IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v54y2014icp138-142.html
   My bibliography  Save this article

Axiomatization of weighted (separable) utility

Author

Listed:
  • Blavatskyy, Pavlo

Abstract

Nontrivial decision problems typically involve a trade-off among multiple attributes of choice options. One simple way of resolving such trade-offs is to aggregate multiple attributes into one real-valued index, known as weighted or separable utility. Applications of weighted utility can be found in choice under risk (expected utility) and uncertainty (subjective expected utility), intertemporal choice (discounted utility) and welfare economics (utilitarian social welfare function). This paper presents an alternative behavioral characterization (preference axiomatization) of weighted utility. It is shown that necessary and sufficient conditions for weighted utility are completeness, continuity, bi-separable transitivity (and transitivity if none of the attributes is null, or inessential).

Suggested Citation

  • Blavatskyy, Pavlo, 2014. "Axiomatization of weighted (separable) utility," Journal of Mathematical Economics, Elsevier, vol. 54(C), pages 138-142.
  • Handle: RePEc:eee:mateco:v:54:y:2014:i:c:p:138-142
    DOI: 10.1016/j.jmateco.2013.12.009
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304406814000020
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.jmateco.2013.12.009?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Pavlo Blavatskyy, 2013. "A Simple Behavioral Characterization of Subjective Expected Utility," Operations Research, INFORMS, vol. 61(4), pages 932-940, August.
    2. Blavatskyy, Pavlo R., 2012. "The Troika paradox," Economics Letters, Elsevier, vol. 115(2), pages 236-239.
    3. Veronika Köbberling & Peter P. Wakker, 2003. "Preference Foundations for Nonexpected Utility: A Generalized and Simplified Technique," Mathematics of Operations Research, INFORMS, vol. 28(3), pages 395-423, August.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Pavlo R. Blavatskyy, 2023. "Intertemporal choice with savoring of yesterday," Theory and Decision, Springer, vol. 94(3), pages 539-554, April.
    2. Blavatskyy, Pavlo, 2018. "Fechner’s strong utility model for choice among n>2 alternatives: Risky lotteries, Savage acts, and intertemporal payoffs," Journal of Mathematical Economics, Elsevier, vol. 79(C), pages 75-82.
    3. Blavatskyy, Pavlo, 2016. "Probability weighting and L-moments," European Journal of Operational Research, Elsevier, vol. 255(1), pages 103-109.
    4. Blavatskyy, Pavlo R., 2017. "Probabilistic intertemporal choice," Journal of Mathematical Economics, Elsevier, vol. 73(C), pages 142-148.
    5. H Zank, 2004. "Deriving Rank-Dependent Expected Utility Through Probabilistic Consistency," Economics Discussion Paper Series 0409, Economics, The University of Manchester.
    6. Dagsvik, John K., 2015. "Stochastic models for risky choices: A comparison of different axiomatizations," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 81-88.
    7. Mohammed Abdellaoui & Horst Zank, 2023. "Source and rank-dependent utility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(4), pages 949-981, May.
    8. Ulrich Schmidt & Horst Zank, 2012. "A genuine foundation for prospect theory," Journal of Risk and Uncertainty, Springer, vol. 45(2), pages 97-113, October.
    9. Katarzyna Werner & Horst Zank, 2012. "Foundations for Prospect Theory Through Probability Midpoint Consistency," Economics Discussion Paper Series 1210, Economics, The University of Manchester.
    10. Castagnoli, Erio & LiCalzi, Marco, 2006. "Benchmarking real-valued acts," Games and Economic Behavior, Elsevier, vol. 57(2), pages 236-253, November.
    11. Pavlo Blavatskyy, 2020. "Expected discounted utility," Theory and Decision, Springer, vol. 88(2), pages 297-313, March.
    12. Pan, Jinrui & Webb, Craig S. & Zank, Horst, 2015. "An extension of quasi-hyperbolic discounting to continuous time," Games and Economic Behavior, Elsevier, vol. 89(C), pages 43-55.
    13. Xiangyu Qu, 2015. "Purely subjective extended Bayesian models with Knightian unambiguity," Theory and Decision, Springer, vol. 79(4), pages 547-571, December.
    14. Denis Bouyssou & Thierry Marchant, 2011. "Subjective expected utility without preferences," Post-Print hal-02359811, HAL.
    15. Alon, Shiri & Schmeidler, David, 2014. "Purely subjective Maxmin Expected Utility," Journal of Economic Theory, Elsevier, vol. 152(C), pages 382-412.
    16. Alon, Shiri, 2015. "Worst-case expected utility," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 43-48.
    17. Dean, Mark & Ortoleva, Pietro, 2017. "Allais, Ellsberg, and preferences for hedging," Theoretical Economics, Econometric Society, vol. 12(1), January.
    18. Shiri Alon, 2014. "Derivation of a Cardinal Utility Through a Weak Trade-off Consistency Requirement," Mathematics of Operations Research, INFORMS, vol. 39(2), pages 290-300, May.
    19. Blavatskyy, Pavlo, 2015. "Intertemporal choice with different short-term and long-term discount factors," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 139-143.
    20. Horst Zank, 2007. "On the Paradigm of Loss Aversion," Economics Discussion Paper Series 0710, Economics, The University of Manchester.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:mateco:v:54:y:2014:i:c:p:138-142. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jmateco .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.