalized entropy measures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 146-157.
    17. 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.
    18. Hodler, Roland & Srisuma, Sorawoot & Vesperoni, Alberto & Zurlinden, Noémie, 2020. "Measuring ethnic stratification and its effect on trust in Africa," Journal of Development Economics, Elsevier, vol. 146(C).
    19. Gornig, Martin & Goebel, Jan, 2018. "Deindustrialisation and the polarisation of household incomes: The example of urban agglomerations in Germany," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 55(4), pages 790-806.
    20. Iris Burmester & Bettina Scherg, 2013. "Polarisierung von Arbeitseinkommen im internationalen Vergleich – Empirische Befunde," FFB-Discussionpaper 96, Research Institute on Professions (Forschungsinstitut Freie Berufe (FFB)), LEUPHANA University Lüneburg.
    21. Mariateresa Ciommi & Chiara Gigliarano & Francesco Maria Chelli, 2024. "Measuring income polarization using Bonferroni and De Vergottini inequality indices: evidences from European countries," METRON, Springer;Sapienza Università di Roma, vol. 82(3), pages 245-267, December.
    22. Chiara Assunta Ricci & Sergio Scicchitano, 2021. "Decomposing changes in income polarization by population group: what happened during the crisis?," Economia Politica: Journal of Analytical and Institutional Economics, Springer;Fondazione Edison, vol. 38(1), pages 235-259, April.

    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. Chiara Gigliarano & Daniel Nowak & Karl Mosler, 2019. "A Polarization Index for Overlapping Groups," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 65(4), pages 712-735, December.
    2. 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.
    3. Joan Esteban & Debraj Ray, 2005. "A Comparison of Polarization Measures," Working Papers 310, Barcelona School of Economics.
    4. 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.
    5. Mariateresa Ciommi & Chiara Gigliarano & Giovanni Maria Giorgi, 2019. "Bonferroni And De Vergottini Are Back: New Subgroup Decompositions And Bipolarization Measures," Working Papers 439, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    6. 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.
    7. Juan Gabriel Rodríguez, 2004. "Measuring polarization, inequality, welfare and poverty," Economic Working Papers at Centro de Estudios Andaluces E2004/75, Centro de Estudios Andaluces.
    8. 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).
    9. Fuad Aleskerov & Victoria Oleynik, 2016. "Multidimensional Polarization Index and its Application to an Analysis of the Russian State Duma," Papers 1608.01351, arXiv.org.
    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. Juan Prieto-Rodríguez & Juan Gabriel Rodríguez & Rafael Salas, "undated". "Interactions Inequality-Polarization: Characterization Results(*)," Working Papers 15-05 Classification-JEL , Instituto de Estudios Fiscales.
    12. Carlos Gradín & Máximo Rossi, 2006. "Income Distribution and Income Sources in Uruguay," Journal of Applied Economics, Taylor & Francis Journals, vol. 9(1), pages 49-69, May.
    13. Jean-Yves Duclos & Joan Esteban & Debraj Ray, 2004. "Polarization: Concepts, Measurement, Estimation," Econometrica, Econometric Society, vol. 72(6), pages 1737-1772, November.
    14. Ma Casilda Lasso de la Vega & Ana Urrutia & Henar Díez, 2010. "Unit Consistency And Bipolarization Of Income Distributions," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 56(1), pages 65-83, March.
    15. 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.
    16. 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).
    17. Marta Pascual & David Cantarero & Paloma Lanza, 2018. "Health polarization and inequalities across Europe: an empirical approach," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 19(8), pages 1039-1051, November.
    18. Satya R. Chakravarty & Conchita D'Ambrosio, 2010. "Polarization Orderings Of Income Distributions," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 56(1), pages 47-64, March.
    19. Thibault Gajdos & John Weymark, 2005. "Multidimensional generalized Gini indices," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(3), pages 471-496, October.
    20. Chiara Assunta Ricci & Sergio Scicchitano, 2021. "Decomposing changes in income polarization by population group: what happened during the crisis?," Economia Politica: Journal of Analytical and Institutional Economics, Springer;Fondazione Edison, vol. 38(1), pages 235-259, April.

    More about this item

    Keywords

    Polarization index; Decomposable inequality indices; Multidimensional inequality; Multivariate social evaluation; C43; D63;
    All these keywords.

    JEL classification:

    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • 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:kap:jecinq:v:7:y:2009:i:4:p:435-460. 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.