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On revealed diversity

Author

Listed:
  • Gaetano Gaballo

    (Banque de France)

  • Ernesto Savaglio

    () (DEC, University of Pescara and GRASS)

Abstract

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.

Suggested Citation

  • Gaetano Gaballo & Ernesto Savaglio, 2012. "On revealed diversity," Working Papers 254, ECINEQ, Society for the Study of Economic Inequality.
  • Handle: RePEc:inq:inqwps:ecineq2012-254
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    File URL: http://www.ecineq.org/milano/WP/ECINEQ2012-254.pdf
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    References listed on IDEAS

    as
    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.
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    6. Pattanaik, Prasanta K. & Xu, Yongsheng, 2000. "On Ranking Opportunity Sets in Economic Environments," Journal of Economic Theory, Elsevier, vol. 93(1), pages 48-71, July.
    7. 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.
    8. Patrick Suppes, 1996. "The nature and measurement of freedom," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(2), pages 183-200, April.
    9. 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.
    10. Prasanta Pattanaik & Yongsheng Xu, 1998. "On Preference and Freedom," Theory and Decision, Springer, vol. 44(2), pages 173-198, April.
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    13. 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).
    14. 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).
    15. Jones, Peter & Sugden, Robert, 1982. "Evaluating choice," International Review of Law and Economics, Elsevier, vol. 2(1), pages 47-65, June.
    16. Sen, Amartya, 1991. "Welfare, preference and freedom," Journal of Econometrics, Elsevier, vol. 50(1-2), pages 15-29, October.
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    More about this item

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • I31 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - General Welfare, Well-Being

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