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Numerical Representability of Ordered Topological Spaces with Compatible Algebraic Structure

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An Erratum to this article was published on 11 November 2011

An Erratum to this article was published on 11 November 2011

Abstract

We analyze the numerical representability of total preorders defined on semitopological real algebras through continuous order-preserving real-valued functions that are also additive and multiplicative. The results obtained are used to interpret important concepts arising in Social Choice theory.

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Authors and Affiliations

  1. Departamento de Análisis Económico, Facultad de Ciencias Económicas y Empresariales, Universidad de Zaragoza, Zaragoza, Spain

    Juan C. Candeal & José A. Molina

  2. Departamento de Matemáticas, Universidad Pública de Navarra, Campus Arrosadía, Edificio las Encinas, 31006, Pamplona, Spain

    Esteban Induráin

Authors
  1. Juan C. Candeal
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  2. Esteban Induráin
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  3. José A. Molina
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Correspondence to Esteban Induráin.

Additional information

An erratum to this article can be found at http://dx.doi.org/10.1007/s11083-011-9239-8.

An erratum to this article can be found at http://dx.doi.org/10.1007/s11083-011-9239-8.

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Candeal, J.C., Induráin, E. & Molina, J.A. Numerical Representability of Ordered Topological Spaces with Compatible Algebraic Structure. Order 29, 131–146 (2012). https://doi.org/10.1007/s11083-011-9202-8

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  • DOI: https://doi.org/10.1007/s11083-011-9202-8

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