Numerical representations of imperfectly ordered preferences (a unified geometric exposition)

Itzhak Gilboa and Avraham Beja
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Avraham Beja: TAU - Tel Aviv University

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Abstract: This paper uses "generalized numerical representations" to extend some of the result of utility theory regarding imperfectly ordered preferences in general and semiordered preferences in particular. It offers a unified geometric approach, which helps visualize how the increasingly stringent conditions of suborders, interval orders, semiorders, and weak orders give rise to increasingly intuitive representations. The differences between the proposed framework and the more traditional utility representations are especially significant in the context of uncountable sets

Keywords: Preference; Representation; Mathematical model; Utility theory; Human; Modèle mathématique; Théorie utilité; Homme (search for similar items in EconPapers)
Date: 1992-09
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Citations: View citations in EconPapers (19)

Published in Journal of Mathematical Psychology, 1992, Vol.36, n°3, pp. 426-449. ⟨10.1016/0022-2496(92)90030-B⟩

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Working Paper: Numerical Representations of Imperfectly Ordered Preferences (A Unified Geometric Exposition (1989)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-00481383

DOI: 10.1016/0022-2496(92)90030-B

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