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The Measurement of Diversity

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Author Info

  • Bossert, W.
  • Pattanaik, P.K.
  • Xu, Y.

Abstract

The notion of diversity is an issue that is of relevance in several contexts. This paper provides an axiomatic approach to the measurement of diversity. We characterize two nested classes of ordinal measures of diversity and an important member of these classes.

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Bibliographic Info

Paper provided by Centre interuniversitaire de recherche en économie quantitative, CIREQ in its series Cahiers de recherche with number 2001-17.

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Length: 11 pages
Date of creation: 2001
Date of revision:
Handle: RePEc:mtl:montec:2001-17

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Keywords: DIVERSITY ; MEASURES;

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References

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  1. Nehring,K. und C.Puppe, 1999. "A Theory of Diversity," Discussion Paper Serie A 605, University of Bonn, Germany.
  2. Pattanaik, Prasanta K. & Xu, Yongsheng, 2000. "On diversity and freedom of choice," Mathematical Social Sciences, Elsevier, vol. 40(2), pages 123-130, September.
  3. Nitzan, Shmuel I. & Pattanaik, Prasanta K., 1984. "Median-based extensions of an ordering over a set to the power set: An axiomatic characterization," Journal of Economic Theory, Elsevier, vol. 34(2), pages 252-261, December.
  4. Weitzman, M.L., 1991. "On Diversity," Harvard Institute of Economic Research Working Papers 1553, Harvard - Institute of Economic Research.
  5. 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.
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Citations

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Cited by:
  1. Walter Bossert & Conchita D’Ambrosio & Eliana Laferrara, 2006. "A Generalized Index of Fractionalization," Working Papers 313, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
  2. Alberto Alesina & Eliana La Ferrara, 2003. "Ethnic Diversity and Economic Performance," Harvard Institute of Economic Research Working Papers 2028, Harvard - Institute of Economic Research.
  3. Antoinette Baujard, 2007. "Conceptions of freedom and ranking opportunity sets. A typology," Post-Print halshs-00294466, HAL.
  4. Nehring, Klaus & Puppe, Clemens, 2003. "Diversity and dissimilarity in lines and hierarchies," Mathematical Social Sciences, Elsevier, vol. 45(2), pages 167-183, April.
  5. Marcello Basili & Stefano Vannucci, 2013. "Diversity as width," Social Choice and Welfare, Springer, vol. 40(3), pages 913-936, March.
  6. Martin Hees, 2010. "The specific value of freedom," Social Choice and Welfare, Springer, vol. 35(4), pages 687-703, October.
  7. Vito Peragine & Antonio Romero-Medina, 2006. "On Preference, Freedom and Diversity," Social Choice and Welfare, Springer, vol. 27(1), pages 29-40, August.

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