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Note--A Delegation Process for Combining Individual Utility Functions

Author

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  • 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
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    Citations

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    Cited by:

    1. Salo, Ahti A., 1995. "Interactive decision aiding for group decision support," European Journal of Operational Research, Elsevier, vol. 84(1), pages 134-149, July.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    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. 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.
    10. 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.
    11. 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.
    12. 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.

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