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On revealed diversity

  • Gaetano Gaballo

    (Banque de France)

  • Ernesto Savaglio

    ()

    (DEC, University of Pescara and GRASS)

We introduce and characterize axiomatically a diversity criterion, capturing individual dissimilarity as ‘revealed’ by the different best-choices that members of a society select from a set of opportunities. Diversity ordering is induced by a class of frequency-based evaluation functions, the one element of which is the celebrated diversity measure, Shannon entropy.

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File URL: http://www.ecineq.org/milano/WP/ECINEQ2012-254.pdf
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Paper provided by ECINEQ, Society for the Study of Economic Inequality in its series Working Papers with number 254.

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Length: 18 pages
Date of creation: May 2012
Date of revision:
Handle: RePEc:inq:inqwps:ecineq2012-254
Contact details of provider: Web page: http://www.ecineq.org
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  1. Prasanta K. Pattanaik & Yongsheng Xu,, . "On Preference and Freedom," Discussion Papers 96/1, University of Nottingham, School of Economics.
  2. Sudgen, Robert, 1998. "The Metric of Opportunity," Economics and Philosophy, Cambridge University Press, vol. 14(02), pages 307-337, October.
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  5. Gil Kalai & Ariel Rubenstein & Ran Spiegler, 2001. "Rationalizing Choice Functions by Multiple Rationales," Economics Working Papers 0010, Institute for Advanced Study, School of Social Science.
  6. Foley Duncan K., 1994. "A Statistical Equilibrium Theory of Markets," Journal of Economic Theory, Elsevier, vol. 62(2), pages 321-345, April.
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  8. Jones, Peter & Sugden, Robert, 1982. "Evaluating choice," International Review of Law and Economics, Elsevier, vol. 2(1), pages 47-65, June.
  9. Marcello Basili & Stefano Vannucci, 2007. "Diversity as Width," Department of Economics University of Siena 500, Department of Economics, University of Siena.
  10. 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.
  11. Patrick Suppes, 1996. "The nature and measurement of freedom," Social Choice and Welfare, Springer, vol. 13(2), pages 183-200, April.
  12. Amartya SEN, 1990. "Welfare, Freedom and Social Choice: a Reply," Discussion Papers (REL - Recherches Economiques de Louvain) 1990040, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  13. Klaus Nehring & Clemens Puppe, 2002. "A Theory of Diversity," Econometrica, Econometric Society, vol. 70(3), pages 1155-1198, May.
  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.
  15. 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).
  16. Sven Erlander, 2005. "Welfare, freedom of choice and composite utility in the logit model," Social Choice and Welfare, Springer, vol. 24(3), pages 509-525, 06.
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