The Measurement of Diversity
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.
|Date of creation:||2001|
|Date of revision:|
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- Martin L. Weitzman, 1992.
The Quarterly Journal of Economics,
Oxford University Press, vol. 107(2), pages 363-405.
- Weitzman, M.L., 1991. "On Diversity," Harvard Institute of Economic Research Working Papers 1553, Harvard - Institute of Economic Research.
- Pattanaik, Prasanta K. & Xu, Yongsheng, 2000.
"On diversity and freedom of choice,"
Mathematical Social Sciences,
Elsevier, vol. 40(2), pages 123-130, September.
- Klaus Nehring & Clemens Puppe, 2002.
"A Theory of Diversity,"
Econometric Society, vol. 70(3), pages 1155-1198, May.
- 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.
- 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.
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