Preference intensity and cardinality

• José Manuel Gutiérrez ^[1]
  1. [1] Universidad de Salamanca

     Universidad de Salamanca

     Salamanca, España

     
• Localización: Top, ISSN-e 1863-8279, ISSN 1134-5764, Vol. 22, Nº. 2, 2014, págs. 739-748
• Idioma: inglés
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• Resumen

  • 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.