Ranking rankings: an axiomatic analysis

Eric Rémila, Philippe Solal and Zoi Terzopoulou ()
Additional contact information
Eric Rémila: UJM Saint-Etienne
Philippe Solal: UJM Saint-Etienne
Zoi Terzopoulou: UJM Saint-Etienne

Theory and Decision, 2025, vol. 99, issue 3, No 4, 593-626

Abstract: Abstract Various occasions require that an individual ranks others in her environment based on how these others rank her; consider a company that seeks an employee who values her back, and a student that works better with a professor who also appreciates her strengths. We introduce a formal framework for the ranking of rankings. A set of objects are weakly ranked by a set of items, and a given object (e.g., the company or the student) must obtain a weak ranking of the items (e.g., all employees or all professors) that depends on their provided rankings of the objects. To conduct an axiomatic analysis of this setting, we propose several normative properties that apply to solutions for the ranking of rankings. Our axioms are inspired by analogous properties in the fields of decision and social choice theory, such as anonymity, monotonicity, and independence. By considering combinations of different axioms, we characterise natural families of solutions, as well as unique solutions therein: lexicographic solutions, and a scoring one.

Keywords: Reciprocity; Axiomatic method; Decision rule (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s11238-025-10027-1 Abstract (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:kap:theord:v:99:y:2025:i:3:d:10.1007_s11238-025-10027-1

Ordering information: This journal article can be ordered from
http://www.springer. ... ry/journal/11238/PS2

DOI: 10.1007/s11238-025-10027-1

Access Statistics for this article

Theory and Decision is currently edited by Mohammed Abdellaoui

More articles in Theory and Decision from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().