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Unit representation of semiorders I: Countable sets

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  • Denis Bouyssou

    (LAMSADE - Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision - Université Paris Dauphine-PSL - PSL - Université Paris Sciences et Lettres - CNRS - Centre National de la Recherche Scientifique)

  • Marc Pirlot

    (Faculté polytechnique de Mons - UMONS - Université de Mons / University of Mons)

Abstract

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  • Denis Bouyssou & Marc Pirlot, 2021. "Unit representation of semiorders I: Countable sets," Post-Print hal-03280649, HAL.
    • Handle: RePEc:hal:journl:hal-03280649
    DOI: 10.1016/j.jmp.2021.102566
    Note: View the original document on HAL open archive server: https://hal.science/hal-03280649
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    References listed on IDEAS

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    1. Avraham Beja & Itzhak Gilboa, 1989. "Numerical Representations of Imperfectly Ordered Preferences (A Unified Geometric Exposition," Discussion Papers 836, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    2. Candeal, Juan Carlos & Indurain, Esteban & Zudaire, Margarita, 2002. "Numerical representability of semiorders," Mathematical Social Sciences, Elsevier, vol. 43(1), pages 61-77, January.
    3. Marc Pirlot, 1990. "Minimal representation of a semiorder," ULB Institutional Repository 2013/165863, ULB -- Universite Libre de Bruxelles.
    4. Abrísqueta, Francisco J. & Candeal, Juan C. & Induráin, Esteban & Zudaire, Margarita, 2009. "Scott-Suppes representability of semiorders: Internal conditions," Mathematical Social Sciences, Elsevier, vol. 57(2), pages 245-261, March.
    5. Fuad Aleskerov & Denis Bouyssou & Bernard Monjardet, 2007. "Utility Maximization, Choice and Preference," Springer Books, Springer, edition 0, number 978-3-540-34183-3, June.
    6. Gensemer, Susan H., 1988. "On numerical representations of semiorders," Mathematical Social Sciences, Elsevier, vol. 15(3), pages 277-286, June.
    7. Gensemer, Susan H., 1987. "On relationships between numerical representations of interval orders and semiorders," Journal of Economic Theory, Elsevier, vol. 43(1), pages 157-169, October.
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