The Copeland ratio ranking method for abstract decision problems

Weibin Han and Adrian Van Deemen

European Journal of Operational Research, 2025, vol. 323, issue 3, 966-974

Abstract: This paper deals with the problem of ranking a finite number of alternatives on the basis of a dominance relation. We firstly investigate some disadvantages of the Copeland ranking method, of the degree ratio ranking method and of the modified degree ratio ranking method which were characterized by using clone properties and classical axiomatic properties. Then, we introduce some alternative axiomatic properties and propose a new ranking method which is defined by the Copeland ratio of alternatives (i.e., the Copeland score of an alternative divided by its total degree). We show that this proposed ranking method coincides with the Copeland ranking method, the degree ratio ranking method and the modified degree ratio ranking method for abstract decision problems with complete and asymmetric dominance relations. Subsequently, we prove that this new ranking method is able to overcome the mentioned disadvantages of these ranking methods. After that, we provide a characterization for the Copeland ratio ranking method using the introduced axiomatic properties.

Keywords: Abstract decision problem; Axiomatization; Copeland ranking method; Degree ratio ranking method; Dominance relation (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:323:y:2025:i:3:p:966-974

DOI: 10.1016/j.ejor.2024.12.042

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