doi:10.1016/j.jmp.2023.102806engCandeal, Juan C.A characterization of two-agent Pareto representable orderingsART-2023-135603Partial orders defined on a nonempty set X admitting a two-agent Pareto representation are characterized. The characterization is based upon the fulfillment of two axioms. The first one entails the existence, for any point x € X, of a very particular decomposition of the points which are incomparable to x. The second one encodes a separability condition. Our approach is then applied to show that if the cardinality of X is, at most, 5, then a two-agent Pareto representation always exists whereas this need not be the case otherwise. The connection with the concept of the dimension of a poset is also discussed. Certain examples are also presented that illustrate the scope of our tools.2023http://zaguan.unizar.es/record/12822710.1016/j.jmp.2023.102806http://zaguan.unizar.es/record/128227oai:zaguan.unizar.es:128227info:eu-repo/grantAgreement/ES/MICINN/PID2019-108348RA-I00JOURNAL OF MATHEMATICAL PSYCHOLOGY 116 (2023), 102806 [6 pp.]by-nc-ndhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccess