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Diversity as Width

  • Marcello Basili

    ()

  • Stefano Vannucci

    ()

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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  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. 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.
  3. BARBERA, Salvador & BOSSERT, Walter & PATTANAIK, Prasanta K., 2001. "Ranking Sets of Objects," Cahiers de recherche 2001-02, Universite de Montreal, Departement de sciences economiques.
  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. Vito Peragine & Antonio Romero-Medina, 2006. "On Preference, Freedom and Diversity," Social Choice and Welfare, Springer, vol. 27(1), pages 29-40, August.
  6. 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.
  7. Klaus Nehring & Clemens Puppe, 2002. "A Theory of Diversity," Econometrica, Econometric Society, vol. 70(3), pages 1155-1198, May.
  8. Weitzman, M.L., 1991. "On Diversity," Harvard Institute of Economic Research Working Papers 1553, Harvard - Institute of Economic Research.
  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. Nehring, Klaus & Puppe, Clemens, 2003. "Diversity and dissimilarity in lines and hierarchies," Mathematical Social Sciences, Elsevier, vol. 45(2), pages 167-183, April.
  11. Pattanaik, P.K. & Xu, Y., 1995. "On preference and Freedom," The A. Gary Anderson Graduate School of Management 95-1a, The A. Gary Anderson Graduate School of Management. University of California Riverside.
  12. Weitzman, M.L., 1992. "Diversity Functions," Harvard Institute of Economic Research Working Papers 1610, Harvard - Institute of Economic Research.
  13. Martin L. Weitzman, 1998. "The Noah's Ark Problem," Econometrica, Econometric Society, vol. 66(6), pages 1279-1298, November.
  14. 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.
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