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The Minimal Hilbert Basis of the Hammond Order Cone

Author

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  • Ramses H. Abul Naga

    (Departamento de Teoría e Historia Económica, Universidad de Málaga.)

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.

Suggested Citation

  • Ramses H. Abul Naga, 2022. "The Minimal Hilbert Basis of the Hammond Order Cone," Working Papers 2022-02, Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center.
    • Handle: RePEc:mal:wpaper:2022-2
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