An axiomatic analysis of ranking sets under simple categorization
Fecha
2012Versión
Acceso abierto / Sarbide irekia
Tipo
Artículo / Artikulua
Versión
Versión publicada / Argitaratu den bertsioa
Impacto
|
10.1007/s13209-011-0061-8
Resumen
This paper contributes to the axiomatization of additive rules for ranking
sets of objects under the psychological principle of categorization. Firstly we proceed
with the case where the elements in the sets are categorized into at most three groups,
namely good (with value 1), neutral (with value 0), and bad (with value−1). Secondly,
we solve the case where there are only good and neutral el ...
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This paper contributes to the axiomatization of additive rules for ranking
sets of objects under the psychological principle of categorization. Firstly we proceed
with the case where the elements in the sets are categorized into at most three groups,
namely good (with value 1), neutral (with value 0), and bad (with value−1). Secondly,
we solve the case where there are only good and neutral elements. In both instances
the evaluation of the sets is purely additive. Lastly, we show that dropping one of the
axioms in our general characterization produces an axiomatization of the more general
class of evaluations where good and bad elements are weighted differently. Areas
of research in Economics such as committee selection problems, hedonic games and
matching are among the ranking sets models where our results could potentially be
applied. [--]
Materias
Ranking sets,
Additive representation,
Categorization
Editor
Springer
Publicado en
SERIEs, (2012) 3:227–245
Departamento
Universidad Pública de Navarra. Departamento de Economía /
Nafarroako Unibertsitate Publikoa. Ekonomia Saila
Versión del editor
Entidades Financiadoras
José C. R. Alcantud acknowledges financial support from the Spanish Ministerio de Ciencia e Innovación
(Project ECO2009-07682), and from Junta de Castilla y León (Project SA024A08 and GR-99 Funding).
R. Arlegi (corresponding author) acknowledges financial support from the Spanish Ministerio de Ciencia
e Innovación (Projects SEJ2006-11510 and ECO2009-12836), and from Junta de Castilla y León (Project VA040A05).