 Aggregating incomplete rankingsYasunori Okumura Mathematical Social Sciences, 2025, vol. 136, issue C Abstract: This study considers a method for deriving a ranking of alternatives by aggregating the rankings submitted by multiple individuals, each of whom need not evaluate all of the alternatives. We call the collection of subsets of alternatives that individuals can evaluate an evaluability profile. For a given evaluability profile, we define an aggregating ranking function whose inputs are the rankings provided by individuals on the alternatives that they evaluate. We investigate the properties of such functions, focusing on modified versions of the properties originally introduced by Arrow and his followers. Whether there exists an aggregating ranking function that satisfies a given combination of the properties depends on the evaluability profile. Accordingly, we identify the necessary and sufficient conditions on evaluability profiles to ensure the existence of functions that satisfy four different combinations of the properties. Finally, we discuss whether these properties are satisfied in a real-world scenario. Keywords: Aggregating ranking function; Social welfare function; Evaluability profile; Pareto principle; Arrow’s impossibility result; Peer rating (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:matsoc:v:136:y:2025:i:c:s0165489625000381 DOI: 10.1016/j.mathsocsci.2025.102423 Access Statistics for this article Mathematical Social Sciences is currently edited by J.-F. Laslier More articles in Mathematical Social Sciences from Elsevier |
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