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Invariance of Multiattribute Utility Functions under Shift Transformations

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An Erratum to this article was published on 30 July 2009

Abstract.

We present the general solutions, continuous at a point, of some functional equations on open subsets of the n-dimensional real space, originating from invariance of n-attribute utility functions under shift transformations. The utility functions are assumed to be nonconstant. We discuss invariance (i) on all attributes; (ii) on a proper subset of the attributes, and (iii) invariance with identical values of the shift parameters.

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Authors and Affiliations

  1. Industrial and Enterprise Systems Engineering, University of Illinois at Urbana-Champaign, 104 South Mathews Avenue, Urbana, Illinois, 61801, USA

    Ali Abbas

  2. Department of Pure Mathematics, University of Waterloo, 200 University Ave. W, Waterloo, ON, N2L 3G1, Canada

    János Aczél

  3. Department of Mathematics, University of Rzeszów, Rejtana 16 A, PL-35-310, Rzeszów, Poland

    Jacek Chudziak

Authors
  1. Ali Abbas
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  2. János Aczél
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  3. Jacek Chudziak
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Corresponding author

Correspondence to Ali Abbas.

Additional information

Received: October 14, 2007. Revised: November 26, 2007.

An erratum to this article is available at http://dx.doi.org/10.1007/s00025-009-0418-5.

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Abbas, A., Aczél, J. & Chudziak, J. Invariance of Multiattribute Utility Functions under Shift Transformations. Results. Math. 54, 1–13 (2009). https://doi.org/10.1007/s00025-007-0266-0

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  • DOI: https://doi.org/10.1007/s00025-007-0266-0

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