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Numerical representability of semiorders

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  • Candeal, Juan Carlos
  • Indurain, Esteban
  • Zudaire, Margarita

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  • Candeal, Juan Carlos & Indurain, Esteban & Zudaire, Margarita, 2002. "Numerical representability of semiorders," Mathematical Social Sciences, Elsevier, vol. 43(1), pages 61-77, January.
    • Handle: RePEc:eee:matsoc:v:43:y:2002:i:1:p:61-77
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    References listed on IDEAS

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    1. Agaev, Rafig & Aleskerov, Fuad, 1993. "Interval choice: classic and general cases," Mathematical Social Sciences, Elsevier, vol. 26(3), pages 249-272, November.
    2. Gensemer, Susan H., 1988. "On numerical representations of semiorders," Mathematical Social Sciences, Elsevier, vol. 15(3), pages 277-286, June.
    3. Peter C. Fishburn, 1970. "Intransitive Indifference in Preference Theory: A Survey," Operations Research, INFORMS, vol. 18(2), pages 207-228, April.
    4. Vincke, Philippe, 1980. "Linear Utility Functions on Semiordered Mixture Spaces," Econometrica, Econometric Society, vol. 48(3), pages 771-775, April.
    5. Marc Pirlot, 1990. "Minimal representation of a semiorder," ULB Institutional Repository 2013/165863, ULB -- Universite Libre de Bruxelles.
    6. Bosi, Gianni & Isler, Romano, 1995. "Representing preferences with nontransitive indifference by a single real-valued function," Journal of Mathematical Economics, Elsevier, vol. 24(7), pages 621-631.
    7. Yew-Kwang Ng, 1975. "Bentham or Bergson? Finite Sensibility, Utility Functions and Social Welfare Functions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 42(4), pages 545-569.
    8. Oloriz, Esteban & Candeal, Juan Carlos & Indurain, Esteban, 1998. "Representability of Interval Orders," Journal of Economic Theory, Elsevier, vol. 78(1), pages 219-227, January.
    9. Jamison, Dean T & Lau, Lawrence J, 1977. "The Nature of Equilibrium with Semiordered Preferences," Econometrica, Econometric Society, vol. 45(7), pages 1595-1605, October.
    10. 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.
    11. Gensemer, Susan H., 1987. "Continuous semiorder representations," Journal of Mathematical Economics, Elsevier, vol. 16(3), pages 275-289, June.
    12. Bridges, Douglas S., 1985. "Representing interval orders by a single real-valued function," Journal of Economic Theory, Elsevier, vol. 36(1), pages 149-155, June.
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    Cited by:

    1. 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.
    2. Denis Bouyssou & Marc Pirlot, 2004. "Preferences for multi-attributed alternatives: Traces, Dominance, and Numerical Representations," Post-Print hal-00004104, HAL.
    3. Denis Bouyssou & Marc Pirlot, 2021. "Unit representation of semiorders I: Countable sets," Post-Print hal-02918005, HAL.
    4. A. Estevan, 2020. "Debreu's open gap lemma for semiorders," Papers 2010.04265, arXiv.org.
    5. Denis Bouyssou & Marc Pirlot, 2021. "Unit representation of semiorders I: Countable sets," Post-Print hal-03280649, HAL.
    6. Marley, A. A. J., 2002. "Random utility models and their applications: recent developments," Mathematical Social Sciences, Elsevier, vol. 43(3), pages 289-302, July.

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