The Measurement of Diversity

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The Measurement of Diversity

Author Info

BOSSERT, Walter
PATTANAIK, Prasanta K.
XU, Yongsheng

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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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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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Paper
- Bossert, W. & Pattanaik, P.K. & Xu, Y., 2001. "The Measurement of Diversity," Cahiers de recherche 2001-17, Centre interuniversitaire de recherche en économie quantitative, CIREQ.

Find related papers by JEL classification:
D60 - Microeconomics - - Welfare Economics - - - General
D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

Weitzman, Martin L, 1992. "On Diversity," The Quarterly Journal of Economics, MIT Press, vol. 107(2), pages 363-405, May. [Downloadable!] (restricted)
Other versions:
- 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. [Downloadable!] (restricted)
Other versions:
- Prasanta K. Pattanaik & Yongsheng Xu,, . "On Diversity and Freedom of Choice," Discussion Papers 97/18, University of Nottingham, School of Economics.
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.
Other versions:
- BARBERA, Salvador & BOSSERT, Walter & PATTANAIK, Prasanta K., 2001. "Ranking Sets of Objects," Cahiers de recherche 2001-02, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
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. [Downloadable!] (restricted)

Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

Vito Peragine & Antonio Romero-Medina, . "On Preference, Freedom and Diversity," series 0003, Dipartimento di Scienze Economiche - Università di Bari. [Downloadable!]
Other versions:
- Vito Peragine & Antonio Romero-Medina, 2006. "On Preference, Freedom and Diversity," Social Choice and Welfare, Springer, vol. 27(1), pages 29-40, August. [Downloadable!] (restricted)
Antoinette Baujard, 2007. "Conceptions of freedom and ranking opportunity sets. A typology," Post-Print halshs-00294466_v1, HAL. [Downloadable!]
Other versions:
- Antoinette Baujard (CREM - CNRS), 2006. "Conceptions of freedom and ranking opportunity sets. A typology," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 200611, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS. [Downloadable!]
Marcello Basili & Stefano Vannucci, 2007. "Diversity as Width," Department of Economics University of Siena 500, Department of Economics, University of Siena. [Downloadable!]
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. [Downloadable!]
Other versions:
- BOSSERT, Walter & D’AMBROSIO, Conchita & LA FERRARA, Eliana, 2008. "A Generalized Index of Fractionalization," Cahiers de recherche 2008-01, Universite de Montreal, Departement de sciences economiques. [Downloadable!]

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