IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2511.18944.html

Revisiting the Measurement of Polarization

Author

Listed:
  • Juan A. Crespo
  • Armajac Ravent'os-Pujol

Abstract

We revisit Esteban and Ray's (1994) seminal model of polarization. Their main result (unnecessarily) relies on the assumption that individuals are infinitely divisible, which imposes strong restrictions on admissible polarization indices. We show that relaxing this assumption yields a broader family of indices consistent with the original axioms. The resulting indices avoid counter-intuitive rankings that arise when using results on the original paper and provide greater flexibility for empirical applications.

Suggested Citation

  • Juan A. Crespo & Armajac Ravent'os-Pujol, 2025. "Revisiting the Measurement of Polarization," Papers 2511.18944, arXiv.org.
  • Handle: RePEc:arx:papers:2511.18944
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2511.18944
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Cemal Eren Arbatlı & Quamrul H. Ashraf & Oded Galor & Marc Klemp, 2020. "Diversity and Conflict," Econometrica, Econometric Society, vol. 88(2), pages 727-797, March.
    2. Abu-Bader, Suleiman & Ianchovichina, Elena, 2019. "Polarization, foreign military intervention, and civil conflict," Journal of Development Economics, Elsevier, vol. 141(C).
    3. Patrick Francois & Ilia Rainer & Francesco Trebbi, 2015. "How Is Power Shared in Africa?," Econometrica, Econometric Society, vol. 83, pages 465-503, March.
    4. Klaus Desmet & Ignacio Ortuño-Ortín & Shlomo Weber, 2009. "Linguistic Diversity and Redistribution," Journal of the European Economic Association, MIT Press, vol. 7(6), pages 1291-1318, December.
    5. Kawada, Yoko & Nakamura, Yuta & Sunada, Keita, 2018. "A characterization of the Esteban–Ray polarization measures," Economics Letters, Elsevier, vol. 169(C), pages 35-37.
    6. Lindqvist, Erik & Östling, Robert, 2010. "Political Polarization and the Size of Government," American Political Science Review, Cambridge University Press, vol. 104(3), pages 543-565, August.
    7. Jean-Yves Duclos & Joan Esteban & Debraj Ray, 2004. "Polarization: Concepts, Measurement, Estimation," Econometrica, Econometric Society, vol. 72(6), pages 1737-1772, November.
    8. Mark Gradstein & Moshe Justman, 2002. "Education, Social Cohesion, and Economic Growth," American Economic Review, American Economic Association, vol. 92(4), pages 1192-1204, September.
    9. Gregory J. Martin & Ali Yurukoglu, 2017. "Bias in Cable News: Persuasion and Polarization," American Economic Review, American Economic Association, vol. 107(9), pages 2565-2599, September.
    10. Sundaram,Rangarajan K., 1996. "A First Course in Optimization Theory," Cambridge Books, Cambridge University Press, number 9780521497701, January.
    11. Sundaram,Rangarajan K., 1996. "A First Course in Optimization Theory," Cambridge Books, Cambridge University Press, number 9780521497190, January.
    12. Samuel Bazzi & Arya Gaduh & Alexander D. Rothenberg & Maisy Wong, 2019. "Unity in Diversity? How Intergroup Contact Can Foster Nation Building," American Economic Review, American Economic Association, vol. 109(11), pages 3978-4025, November.
    13. Esteban, Joan & Ray, Debraj, 1994. "On the Measurement of Polarization," Econometrica, Econometric Society, vol. 62(4), pages 819-851, July.
    14. James Foster & Michael Wolfson, 2014. "Erratum to: Polarization and the decline of the middle class: Canada and the U.S," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 12(3), pages 435-437, September.
    15. Samuel Bazzi & Matthew Gudgeon, 2021. "The Political Boundaries of Ethnic Divisions," American Economic Journal: Applied Economics, American Economic Association, vol. 13(1), pages 235-266, January.
    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. Huremović, Kenan & Ozkes, Ali I., 2022. "Polarization in networks: Identification–alienation framework," Journal of Mathematical Economics, Elsevier, vol. 102(C).
    2. Joseph Flavian Gomes, 2020. "The health costs of ethnic distance: evidence from sub-Saharan Africa," Journal of Economic Growth, Springer, vol. 25(2), pages 195-226, June.
    3. Eva M. Buitrago & M. Ángeles Caraballo, 2022. "Measuring social diversity in economic literature: An overview for cross‐country studies," Journal of Economic Surveys, Wiley Blackwell, vol. 36(4), pages 880-934, September.
    4. Bertinelli,Luisito & Comertpay,Rana & Maystadt,Jean-François, 2022. "Refugees, Diversity and Conflict in Sub-Saharan Africa," Policy Research Working Paper Series 10052, The World Bank.
    5. Bertinelli, Luisito & Cömertpay, Rana & Maystadt, Jean-François, 2025. "Ethnic diversity and conflict in sub-Saharan Africa: Evidence from refugee-hosting areas," Journal of Development Economics, Elsevier, vol. 172(C).
    6. Gradstein, Mark & Justman, Moshe, 2019. "Cultural interaction and economic development: An overview," European Journal of Political Economy, Elsevier, vol. 59(C), pages 243-251.
    7. Bluhm, Richard & Thomsson, Kaj, 2020. "Holding on? Ethnic divisions, political institutions and the duration of economic declines," Journal of Development Economics, Elsevier, vol. 144(C).
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. Ilaria Petrarca & Roberto Ricciuti, 2015. "Relative income distribution in six European countries: market and disposable income," LIS Working papers 629, LIS Cross-National Data Center in Luxembourg.
    13. Schettino, Francesco & Khan, Haider A., 2020. "Income polarization in the USA: What happened to the middle class in the last few decades?," Structural Change and Economic Dynamics, Elsevier, vol. 53(C), pages 149-161.
    14. Michele Fabiani, 2023. "Unraveling the Roots of Income Polarization in Europe: A Divided Continent," Economies, MDPI, vol. 11(8), pages 1-18, August.
    15. Beugelsdijk, Sjoerd & Klasing, Mariko J., 2016. "Diversity and trust: The role of shared values," Journal of Comparative Economics, Elsevier, vol. 44(3), pages 522-540.
    16. 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.
    17. Masato Okamoto, 2022. "Lorenz and Polarization Orderings of the Double-Pareto Lognormal Distribution and Other Size Distributions," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 84(2), pages 548-574, November.
    18. Satya Chakravarty & Bhargav Maharaj, 2011. "Measuring ethnic polarization," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(3), pages 431-452, September.
    19. Pregaldini, Damiano & Balestra, Simone & Backes-Gellner, Uschi, 2022. "Does Ethnic Diversity in Schools Affect Occupational Choices?," IZA Discussion Papers 15780, Institute of Labor Economics (IZA).
    20. Dominic Rohner, 2025. "Conflict," CESifo Working Paper Series 12035, CESifo.

    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:arx:papers:2511.18944. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.