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A numerical representation of acyclic preferences when non-comparability and indifference are concepts with different meaning

Leobardo Plata-Perez ()
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Leobardo Plata-Perez: Universidad Autonoma de San Luis Potosi

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EconoQuantum, Revista de Economia y Finanzas, 2004, vol. 1, issue 0, 17-23

Abstract: The use of utility functions implies transitivity and completeness of preferences. Empirical evidence shows that these conditions fail in several individual cases. Acyclicity of preferences represents an interesting weakness of preference rationality, because it admits intransitivity of indifference and noncomparability between some alternatives. Utility correspondences were introduced by Subiza (1994) as a numerical representations of acyclic preferences. Subiza's framework is modified in this paper in order to obtain numerical representations in which we can interpret non-comparability and indifference as concepts with different meaning. Both concepts have been considered with the same meaning in the standard presentations that assume strict preference as a primitive concept.

Date: 2004
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