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Diversity as width

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  • Marcello Basili
  • Stefano Vannucci

Abstract

It is argued that if a finite partially ordered population is given, and incomparability is taken as the relevant type of dissimilarity, then diversity comparisons between subpopulations may be conveniently based on widths namely on the maximum number of pairwise incomparable units they include. We introduce two width-based rankings. The first one is the plain width-ranking of subposets as induced by width computation. The second one is the undominated width-ranking of subposets namely the ranking induced by the sizes of undominated subposets. Simple axiomatic characterizations of the foregoing rankings are provided. Copyright Springer-Verlag 2013

Suggested Citation

  • 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.
    • Handle: RePEc:spr:sochwe:v:40:y:2013:i:3:p:913-936
    DOI: 10.1007/s00355-011-0649-8
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    Cited by:

    1. Mauro Caminati, 2021. "Knowledge distance and R&D collaboration in Cournot oligopoly," Metroeconomica, Wiley Blackwell, vol. 72(1), pages 57-81, February.
    2. Gaetano Gaballo & Ernesto Savaglio, 2012. "On Revealed Diversity," Department of Economics University of Siena 635, Department of Economics, University of Siena.
    3. Gaetano Gaballo & Ernesto Savaglio, 2012. "On revealed diversity," Working Papers 254, ECINEQ, Society for the Study of Economic Inequality.
    4. Stefano Vannucci, 2011. "Widwast Choice," Department of Economics University of Siena 629, Department of Economics, University of Siena.

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    JEL classification:

    • D00 - Microeconomics - - General - - - General
    • Q00 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - General - - - General
    • Z00 - Other Special Topics - - General - - - General

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