128227 20241125101202.0 doi 10.1016/j.jmp.2023.102806 sideral 135603 ART-2023-135603 eng Candeal, Juan C. Universidad de Zaragoza (orcid)0000-0002-3841-8774 A characterization of two-agent Pareto representable orderings 2023 Access copy available to the general public Unrestricted Partial 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. info:eu-repo/grantAgreement/ES/MICINN/PID2019-108348RA-I00 info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 2.2 2023 PSYCHOLOGY, MATHEMATICAL 4 / 13 = 0.308 2023 Q2 T1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS 39 / 135 = 0.289 2023 Q2 T1 SOCIAL SCIENCES, MATHEMATICAL METHODS 17 / 67 = 0.254 2023 Q2 T1 0.938 2023 Psychology (miscellaneous) 2023 Q1 Applied Mathematics 2023 Q1 3.7 2023 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion 4000 415 Universidad de Zaragoza Dpto. Análisis Económico Área Fund. Análisis Económico 116 (2023), 102806 [6 pp.] J. math. psychol. JOURNAL OF MATHEMATICAL PSYCHOLOGY 0022-2496 381880 http://zaguan.unizar.es/record/128227/files/texto_completo.pdf Versión publicada 3178531 http://zaguan.unizar.es/record/128227/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:128227 articulos driver 2024-11-22-12:12:16 ARTICLE