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A simple characterization of the family of diversity indices

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  • Davydov, Denis
  • Weber, Shlomo

Abstract

We offer a simple characterization of the family of diversity indices that includes the Gini mutability index, the Greenberg index of linguistic diversity, the Hirschmann–Herfindahl index, the Hill family of dissimilarity measures and contains Shannon entropy as a limit point.

Suggested Citation

  • Davydov, Denis & Weber, Shlomo, 2016. "A simple characterization of the family of diversity indices," Economics Letters, Elsevier, vol. 147(C), pages 121-123.
    • Handle: RePEc:eee:ecolet:v:147:y:2016:i:c:p:121-123
    DOI: 10.1016/j.econlet.2016.08.036
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    1. William Easterly & Ross Levine, 1997. "Africa's Growth Tragedy: Policies and Ethnic Divisions," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(4), pages 1203-1250.
    2. 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.
    3. Victor Ginsburgh & Shlomo Weber, 2011. "How Many Languages Do We Need? The Economics of Linguistic Diversity," Economics Books, Princeton University Press, edition 1, number 9481.
    4. Marta Reynal-Querol, 2002. "Ethnicity, Political Systems, and Civil Wars," Journal of Conflict Resolution, Peace Science Society (International), vol. 46(1), pages 29-54, February.
    5. Paolo Mauro, 1995. "Corruption and Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(3), pages 681-712.
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    Cited by:

    1. Antonio Avila-Cano & Amparo Ruiz-Sepulveda & Francisco Triguero-Ruiz, 2021. "Identifying the Maximum Concentration of Results in Bilateral Sports Competitions," Mathematics, MDPI, vol. 9(11), pages 1-19, June.
    2. Bossert, Walter & D’Ambrosio, Conchita & Weber, Shlomo, 2022. "Distance-based social index numbers: A unifying approach," Journal of Mathematical Economics, Elsevier, vol. 100(C).
    3. Victor Ginsburgh & Shlomo Weber, 2020. "The Economics of Language," Journal of Economic Literature, American Economic Association, vol. 58(2), pages 348-404, June.
    4. Bich, Philippe & Chateauneuf, Alain & Ventura, Caroline, 2023. "Social tension order: A new approach to inequality reduction," Journal of Mathematical Economics, Elsevier, vol. 108(C).
    5. Domínguez Jurado, José Miguel & Triguero-Ruiz, Francisco & Avila-Cano, Antonio, 2021. "Firm growth in the 21st century: Does the Andalusian economy comply with Gibrat’s Law?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 577(C).
    6. Aisling J. Daly & Jan M. Baetens & Bernard De Baets, 2018. "Ecological Diversity: Measuring the Unmeasurable," Mathematics, MDPI, vol. 6(7), pages 1-28, July.

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    More about this item

    Keywords

    Diversity index; Consistency; Axioms; Entropy; Fractionalization;
    All these keywords.

    JEL classification:

    • F51 - International Economics - - International Relations, National Security, and International Political Economy - - - International Conflicts; Negotiations; Sanctions
    • F63 - International Economics - - Economic Impacts of Globalization - - - Economic Development
    • Z13 - Other Special Topics - - Cultural Economics - - - Economic Sociology; Economic Anthropology; Language; Social and Economic Stratification

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