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On Revealed Diversity

  • Gaetano Gaballo

    ()

  • Ernesto Savaglio

    ()

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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Paper provided by Department of Economics, University of Siena in its series Department of Economics University of Siena with number 635.

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Date of creation: Apr 2012
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Handle: RePEc:usi:wpaper:635
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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. Jones, Peter & Sugden, Robert, 1982. "Evaluating choice," International Review of Law and Economics, Elsevier, vol. 2(1), pages 47-65, June.
  3. Sudgen, Robert, 1998. "The Metric of Opportunity," Economics and Philosophy, Cambridge University Press, vol. 14(02), pages 307-337, October.
  4. Sen, Amartya, 1991. "Welfare, preference and freedom," Journal of Econometrics, Elsevier, vol. 50(1-2), pages 15-29, October.
  5. Gil Kalai & Ariel Rubinstein & Ran Spiegler, 2001. "Rationalizing Choice Functions by Multiple Rationales," Discussion Paper Series dp278, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
  6. Nicolas Gravel & Sebastian Bervoets, 2004. "Appraising Diversity with an Ordinal Notion of Similarity: An Axiomatic Approach," Working Papers 2004.45, Fondazione Eni Enrico Mattei.
  7. Marcello Basili & Stefano Vannucci, 2007. "Diversity as Width," Department of Economics University of Siena 500, Department of Economics, University of Siena.
  8. 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.
  9. 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.
  10. 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).
  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. Patrick Suppes, 1996. "The nature and measurement of freedom," Social Choice and Welfare, Springer, vol. 13(2), pages 183-200, April.
  13. Nehring,K. und C.Puppe, 1999. "A Theory of Diversity," Discussion Paper Serie A 605, University of Bonn, Germany.
  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 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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