Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/77769
Authors: 
Alcantud, José C. R.
Arlegi, Ritxar
Year of Publication: 
2012
Citation: 
[Journal:] SERIEs - Journal of the Spanish Economic Association [ISSN:] 1869-4195 [Publisher:] Springer [Place:] Heidelberg [Volume:] 3 [Year:] 2012 [Issue:] 1/2 [Pages:] 227-245
Abstract: 
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.
Subjects: 
ranking sets
additive representation
categorization
JEL: 
D01
D71
D81
Persistent Identifier of the first edition: 
Creative Commons License: 
http://creativecommons.org/licenses/by/2.0/
Document Type: 
Article

Files in This Item:
File
Size
284.42 kB





Items in EconStor are protected by copyright, with all rights reserved, unless otherwise indicated.