IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2007.07061.html
   My bibliography  Save this paper

Polarization in Networks: Identification-alienation Framework

Author

Listed:
  • Kenan Huremovic
  • Ali Ozkes

Abstract

We introduce a model of polarization in networks as a unifying framework for the measurement of polarization that covers a wide range of applications. We consider a sufficiently general setup for this purpose: node- and edge-weighted, undirected, and connected networks. We generalize the axiomatic characterization of Esteban and Ray (1994) and show that only a particular instance within this class can be used justifiably to measure polarization in networks.

Suggested Citation

  • Kenan Huremovic & Ali Ozkes, 2020. "Polarization in Networks: Identification-alienation Framework," Papers 2007.07061, arXiv.org, revised Jan 2021.
  • Handle: RePEc:arx:papers:2007.07061
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2007.07061
    File Function: Latest version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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).
    2. 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.
    3. Can, Burak, 2014. "Weighted distances between preferences," Journal of Mathematical Economics, Elsevier, vol. 51(C), pages 109-115.
    4. 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.
    5. Ugur Ozdemir & Ali Ihsan Ozkes, 2014. "Measuring Public Preferential Polarization," Working Papers hal-00954497, HAL.
    6. Castañeda Dower, Paul & Ginsburgh, Victor & Weber, Shlomo, 2017. "Colonial legacy, polarization and linguistic disenfranchisement: The case of the Sri Lankan War," Journal of Development Economics, Elsevier, vol. 127(C), pages 440-448.
    7. Fowler, James H., 2006. "Connecting the Congress: A Study of Cosponsorship Networks," Political Analysis, Cambridge University Press, vol. 14(4), pages 456-487, October.
    8. Vega-Redondo,Fernando, 2007. "Complex Social Networks," Cambridge Books, Cambridge University Press, number 9780521857406, September.
    9. Esteban, Joan & Ray, Debraj, 1994. "On the Measurement of Polarization," Econometrica, Econometric Society, vol. 62(4), pages 819-851, July.
    10. Antoni Calvó-Armengol & Eleonora Patacchini & Yves Zenou, 2009. "Peer Effects and Social Networks in Education," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(4), pages 1239-1267.
    11. Joan Esteban & Debraj Ray, 2011. "Linking Conflict to Inequality and Polarization," American Economic Review, American Economic Association, vol. 101(4), pages 1345-1374, June.
    12. Klaus Nehring & Clemens Puppe, 2002. "A Theory of Diversity," Econometrica, Econometric Society, vol. 70(3), pages 1155-1198, May.
    13. Can, Burak & Ozkes, Ali Ihsan & Storcken, Ton, 2015. "Measuring polarization in preferences," Mathematical Social Sciences, Elsevier, vol. 78(C), pages 76-79.
    14. Philippe Aghion & Alberto Alesina & Francesco Trebbi, 2004. "Endogenous Political Institutions," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(2), pages 565-611.
    15. Bossert, Walter & D’Ambrosio, Conchita & Weber, Shlomo, 2022. "Distance-based social index numbers: A unifying approach," Journal of Mathematical Economics, Elsevier, vol. 100(C).
    16. 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.
    17. Moody, James & Mucha, Peter J., 2013. "Portrait of Political Party Polarization – ERRATUM," Network Science, Cambridge University Press, vol. 1(2), pages 251-251, August.
    18. James Foster & Michael Wolfson, 2010. "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. 8(2), pages 247-273, June.
    19. Desmet, Klaus & Ortuño-Ortín, Ignacio & Wacziarg, Romain, 2012. "The political economy of linguistic cleavages," Journal of Development Economics, Elsevier, vol. 97(2), pages 322-338.
    20. 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.
    21. Kawada, Yoko & Nakamura, Yuta & Sunada, Keita, 2018. "A characterization of the Esteban–Ray polarization measures," Economics Letters, Elsevier, vol. 169(C), pages 35-37.
    22. Burak Can & Ali Ihsan Ozkes & Ton Storcken, 2017. "Generalized Measures of Polarization in Preferences," AMSE Working Papers 1734, Aix-Marseille School of Economics, France.
    23. Jean-Yves Duclos & Joan Esteban & Debraj Ray, 2004. "Polarization: Concepts, Measurement, Estimation," Econometrica, Econometric Society, vol. 72(6), pages 1737-1772, November.
    24. Moody, James & Mucha, Peter J., 2013. "Portrait of Political Party Polarization1," Network Science, Cambridge University Press, vol. 1(1), pages 119-121, April.
    25. 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.
    26. Esteban, Joan & Ray, Debraj, 1999. "Conflict and Distribution," Journal of Economic Theory, Elsevier, vol. 87(2), pages 379-415, August.
    27. Klaus Desmet & Ignacio Ortuño-Ortín & Romain Wacziarg, 2017. "Culture, Ethnicity, and Diversity," American Economic Review, American Economic Association, vol. 107(9), pages 2479-2513, September.
    28. Walter Bossert & Conchita D'Ambrosio & Eliana La Ferrara, 2011. "A Generalized Index of Fractionalization," Economica, London School of Economics and Political Science, vol. 78(312), pages 723-750, October.
    29. Paul Collier & Anke Hoeffler, 2004. "Greed and grievance in civil war," Oxford Economic Papers, Oxford University Press, vol. 56(4), pages 563-595, October.
    30. JoseG. Montalvo & Marta Reynal-Querol, 2008. "Discrete Polarisation with an Application to the Determinants of Genocides," Economic Journal, Royal Economic Society, vol. 118(533), pages 1835-1865, November.
    31. Vega-Redondo,Fernando, 2007. "Complex Social Networks," Cambridge Books, Cambridge University Press, number 9780521674096, September.
    32. Jose G. Montalvo & Marta Reynal‐Querol, 2008. "Discrete Polarisation with an Application to the Determinants of Genocides," Economic Journal, Royal Economic Society, vol. 118(533), pages 1835-1865, November.
    33. Steven Brams & D. Kilgour & M. Sanver, 2007. "A minimax procedure for electing committees," Public Choice, Springer, vol. 132(3), pages 401-420, September.
    34. 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.
    35. Marco Battaglini & Eleonora Patacchini, 2019. "Social Networks in Policy Making," Annual Review of Economics, Annual Reviews, vol. 11(1), pages 473-494, August.
    36. Clio Andris & David Lee & Marcus J Hamilton & Mauro Martino & Christian E Gunning & John Armistead Selden, 2015. "The Rise of Partisanship and Super-Cooperators in the U.S. House of Representatives," PLOS ONE, Public Library of Science, vol. 10(4), pages 1-14, April.
    37. 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.
    38. Maoz, Zeev & Somer-Topcu, Zeynep, 2010. "Political Polarization and Cabinet Stability in Multiparty Systems: A Social Networks Analysis of European Parliaments, 1945–98," British Journal of Political Science, Cambridge University Press, vol. 40(4), pages 805-833, October.
    39. Cervone, Davide P. & Dai, Ronghua & Gnoutcheff, Daniel & Lanterman, Grant & Mackenzie, Andrew & Morse, Ari & Srivastava, Nikhil & Zwicker, William S., 2012. "Voting with rubber bands, weights, and strings," Mathematical Social Sciences, Elsevier, vol. 64(1), pages 11-27.
    40. Bramoulle, Yann & Kranton, Rachel, 2007. "Public goods in networks," Journal of Economic Theory, Elsevier, vol. 135(1), pages 478-494, July.
    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. 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.
    2. 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.
    3. Matija Kovacic & Claudio Zoli, 2021. "Ethnic distribution, effective power and conflict," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(2), pages 257-299, August.
    4. 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.
    5. 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.
    6. Schettino, Francesco & Gabriele, Alberto & Khan, Haider A., 2021. "Polarization and the middle class in China: A non-parametric evaluation using CHNS and CHIP data," Structural Change and Economic Dynamics, Elsevier, vol. 57(C), pages 251-264.
    7. Teixidó-Figueras, J. & Duro, J.A., 2014. "Spatial Polarization of the Ecological Footprint Distribution," Ecological Economics, Elsevier, vol. 104(C), pages 93-106.
    8. Hodler, Roland & Valsecchi, Michele & Vesperoni, Alberto, 2021. "Ethnic geography: Measurement and evidence," Journal of Public Economics, Elsevier, vol. 200(C).
    9. 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.
    10. 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.
    11. Bossert, Walter & D’Ambrosio, Conchita & Weber, Shlomo, 2022. "Distance-based social index numbers: A unifying approach," Journal of Mathematical Economics, Elsevier, vol. 100(C).
    12. 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.
    13. Gordon Anderson, 2018. "Measuring Aspects of Mobility, Polarization and Convergence in the Absence of Cardinality: Indices Based Upon Transitional Typology," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 139(3), pages 887-907, October.
    14. Victor Ginsburgh & Shlomo Weber, 2020. "The Economics of Language," Journal of Economic Literature, American Economic Association, vol. 58(2), pages 348-404, June.
    15. 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.
    16. 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.
    17. 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.
    18. Joan Esteban & Debraj Ray, 2007. "A Comparison of Polarization Measures," UFAE and IAE Working Papers 700.07, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    19. 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.
    20. Michele Fabiani, 2023. "Unraveling the Roots of Income Polarization in Europe: A Divided Continent," Economies, MDPI, vol. 11(8), pages 1-18, August.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:2007.07061. 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.