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Similarity of Options and the Measurement of Diversity

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  • BOSSERT, Walter
  • PATTANAIK, Prasanta K.
  • XU, Yongsheng

Abstract

This paper analyzes the measurement of the diversity of sets based on the dissimilarity of the objects contained in the set. We discuss axiomatic approaches to diversity measurement and examine the considerations underlying the application of specific measures. Our focus is on descriptive issues: rather than assuming a specific ethical position or restricting attention to properties that are appealing in specific applications, we address the foundations of the measurement issue as such in the context of diversity.

Suggested Citation

  • BOSSERT, Walter & PATTANAIK, Prasanta K. & XU, Yongsheng, 2002. "Similarity of Options and the Measurement of Diversity," Cahiers de recherche 2002-11, Universite de Montreal, Departement de sciences economiques.
  • Handle: RePEc:mtl:montde:2002-11
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    File URL: http://hdl.handle.net/1866/379
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    References listed on IDEAS

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    1. Pattanaik, Prasanta K. & Xu, Yongsheng, 2000. "On diversity and freedom of choice," Mathematical Social Sciences, Elsevier, vol. 40(2), pages 123-130, September.
    2. Klaus Nehring & Clemens Puppe, 2002. "A Theory of Diversity," Econometrica, Econometric Society, vol. 70(3), pages 1155-1198, May.
    3. Martin L. Weitzman, 1992. "On Diversity," The Quarterly Journal of Economics, Oxford University Press, vol. 107(2), pages 363-405.
    4. Barbera, S. & Bossert, W. & Pattanaik, P.K., 2001. "Ranking Sets of Objects," Cahiers de recherche 2001-02, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    5. Sen, Amartya, 1991. "Welfare, preference and freedom," Journal of Econometrics, Elsevier, vol. 50(1-2), pages 15-29, October.
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    Cited by:

    1. Hao, Yu & Xue, Melanie Meng, 2017. "Friends from afar: The Taiping Rebellion, cultural proximity and primary schooling in the Lower Yangzi, 1850–1949," Explorations in Economic History, Elsevier, vol. 63(C), pages 44-69.
    2. Ricardo Arlegi, 2005. "Freedom Of Choice And Conflict Resolution," Documentos de Trabajo - Lan Gaiak Departamento de Economía - Universidad Pública de Navarra 0502, Departamento de Economía - Universidad Pública de Navarra.
    3. 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.

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    Keywords

    diversity; similarity; measurement;

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