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Power set extensions of dichotomous preferences

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  • Arlegi, Ritxar
  • Dimitrov, Dinko

Abstract

In this paper we assume that a set X is partitioned into two indifference classes and study several ways in which this dichotomous information can be extended, so as to obtain an ordering of the power set of X. The axioms that we introduce enable such a partition of X to be interpreted as being made out of “good” and “bad” objects. We define a family of rules that naturally take into account the number of good objects and the number of bad objects, and provide axiomatic characterizations of different rules in the family that fit into a variety of decisional situations.

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  • Arlegi, Ritxar & Dimitrov, Dinko, 2016. "Power set extensions of dichotomous preferences," Mathematical Social Sciences, Elsevier, vol. 83(C), pages 20-29.
    • Handle: RePEc:eee:matsoc:v:83:y:2016:i:c:p:20-29
    DOI: 10.1016/j.mathsocsci.2016.06.004
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