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Good and Bad Objects: Cardinality-Based Rules

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  • Dimitrov, D.A.
  • Borm, P.E.M.
  • Hendrickx, R.L.P.

    (Tilburg University, Center for Economic Research)

Abstract

We consider the problem of ranking sets of objects, the members of which are mutually compatible.Assuming that each object is either good or bad, we axiomatically characterize three cardinality-based rules which arise naturally in this dichotomous setting.They are what we call the symmetric difference rule, the lexicographic good-bad rule, and the lexicographic bad-good rule.Each of these rules induces a unique additive separable preference relation over the set of all groups of objects.

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Bibliographic Info

Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2003-49.

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Date of creation: 2003
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Handle: RePEc:dgr:kubcen:200349

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Keywords: welfare economics; ranking;

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  1. Barbera, S. & Sonnenschein, H., 1988. "Voting By Quota And Committee," UFAE and IAE Working Papers 95-88, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  2. Salvador Barbera & Hugo Sonnenschein & Lin Zhou, 1990. "Voting by Committees," Cowles Foundation Discussion Papers 941, Cowles Foundation for Research in Economics, Yale University.
  3. Barbera, S. & Bossert, W. & Pattanaik, P.K., 2001. "Ranking Sets of Objects," Cahiers de recherche 2001-02, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
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