IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v25y1979i10p1035-1041.html
   My bibliography  Save this article

Note--A Delegation Process for Combining Individual Utility Functions

Author

Listed:
  • Samuel E. Bodily

    (University of Virginia)

Abstract

A delegation process is proposed for setting the weights when a weighted sum of individual utility functions is used to make group decisions. Conditions under which a unique set of weights exist and methods for calculating these weights are obtained using the theory of Markov chains. It is shown that the Pareto optimal set at each step of delegation is a subset of the Pareto optimal set at the previous step.

Suggested Citation

  • Samuel E. Bodily, 1979. "Note--A Delegation Process for Combining Individual Utility Functions," Management Science, INFORMS, vol. 25(10), pages 1035-1041, October.
    • Handle: RePEc:inm:ormnsc:v:25:y:1979:i:10:p:1035-1041
    DOI: 10.1287/mnsc.25.10.1035
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.25.10.1035
    Download Restriction: no
    File URL: https://libkey.io/10.1287/mnsc.25.10.1035?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
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zeshui Xu & Xiaoqiang Cai, 2013. "On Consensus of Group Decision Making with Interval Utility Values and Interval Preference Orderings," Group Decision and Negotiation, Springer, vol. 22(6), pages 997-1019, November.
    2. Salo, Ahti A., 1995. "Interactive decision aiding for group decision support," European Journal of Operational Research, Elsevier, vol. 84(1), pages 134-149, July.
    3. Yinfeng Du & Dun Liu, 2021. "A novel approach to relative importance ratings of customer requirements in QFD based on probabilistic linguistic preferences," Fuzzy Optimization and Decision Making, Springer, vol. 20(3), pages 365-395, September.
    4. Zeshui Xu & Xiaoqiang Cai, 2012. "Minimizing Group Discordance Optimization Model for Deriving Expert Weights," Group Decision and Negotiation, Springer, vol. 21(6), pages 863-875, November.
    5. Khaled Jabeur & Jean-Marc Martel & Slim Ben Khélifa, 2004. "A Distance-Based Collective Preorder Integrating the Relative Importance of the Group's Members," Group Decision and Negotiation, Springer, vol. 13(4), pages 327-349, July.
    6. Patricia Jaramillo & Ricardo Smith & JoaquÍn Andréu, 2005. "Multi-Decision-Makers Equalizer: A Multiobjective Decision Support System for Multiple Decision-Makers," Annals of Operations Research, Springer, vol. 138(1), pages 97-111, September.
    7. Sen Liu & Wei Yu & Ling Liu & Yanan Hu, 2019. "Variable weights theory and its application to multi-attribute group decision making with intuitionistic fuzzy numbers on determining decision maker’s weights," PLOS ONE, Public Library of Science, vol. 14(3), pages 1-21, March.
    8. J González-Pachón & C Romero, 2006. "An analytical framework for aggregating multiattribute utility functions," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(10), pages 1241-1247, October.
    9. Tavana, Madjid & Di Caprio, Debora, 2016. "Modeling synergies in multi-criteria supplier selection and order allocation: An application to commodity tradingAuthor-Name: Sodenkamp, Mariya A," European Journal of Operational Research, Elsevier, vol. 254(3), pages 859-874.
    10. Qiang Yang & Ping-an Du & Yong Wang & Bin Liang, 2017. "A rough set approach for determining weights of decision makers in group decision making," PLOS ONE, Public Library of Science, vol. 12(2), pages 1-16, February.
    11. Murr, Andreas E., 2015. "The wisdom of crowds: Applying Condorcet’s jury theorem to forecasting US presidential elections," International Journal of Forecasting, Elsevier, vol. 31(3), pages 916-929.
    12. F B Abdelaziz & J M Martel & A Mselmi, 2004. "IMGD: an interactive method for multiobjective group decision aid," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(5), pages 464-474, May.

    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:inm:ormnsc:v:25:y:1979:i:10:p:1035-1041. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.