A characterization of two-agent Pareto representable orderings
Candeal, Juan C. (Universidad de Zaragoza)
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
Factor impacto JCR: 2.2 (2023)
Categ. JCR: PSYCHOLOGY, MATHEMATICAL rank: 4 / 13 = 0.308 (2023) - Q2 - T1
Categ. JCR: MATHEMATICS, INTERDISCIPLINARY APPLICATIONS rank: 39 / 135 = 0.289 (2023) - Q2 - T1
Categ. JCR: SOCIAL SCIENCES, MATHEMATICAL METHODS rank: 17 / 67 = 0.254 (2023) - Q2 - T1
Factor impacto CITESCORE: 3.7 - Psychology (all) (Q2) - Applied Mathematics (Q2)
Factor impacto SCIMAGO: 0.938 - Psychology (miscellaneous) (Q1) - Applied Mathematics (Q1)
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)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material.
Exportado de SIDERAL (2024-11-22-12:12:16)
Visitas y descargas
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
Factor impacto JCR: 2.2 (2023)
Categ. JCR: PSYCHOLOGY, MATHEMATICAL rank: 4 / 13 = 0.308 (2023) - Q2 - T1
Categ. JCR: MATHEMATICS, INTERDISCIPLINARY APPLICATIONS rank: 39 / 135 = 0.289 (2023) - Q2 - T1
Categ. JCR: SOCIAL SCIENCES, MATHEMATICAL METHODS rank: 17 / 67 = 0.254 (2023) - Q2 - T1
Factor impacto CITESCORE: 3.7 - Psychology (all) (Q2) - Applied Mathematics (Q2)
Factor impacto SCIMAGO: 0.938 - Psychology (miscellaneous) (Q1) - Applied Mathematics (Q1)
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)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material. Exportado de SIDERAL (2024-11-22-12:12:16)
Permalink:
Visitas y descargas
Este artículo se encuentra en las siguientes colecciones:
Articles > Artículos por área > Fundamentos del Análisis Económico
Record created 2023-11-29, last modified 2024-11-25