Good and Bad Objects: Cardinality-Based Rules

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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.
Original languageEnglish
Place of PublicationTilburg
PublisherOperations research
Number of pages14
Volume2003-49
Publication statusPublished - 2003

Publication series

NameCentER Discussion Paper
Volume2003-49

Keywords

  • welfare economics
  • ranking

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