A characterization of two-agent Pareto representable orderings
Resumen: 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.
Idioma: Inglés
DOI: 10.1016/j.jmp.2023.102806
Año: 2023
Publicado en: JOURNAL OF MATHEMATICAL PSYCHOLOGY 116 (2023), 102806 [6 pp.]
ISSN: 0022-2496

Financiación: info:eu-repo/grantAgreement/ES/MICINN/PID2019-108348RA-I00
Tipo y forma: Article (Published version)
Área (Departamento): Área Fund. Análisis Económico (Dpto. Análisis Económico)

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