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Similarity of Options and the Measurement of Diversity

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  • Walter Bossert
  • Prasanta K. Pattanaik
  • Yongsheng Xu

Abstract

This article 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

  • Walter Bossert & Prasanta K. Pattanaik & Yongsheng Xu, 2003. "Similarity of Options and the Measurement of Diversity," Journal of Theoretical Politics, , vol. 15(4), pages 405-421, October.
    • Handle: RePEc:sae:jothpo:v:15:y:2003:i:4:p:405-421
    DOI: 10.1177/0951692803154004
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    1. 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.
    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. Klaus Nehring & Clemens Puppe, 2002. "A Theory of Diversity," Econometrica, Econometric Society, vol. 70(3), pages 1155-1198, May.
    4. Prasanta K. PATTANAIK & Yongsheng XU, 1990. "On Ranking Opportunity Sets in Terms of Freedom of Choice," Discussion Papers (REL - Recherches Economiques de Louvain) 1990036, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    5. BOSSERT, Walter & PATTANAIK, Prasanta K. & XU, Yongsheng, 2001. "The Measurement of Diversity," Cahiers de recherche 2001-17, Universite de Montreal, Departement de sciences economiques.
    6. Martin L. Weitzman, 1992. "On Diversity," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 363-405.
    7. 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. Kanbur, Ravi & Rajaram, Prem Kumar & Varshney, Ashutosh, 2011. "Ethnic Diversity and Ethnic Strife. An Interdisciplinary Perspective," World Development, Elsevier, vol. 39(2), pages 147-158, February.
    2. Peter Nijkamp & Jacques Poot, 2015. "Cultural Diversity - A Matter of Measurement," RF Berlin - CReAM Discussion Paper Series 1502, Rockwool Foundation Berlin (RF Berlin) - Centre for Research and Analysis of Migration (CReAM).
    3. Antoinette Baujard, 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.
    4. Courtois, Pierre & Figuières, Charles & Mulier, Chloe, 2019. "A Tale of Two Diversities," Ecological Economics, Elsevier, vol. 159(C), pages 133-147.
    5. Martin Hees, 2010. "The specific value of freedom," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(4), pages 687-703, October.
    6. Stéphanie Aulong & Katrin Erdlenbruch & C. Figuières, 2005. "Un tour d'horizon des critères d'évaluation de la diversité biologique," Post-Print hal-00452144, HAL.
    7. Marcello Basili & Stefano Vannucci, 2013. "Diversity as width," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(3), pages 913-936, March.
    8. Bervoets, Sebastian & Gravel, Nicolas, 2007. "Appraising diversity with an ordinal notion of similarity: An axiomatic approach," Mathematical Social Sciences, Elsevier, vol. 53(3), pages 259-273, May.
    9. 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.
    10. 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.
    11. Gaetano Gaballo & Ernesto Savaglio, 2012. "On revealed diversity," Working Papers 254, ECINEQ, Society for the Study of Economic Inequality.
    12. Mariateresa Ciommi & Ernesto Savaglio, 2015. "On multidimensional diversity orderings with categorical variables," Department of Economics University of Siena 711, Department of Economics, University of Siena.
    13. Alberto Alesina & Eliana La Ferrara, 2003. "Ethnic Diversity and Economic Performance," Harvard Institute of Economic Research Working Papers 2028, Harvard - Institute of Economic Research.
    14. 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.
    15. Gaetano Gaballo & Ernesto Savaglio, 2012. "On Revealed Diversity," Department of Economics University of Siena 635, Department of Economics, University of Siena.
    16. Philipp Kolo, 2012. "Measuring a New Aspect of Ethnicity - The Appropriate Diversity Index," Ibero America Institute for Econ. Research (IAI) Discussion Papers 221, Ibero-America Institute for Economic Research.

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