IDEAS home Printed from https://ideas.repec.org/a/sae/somere/v5y1977i3p367-384.html
   My bibliography  Save this article

A Generalized Index of Concentration

Author

Listed:
  • Rein Taagepera

    (University of California, Irvine)

  • James Lee Ray

    (University of New Mexico)

Abstract

A generalized nth power index of concentration is defined; for n = 1 it yields the entropy-based "relative redundancy, " and for n = 2 it yields the Ray and Singer (1973) concentration coefficient. Relations are established with a dozen other indices of concentration, diversity, fragmentation, differentiation, and inequality used in social science literature. Explicit conversion formulas are given for these often apparently unrelated indices. For multicomponent systems, equivalent two-component systems are defined.

Suggested Citation

  • Rein Taagepera & James Lee Ray, 1977. "A Generalized Index of Concentration," Sociological Methods & Research, , vol. 5(3), pages 367-384, February.
    • Handle: RePEc:sae:somere:v:5:y:1977:i:3:p:367-384
    DOI: 10.1177/004912417700500306
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1177/004912417700500306
    Download Restriction: no
    File URL: https://libkey.io/10.1177/004912417700500306?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
    ---><---

    References listed on IDEAS

    as
    1. Theil, Henri, 1969. "The Desired Political Entropy," American Political Science Review, Cambridge University Press, vol. 63(2), pages 521-525, June.
    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. Thomas Kemeny & Abigail Cooke, 2018. "Spillovers from immigrant diversity in cities," Journal of Economic Geography, Oxford University Press, vol. 18(1), pages 213-245.
    2. Michael Smithson, 1982. "On relative dispersion: A new solution for some old problems," Quality & Quantity: International Journal of Methodology, Springer, vol. 16(3), pages 261-271, June.
    3. Sonja Sperber & Christian Linder, 2018. "The impact of top management teams on firm innovativeness: a configurational analysis of demographic characteristics, leadership style and team power distribution," Review of Managerial Science, Springer, vol. 12(1), pages 285-316, January.

    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. Wada, Junichiro & Kamahara, Yuta, 2018. "Studying malapportionment using α-divergence," Mathematical Social Sciences, Elsevier, vol. 93(C), pages 77-89.
    2. Konstantinos Matakos & Orestis Troumpounis & Dimitrios Xefteris, 2015. "Turnout and Polarization Under Alternative Electoral Systems," Studies in Political Economy, in: Norman Schofield & Gonzalo Caballero (ed.), The Political Economy of Governance, edition 127, pages 335-362, Springer.
    3. Jörnsten, Kurt & Ubøe, Jan, 2005. "Efficient Statistical Equilibria in Markets," Discussion Papers 2005/2, Norwegian School of Economics, Department of Business and Management Science.
    4. Wenruo Lyu & Liang Zhao, 2023. "Axioms and Divisor Methods for a Generalized Apportionment Problem with Relative Equality," Mathematics, MDPI, vol. 11(15), pages 1-13, July.
    5. Jörnsten, Kurt & Ubøe, Jan, 2010. "Quantification of preferences in markets," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 453-466, July.
    6. Matakos, Konstantinos & Savolainen, Riikka & Troumpounis, Orestis & Tukiainen, Janne & Xefteris, Dimitrios, 2018. "Electoral Institutions and Intraparty Cohesion," Working Papers 109, VATT Institute for Economic Research.
    7. Ocaña, Francisco & Oñate, Pablo, 2011. "IndElec: A Software for Analyzing Party Systems and Electoral Systems," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 42(i06).
    8. Alexander, Jeffrey & Nuchols, Beverly & Bloom, Joan & Lee, Shoou-Yih D., 1993. "Organizational Demography and Turnover: An Examination of Multiform and Non-Linear Heterogeneity," Institute for Research on Labor and Employment, Working Paper Series qt1g50w5xm, Institute of Industrial Relations, UC Berkeley.
    9. Rein Taagepera, 2001. "Party Size Baselines Imposed by Institutional Constraints," Journal of Theoretical Politics, , vol. 13(4), pages 331-354, October.
    10. Bol, Damien & Matakos, Konstantinos & Troumpounis, Orestis & Xefteris, Dimitrios, 2019. "Electoral rules, strategic entry and polarization," Journal of Public Economics, Elsevier, vol. 178(C).
    11. Junichiro Wada, 2010. "Evaluating the Unfairness of Representation With the Nash Social Welfare Function," Journal of Theoretical Politics, , vol. 22(4), pages 445-467, October.
    12. Gang Liu & Fan Hu & Yixin Wang & Huimin Wang, 2019. "Assessment of Lexicographic Minimax Allocations of Blue and Green Water Footprints in the Yangtze River Economic Belt Based on Land, Population, and Economy," IJERPH, MDPI, vol. 16(4), pages 1-21, February.
    13. Dario Debowicz & Alejandro Saporiti & Yizhi Wang, 2021. "Redistribution, power sharing and inequality concern," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(2), pages 197-228, August.
    14. Tom Van Puyenbroeck, 2008. "Proportional Representation, Gini Coefficients, and the Principle of Transfers," Journal of Theoretical Politics, , vol. 20(4), pages 498-526, October.
    15. Allen, Trevor J. & Taagepera, Rein, 2017. "Seat allocation in federal second chambers: Logical models in Canada and Germany," Mathematical Social Sciences, Elsevier, vol. 87(C), pages 22-30.
    16. Rein Taagepera & Madeleine O. Hosli, 2006. "National Representation in International Organizations: The Seat Allocation Model Implicit in the European Union Council and Parliament," Political Studies, Political Studies Association, vol. 54(2), pages 370-398, June.
    17. Çağrı Levent Uslu, 2017. "Seat-vote elasticity and the provincial distribution of government spending in Turkey," Eurasian Economic Review, Springer;Eurasia Business and Economics Society, vol. 7(1), pages 49-67, April.
    18. Pankaj C. Patel & Betty Conklin, 2009. "The Balancing Act: The Role of Transnational Habitus and Social Networks in Balancing Transnational Entrepreneurial Activities," Entrepreneurship Theory and Practice, , vol. 33(5), pages 1045-1078, September.

    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:sae:somere:v:5:y:1977:i:3:p:367-384. 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: SAGE Publications (email available below). General contact details of provider: .

    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.