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Preference intensity and cardinality

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  • José Gutiérrez

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

Suggested Citation

  • José Gutiérrez, 2014. "Preference intensity and cardinality," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(2), pages 739-748, July.
    • Handle: RePEc:spr:topjnl:v:22:y:2014:i:2:p:739-748
    DOI: 10.1007/s11750-013-0290-z
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    References listed on IDEAS

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    1. Basu, Kaushik, 1983. "Cardinal utility, utilitarianism, and a class of invariance axioms in welfare analysis," Journal of Mathematical Economics, Elsevier, vol. 12(3), pages 193-206, December.
    2. Alcantud, J. C. R. & Gutierrez, J. M., 1999. "Preference through indifference: a topological approach," Journal of Mathematical Economics, Elsevier, vol. 31(4), pages 543-551, May.
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