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Diversity as Width

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  • Marcello Basili

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  • Stefano Vannucci

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Abstract

It is argued that if the population of options is a finite poset, diversity comparisons may be conveniently based on widths i.e. on the respective maximum numbers of pairwise incomparable options included in the relevant subposets. The width-ranking and the undominated width-ranking are introduced and characterized

Suggested Citation

  • Marcello Basili & Stefano Vannucci, 2007. "Diversity as Width," Department of Economics University of Siena 500, Department of Economics, University of Siena.
    • Handle: RePEc:usi:wpaper:500
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    References listed on IDEAS

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    1. Martin van Hees, 2004. "Freedom of choice and diversity of options: Some difficulties," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 22(1), pages 253-266, February.
    2. 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.
    3. Stefano Vannucci, 2006. "On Concept Lattices of Efficiently Solvable Voting Protocols," Department of Economics University of Siena 489, Department of Economics, University of Siena.
    4. Pattanaik, Prasanta K. & Xu, Yongsheng, 2000. "On diversity and freedom of choice," Mathematical Social Sciences, Elsevier, vol. 40(2), pages 123-130, September.
    5. Klaus Nehring & Clemens Puppe, 2002. "A Theory of Diversity," Econometrica, Econometric Society, vol. 70(3), pages 1155-1198, May.
    6. BOSSERT, Walter & PATTANAIK, Prasanta K. & XU, Yongsheng, 2001. "The Measurement of Diversity," Cahiers de recherche 2001-17, Universite de Montreal, Departement de sciences economiques.
    7. Martin L. Weitzman, 1998. "The Noah's Ark Problem," Econometrica, Econometric Society, vol. 66(6), pages 1279-1298, November.
    8. Martin L. Weitzman, 1992. "On Diversity," The Quarterly Journal of Economics, Oxford University Press, vol. 107(2), pages 363-405.
    9. Grabisch, Michel, 2006. "Representation of preferences over a finite scale by a mean operator," Mathematical Social Sciences, Elsevier, vol. 52(2), pages 131-151, September.
    10. 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.
    11. Prasanta Pattanaik & Yongsheng Xu, 1998. "On Preference and Freedom," Theory and Decision, Springer, vol. 44(2), pages 173-198, April.
    12. 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.
    13. Nehring, Klaus & Puppe, Clemens, 2003. "Diversity and dissimilarity in lines and hierarchies," Mathematical Social Sciences, Elsevier, vol. 45(2), pages 167-183, April.
    14. Weitzman, M.L., 1992. "Diversity Functions," Harvard Institute of Economic Research Working Papers 1610, Harvard - Institute of Economic Research.
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    Cited by:

    1. Gaetano Gaballo & Ernesto Savaglio, 2012. "On revealed diversity," Working Papers 254, ECINEQ, Society for the Study of Economic Inequality.
    2. Stefano Vannucci, 2011. "Widwast Choice," Department of Economics University of Siena 629, Department of Economics, University of Siena.

    More about this item

    JEL classification:

    • D00 - Microeconomics - - General - - - General
    • Q00 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - General - - - General
    • Z00 - Other Special Topics - - General - - - General

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