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Constructive Utility Functions on Banach spaces

Author

Listed:
  • Jose C. R. Alcantud

    (Universidad de Salamanca)

  • Ghanshyam B. Mehta

    (University of Queensland)

Abstract

In this paper we prove the existence of continuous order-preserving functions on subsets of ordered Banach spaces using a constructive approach.

Suggested Citation

  • Jose C. R. Alcantud & Ghanshyam B. Mehta, 2005. "Constructive Utility Functions on Banach spaces," Microeconomics 0502003, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpmi:0502003
    Note: Type of Document - pdf; pages: 10
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    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/mic/papers/0502/0502003.pdf
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    References listed on IDEAS

    as
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    6. Mehta, Ghanshyam B. & Monteiro, Paulo Klinger, 1996. "Infinite-dimensional utility representation theorems," Economics Letters, Elsevier, vol. 53(2), pages 169-173, November.
    7. Herden, Gerhard & Mehta, Ghanshyam B, 1996. "Open Gaps, Metrization and Utility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(3), pages 541-546, April.
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    12. Mehta, Ghanshyam B., 1995. "Metric utility functions," Journal of Economic Behavior & Organization, Elsevier, vol. 26(2), pages 289-298, March.
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    Cited by:

    1. Gori, Michele & Pianigiani, Giulio, 2010. "On the Arrow-Hahn utility representation method," Mathematical Social Sciences, Elsevier, vol. 59(3), pages 282-287, May.

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    More about this item

    Keywords

    Utility function Banach space;

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

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