Power set extensions of dichotomous preferences

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Date
2016Version
Acceso abierto / Sarbide irekia
Type
Artículo / Artikulua
Version
Versión aceptada / Onetsi den bertsioa
Project Identifier
ES/6PN/ECO2012-34202 ES/1PE/ECO2015-65031
Impact
|
10.1016/j.mathsocsci.2016.06.004
Abstract
This paper is devoted to the study of how to extend a dichotomous
partition of a universal set X into good and bad objects to an ordering
on the power set of X. We introduce 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 two rules that are
particularly appealing when it comes to compating ...
[++]
This paper is devoted to the study of how to extend a dichotomous
partition of a universal set X into good and bad objects to an ordering
on the power set of X. We introduce 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 two rules that are
particularly appealing when it comes to compating sets in which the
good [--]
Subject
Dichotomy,
Objects,
Set extensions,
Ranking sets
Publisher
Elsevier
Published in
Mathematical Social Sciences 83 (2016) 20–29
Departament
Universidad Pública de Navarra. Departamento de Economía /
Nafarroako Unibertsitate Publikoa. Ekonomia Saila
Publisher version
Sponsorship
R. Arlegi
gratefully acknowledges financial support from the Spanish Ministry of Education,
projects ECO2012-34202 and ECO2015-65031-R.