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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

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    1. Foley Duncan K., 1994. "A Statistical Equilibrium Theory of Markets," Journal of Economic Theory, Elsevier, vol. 62(2), pages 321-345, April.
    2. Gil Kalai & Ariel Rubinstein & Ran Spiegler, 2002. "Rationalizing Choice Functions By Multiple Rationales," Econometrica, Econometric Society, vol. 70(6), pages 2481-2488, November.
    3. Walter Bossert & Prasanta K. Pattanaik & Yongsheng Xu, 2003. "Similarity of Options and the Measurement of Diversity," Journal of Theoretical Politics, , vol. 15(4), pages 405-421, October.
    4. 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.
    5. 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).
    6. 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).
    7. 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.
    8. Sen, Amartya, 1991. "Welfare, preference and freedom," Journal of Econometrics, Elsevier, vol. 50(1-2), pages 15-29, October.
    9. Sven Erlander, 2005. "Welfare, freedom of choice and composite utility in the logit model," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 24(3), pages 509-525, June.
    10. 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.
    11. Puppe, Clemens, 1996. "An Axiomatic Approach to "Preference for Freedom of Choice"," Journal of Economic Theory, Elsevier, vol. 68(1), pages 174-199, January.
    12. Sudgen, Robert, 1998. "The Metric of Opportunity," Economics and Philosophy, Cambridge University Press, vol. 14(2), pages 307-337, October.
    13. Klaus Nehring & Clemens Puppe, 2002. "A Theory of Diversity," Econometrica, Econometric Society, vol. 70(3), pages 1155-1198, May.
    14. 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.
    15. Prasanta Pattanaik & Yongsheng Xu, 1998. "On Preference and Freedom," Theory and Decision, Springer, vol. 44(2), pages 173-198, April.
    16. Jones, Peter & Sugden, Robert, 1982. "Evaluating choice," International Review of Law and Economics, Elsevier, vol. 2(1), pages 47-65, June.
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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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