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.
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The useful suggestions provided by the referees are gratefully acknowledged.
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Gutiérrez, J.M. Preference intensity and cardinality. TOP 22, 739–748 (2014). https://doi.org/10.1007/s11750-013-0290-z
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DOI: https://doi.org/10.1007/s11750-013-0290-z