Preference intensity and cardinality

José Gutiérrez ()

TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, 2014, vol. 22, issue 2, 739-748

Abstract: Beyond its mathematization, preference intensity is a relevant concept, more general than cardinal representable preference, and an according axiomatic definition is introduced, dispensing with the Archimedean assumption. Given a preference intensity, a uniform space (generating the order topology of the induced preference) is associated to it. If the preference intensity is representable, this uniformity is semimetrizable. A “uniqueness” result for preference intensities leads naturally to the hypothesis of compactness. Through the uniformity corresponding to the preference intensity, compactness can be characterized. Copyright Sociedad de Estadística e Investigación Operativa 2014

Keywords: Preference intensity; Cardinal utility; Order topology; 91B16; 54F05 (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s11750-013-0290-z

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