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Abul Naga, Ramses H 2022-08-25T09:06:59Z 2022-08-25T09:06:59Z 2022-07-11 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 https://hdl.handle.net/10630/24815 https://doi.org/10.1007/s40505-022-00226-2 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. eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional Hilbert, Algebras de The minimal Hilbert basis of the Hammond order cone journal article