IDEAS home Printed from https://ideas.repec.org/p/mtl/montde/2002-11.html
   My bibliography  Save this paper

Similarity of Options and the Measurement of Diversity

Author

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

Abstract

This paper 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

  • BOSSERT, Walter & PATTANAIK, Prasanta K. & XU, Yongsheng, 2002. "Similarity of Options and the Measurement of Diversity," Cahiers de recherche 2002-11, Universite de Montreal, Departement de sciences economiques.
    • Handle: RePEc:mtl:montde:2002-11
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/1866/379
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Pattanaik, Prasanta K. & Xu, Yongsheng, 2000. "On diversity and freedom of choice," Mathematical Social Sciences, Elsevier, vol. 40(2), pages 123-130, September.
    2. Klaus Nehring & Clemens Puppe, 2002. "A Theory of Diversity," Econometrica, Econometric Society, vol. 70(3), pages 1155-1198, May.
    3. BOSSERT, Walter & PATTANAIK, Prasanta K. & XU, Yongsheng, 2001. "The Measurement of Diversity," Cahiers de recherche 2001-17, Universite de Montreal, Departement de sciences economiques.
    4. Martin L. Weitzman, 1992. "On Diversity," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 363-405.
    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.
    6. 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).
    7. Sen, Amartya, 1991. "Welfare, preference and freedom," Journal of Econometrics, Elsevier, vol. 50(1-2), pages 15-29, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Stéphanie Aulong & Katrin Erdlenbruch & C. Figuières, 2005. "Un tour d'horizon des critères d'évaluation de la diversité biologique," Post-Print hal-00452144, HAL.
    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. Gaetano Gaballo & Ernesto Savaglio, 2012. "On Revealed Diversity," Department of Economics University of Siena 635, Department of Economics, University of Siena.
    4. Antoinette Baujard, 2006. "Conceptions of freedom and ranking opportunity sets. A typology," Economics Working Paper Archive (University of Rennes & University of Caen) 200611, Center for Research in Economics and Management (CREM), University of Rennes, University of Caen and CNRS.
    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. 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.
    7. Gaetano Gaballo & Ernesto Savaglio, 2012. "On revealed diversity," Working Papers 254, ECINEQ, Society for the Study of Economic Inequality.
    8. 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.
    9. 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.
    10. 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).
    11. 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.
    12. Courtois, Pierre & Figuières, Charles & Mulier, Chloe, 2019. "A Tale of Two Diversities," Ecological Economics, Elsevier, vol. 159(C), pages 133-147.
    13. 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.
    14. 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.
    15. 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.
    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Antoinette Baujard, 2006. "Conceptions of freedom and ranking opportunity sets. A typology," Economics Working Paper Archive (University of Rennes & University of Caen) 200611, Center for Research in Economics and Management (CREM), University of Rennes, University of Caen and CNRS.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. Nehring, Klaus & Puppe, Clemens, 2003. "Diversity and dissimilarity in lines and hierarchies," Mathematical Social Sciences, Elsevier, vol. 45(2), pages 167-183, April.
    8. Arlegi, Ritxar & Dimitrov, Dinko, 2011. "On freedom, lack of information and the preference for easy choices," Center for Mathematical Economics Working Papers 364, Center for Mathematical Economics, Bielefeld University.
    9. Gekker, Ruvin & Piggins, Ashley, 2009. "Evaluating Opportunities When People are Uncertainty Averse," The Economic and Social Review, Economic and Social Studies, vol. 40(1), pages 109-116.
    10. Ronen Shnayderman, 2016. "Ian Carter’s non-evaluative theory of freedom and diversity: a critique," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(1), pages 39-55, January.
    11. Johan Gustafsson, 2010. "Freedom of choice and expected compromise," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(1), pages 65-79, June.
    12. Vito Peragine & Antonio Romero-Medina, 2006. "On Preference, Freedom and Diversity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(1), pages 29-40, August.
    13. 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.
    14. Vito Peragine & Ernesto Savaglio & Stefano Vannucci, 2008. "Poverty Rankings of Opportunity Profiles," Department of Economics University of Siena 548, Department of Economics, University of Siena.
    15. Jimena Galindo & Levent Ülkü, 2020. "Diversity relations over menus," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(2), pages 229-242, August.
    16. Serge-Christophe Kolm, 2003. "Macrojustice : distribution, impôts et transferts optimaux," IDEP Working Papers 0305, Institut d'economie publique (IDEP), Marseille, France.
    17. Sebastian Bervoets, 2007. "Freedom of choice in a social context: comparing game forms," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 29(2), pages 295-315, September.
    18. Gaetano Gaballo & Ernesto Savaglio, 2012. "On revealed diversity," Working Papers 254, ECINEQ, Society for the Study of Economic Inequality.
    19. Itai Sher, 2021. "Neutral freedom and freedom as control," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(1), pages 21-56, January.
    20. Xu, Yongsheng, 2003. "On ranking compact and comprehensive opportunity sets," Mathematical Social Sciences, Elsevier, vol. 45(2), pages 109-119, April.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:mtl:montde:2002-11. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sharon BREWER (email available below). General contact details of provider: https://edirc.repec.org/data/demtlca.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.