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Szeparábilitási koncepciók és a reprezentációs tétel Nachbin-féle megközelítése
[Urishon-Nachbin approach to utility representation theorem]

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  • Magyarkuti, Gyula

Abstract

Primarily following Bridges-Mehta (1995) and Herden-Pallack (2002), this paper is a discussion of the equivalent re-formalizations of the utility representation problem. Our contribution to this widely discussed theory of economic literature is that we consider the representation theorem as a consequence of the Urishon's lemma. Note that Debreu's celebrated Gap-lemma is not used here. It is substituted by one of the most standardized tools of the topology of early 20th century; the Nachbin's version of the Urishon's-lemma.

Suggested Citation

  • Magyarkuti, Gyula, 2008. "Szeparábilitási koncepciók és a reprezentációs tétel Nachbin-féle megközelítése [Urishon-Nachbin approach to utility representation theorem]," MPRA Paper 20171, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:20171
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    File URL: https://mpra.ub.uni-muenchen.de/20171/1/MPRA_paper_20171.pdf
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    References listed on IDEAS

    as
    1. Herden, Gerhard & Pallack, Andreas, 2002. "On the continuous analogue of the Szpilrajn Theorem I," Mathematical Social Sciences, Elsevier, vol. 43(2), pages 115-134, March.
    2. Herden, G., 1995. "On some equivalent approaches to Mathematical Utility Theory," Mathematical Social Sciences, Elsevier, vol. 29(1), pages 19-31, February.
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    More about this item

    Keywords

    Utility representation; Urishon's lemma; Nachbin's lemma;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General

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