An axiomatic analysis of ranking sets under simple categorization

Artikel

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.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Journal: SERIEs - Journal of the Spanish Economic Association ; ISSN: 1869-4195 ; Volume: 3 ; Year: 2012 ; Issue: 1/2 ; Pages: 227-245 ; Heidelberg: Springer

Classification and Topics

• Classification: Wirtschaft ; Microeconomic Behavior: Underlying Principles ; Social Choice; Clubs; Committees; Associations ; Criteria for Decision-Making under Risk and Uncertainty
• Subject: ranking sets ; additive representation ; categorization ; Entscheidungstheorie ; Ranking-Verfahren ; Neue politische Ökonomie

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Alcantud, José C. R. ; Arlegi, Ritxar
• Event: Veröffentlichung
• (who): Springer
• (where): Heidelberg
• (when): 2012

Further information

• DOI: doi:10.1007/s13209-011-0061-8
• Handle: http://hdl.handle.net/10419/77769
• Last update: 10.03.2025, 11:44 AM CET