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The minimal Hilbert basis of the Hammond order cone
dc.contributor.author | Abul Naga, Ramses H | |
dc.date.accessioned | 2022-08-25T09:06:59Z | |
dc.date.available | 2022-08-25T09:06:59Z | |
dc.date.issued | 2022-07-11 | |
dc.identifier.citation | Abul Naga, R.H. The minimal Hilbert basis of the Hammond order cone. Econ Theory Bull (2022). https://doi.org/10.1007/s40505-022-00226-2 | es_ES |
dc.identifier.uri | https://hdl.handle.net/10630/24815 | |
dc.description.abstract | We characterize the minimal Hilbert basis of the Hammond order cone, and present several novel applications of the resulting basis. From the basis, we extract an invertible matrix, that provides a numerical representation of the Hammond order relation. The basis also enables the construction of a space—that we call the Hammond order lattice—where order-extensions of the Hammond order (i.e. more complete relations) may be derived. Finally, we introduce a class of maximal linearly independent Hilbert bases, in which the specific results derived in relation to the Hammond order cone, are shown to hold more generally. | es_ES |
dc.description.sponsorship | Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. Funding for open access charge: Universidad de Málaga / CBUA. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Springer | es_ES |
dc.rights | info:eu-repo/semantics/openAccess | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
dc.subject | Hilbert, Algebras de | es_ES |
dc.subject.other | Measurement of social welfare | es_ES |
dc.subject.other | Order relations induced by convex cones | es_ES |
dc.subject.other | Hammond order | es_ES |
dc.subject.other | Hilbert bases | es_ES |
dc.title | The minimal Hilbert basis of the Hammond order cone | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.centro | Facultad de Ciencias Económicas y Empresariales | es_ES |
dc.identifier.doi | https://doi.org/10.1007/s40505-022-00226-2 | |
dc.rights.cc | Atribución 4.0 Internacional | * |
dc.type.hasVersion | info:eu-repo/semantics/publishedVersion | es_ES |