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The Measurement of Diversity

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Author Info

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

Abstract

The notion of diversity is an issue that is of relevance in several contexts. For example, the biodiversity of a given ecological environment and the diversity of the options available to a decision maker have attracted some attention in recent research. 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. We prove that the latter special case is equivalent to a diversity ordering proposed by Weitzman.

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File URL: http://hdl.handle.net/1866/357
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Bibliographic Info

Paper provided by Universite de Montreal, Departement de sciences economiques 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:montde:2001-17

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Keywords: diversity; distance measures;

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References

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  1. 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.
  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. 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.
  4. Weitzman, M.L., 1991. "On Diversity," Harvard Institute of Economic Research Working Papers 1553, Harvard - Institute of Economic Research.
  5. Nehring,K. und C.Puppe, 1999. "A Theory of Diversity," Discussion Paper Serie A 605, University of Bonn, Germany.
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Cited by:
  1. Alberto Alesina & Eliana La Ferrara, 2004. "Ethnic Diversity and Economic Performance," Development Working Papers 193, Centro Studi Luca d\'Agliano, University of Milano.
  2. Antoinette Baujard, 2007. "Conceptions of freedom and ranking opportunity sets. A typology," Post-Print halshs-00294466, HAL.
  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.
  4. Martin Hees, 2010. "The specific value of freedom," Social Choice and Welfare, Springer, vol. 35(4), pages 687-703, October.
  5. Vito Peragine & Antonio Romero-Medina, 2006. "On Preference, Freedom and Diversity," Social Choice and Welfare, Springer, vol. 27(1), pages 29-40, August.
  6. Nehring, Klaus & Puppe, Clemens, 2003. "Diversity and dissimilarity in lines and hierarchies," Mathematical Social Sciences, Elsevier, vol. 45(2), pages 167-183, April.
  7. Marcello Basili & Stefano Vannucci, 2007. "Diversity as Width," Department of Economics University of Siena 500, Department of Economics, University of Siena.

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