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A Note on Linear Utility

Author

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  • Candeal-Haro, Juan Carlos
  • Indurain-Eraso, Esteban

Abstract

We show that any complete, lower-semicontinuous, and translation-invariant preorder defined on a topological vector space admits a linear and continuous utility representation.

Suggested Citation

  • Candeal-Haro, Juan Carlos & Indurain-Eraso, Esteban, 1995. "A Note on Linear Utility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(3), pages 519-522, November.
    • Handle: RePEc:spr:joecth:v:6:y:1995:i:3:p:519-22
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    Cited by:

    1. Uyanik, Metin & Khan, M. Ali, 2022. "The continuity postulate in economic theory: A deconstruction and an integration," Journal of Mathematical Economics, Elsevier, vol. 101(C).
    2. Jon Eguia, 2013. "On the spatial representation of preference profiles," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(1), pages 103-128, January.
    3. Candeal, Juan Carlos & Induráin, Esteban & Molina, José Alberto, 2007. "Interpersonal Comparisons of Utility: An Algebraic Characterization of Projective Preorders and Some Welfare Consequences," IZA Discussion Papers 2594, Institute of Labor Economics (IZA).
    4. José Faro, 2013. "Cobb-Douglas preferences under uncertainty," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(2), pages 273-285, October.
    5. Cerruti, Gianluca & Lombardini, Simone, 2022. "Financial bubbles as a recursive process lead by short-term strategies," International Review of Economics & Finance, Elsevier, vol. 82(C), pages 555-568.

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