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An alternative proof for the linear utility representation theorem

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  • Trockel, Walter

    (Center for Mathematical Economics, Bielefeld University)

Abstract

The paper presents an alternative short proof for the linear utility representation theorem. In particular a generalization of the theorem of Blackwell and Girshick (l954) and a special case of the theorem of Herstein and Milnor(1953) are proved by exploiting the topological group structure of finite-dimensional Euclidean vector space.
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Suggested Citation

  • Trockel, Walter, 2017. "An alternative proof for the linear utility representation theorem," Center for Mathematical Economics Working Papers 197, Center for Mathematical Economics, Bielefeld University.
    • Handle: RePEc:bie:wpaper:197
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    Cited by:

    1. Mishra, Debasis & Sen, Arunava, 2012. "Robertsʼ Theorem with neutrality: A social welfare ordering approach," Games and Economic Behavior, Elsevier, vol. 75(1), pages 283-298.
    2. René van den Brink & Agnieszka Rusinowska, 2023. "Degree Centrality, von Neumann-Morgenstern Expected Utility and Externalities in Networks," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-04188289, HAL.
    3. 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.
    4. van den Brink, René & Rusinowska, Agnieszka, 2022. "The degree measure as utility function over positions in graphs and digraphs," European Journal of Operational Research, Elsevier, vol. 299(3), pages 1033-1044.
    5. Rene (J.R.) van den Brink & Agnieszka Rusinowska, 2017. "The Degree Measure as Utility Function over Positions in Networks," Tinbergen Institute Discussion Papers 17-065/II, Tinbergen Institute.
    6. Herden, Gerhard & Pallack, Andreas, 2002. "Consistency in ordinal data analysis I," Mathematical Social Sciences, Elsevier, vol. 43(1), pages 79-113, January.
    7. 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).
    8. Tapan Mitra & Kemal Ozbek, 2021. "Ranking by weighted sum," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(2), pages 511-532, September.

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