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Diversity as Width

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  • Marcello Basili

    ()

  • Stefano Vannucci

    ()

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

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Paper provided by Department of Economics, University of Siena in its series Department of Economics University of Siena with number 500.

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Date of creation: Apr 2007
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Handle: RePEc:usi:wpaper:500
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  • 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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  1. 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.
  2. Vito Peragine & Antonio Romero-Medina, 2006. "On Preference, Freedom and Diversity," Social Choice and Welfare, Springer, vol. 27(1), pages 29-40, August.
  3. Sebastian Bervoets & Nicolas Gravel, 2003. "Appraising diversity with an ordinal notion of similarity: an Axiomatic approach," IDEP Working Papers 0308, Institut d'economie publique (IDEP), Marseille, France.
  4. Stefano Vannucci, 2006. "On Concept Lattices of Efficiently Solvable Voting Protocols," Department of Economics University of Siena 489, Department of Economics, University of Siena.
  5. Weitzman, Martin L, 1992. "On Diversity," The Quarterly Journal of Economics, MIT Press, vol. 107(2), pages 363-405, May.
  6. Prasanta K. Pattanaik & Yongsheng Xu,, . "On Diversity and Freedom of Choice," Discussion Papers 97/18, University of Nottingham, School of Economics.
  7. Martin van Hees, 2004. "Freedom of choice and diversity of options: Some difficulties," Social Choice and Welfare, Springer, vol. 22(1), pages 253-266, 02.
  8. 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.
  9. Prasanta K. Pattanaik & Yongsheng Xu,, . "On Preference and Freedom," Discussion Papers 96/1, University of Nottingham, School of Economics.
  10. Martin L. Weitzman, 1998. "The Noah's Ark Problem," Econometrica, Econometric Society, vol. 66(6), pages 1279-1298, November.
  11. BARBERA, Salvador & BOSSERT, Walter & PATTANAIK, Prasanta K., 2001. "Ranking Sets of Objects," Cahiers de recherche 2001-02, Universite de Montreal, Departement de sciences economiques.
  12. Nehring,K. und C.Puppe, 1999. "A Theory of Diversity," Discussion Paper Serie A 605, University of Bonn, Germany.
  13. Weitzman, M.L., 1992. "Diversity Functions," Harvard Institute of Economic Research Working Papers 1610, Harvard - Institute of Economic Research.
  14. Nehring, Klaus & Puppe, Clemens, 2003. "Diversity and dissimilarity in lines and hierarchies," Mathematical Social Sciences, Elsevier, vol. 45(2), pages 167-183, April.
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Cited by:

  1. Gaetano Gaballo & Ernesto Savaglio, 2012. "On Revealed Diversity," Department of Economics University of Siena 635, Department of Economics, University of Siena.
  2. Stefano Vannucci, 2011. "Widwast Choice," Department of Economics University of Siena 629, Department of Economics, University of Siena.

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