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Decisional Power in Group Decision Making: A Note on the Allocation of Group Members' Weights in the Multiplicative AHP and SMART

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  • R.C. Van den Honert

    (University of Cape Town)

Abstract

Many complex decisions are made in a group environment, where the decision is made jointly by a committee or group structure. The individual group members are often not equally qualified to contribute equitably to the decision process, or may have different saliences (desires) to influence the decision. A quantitative knowledge of the players' decisional power is useful for better understanding of the group decision process, and could even be used in weighted voting within the group structure. We adapt the REMBRANDT suite of decision models (multiplicative AHP and SMART) to measure decisional power in groups, and we generalise this to cater for the case where power itself is deemed to be multidimensional in nature, and the case of uncertain subjective judgements of power amongst group members.

Suggested Citation

  • R.C. Van den Honert, 2001. "Decisional Power in Group Decision Making: A Note on the Allocation of Group Members' Weights in the Multiplicative AHP and SMART," Group Decision and Negotiation, Springer, vol. 10(3), pages 275-286, May.
    • Handle: RePEc:spr:grdene:v:10:y:2001:i:3:d:10.1023_a:1011201501379
    DOI: 10.1023/A:1011201501379
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    Cited by:

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    4. Hsu-Shih Shih, 2016. "A Mixed-Data Evaluation in Group TOPSIS with Differentiated Decision Power," Group Decision and Negotiation, Springer, vol. 25(3), pages 537-565, May.
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    7. te Boveldt, Geert & Van Raemdonck, Koen & Macharis, Cathy, 2018. "A new railway tunnel under Brussels? Assessing political feasibility and desirability with competence-based multi criteria analysis," Transport Policy, Elsevier, vol. 66(C), pages 30-39.
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    10. Tom Pape, 2020. "Value of agreement in decision analysis: Concept, measures and application," Papers 2012.13816, arXiv.org.
    11. Sasaki, Yasuo, 2023. "Strategic manipulation in group decisions with pairwise comparisons: A game theoretical perspective," European Journal of Operational Research, Elsevier, vol. 304(3), pages 1133-1139.
    12. María Teresa Escobar & José María Moreno-jiménez, 2007. "Aggregation of Individual Preference Structures in Ahp-Group Decision Making," Group Decision and Negotiation, Springer, vol. 16(4), pages 287-301, July.
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    14. Hahn, Eugene D., 2006. "Link function selection in stochastic multicriteria decision making models," European Journal of Operational Research, Elsevier, vol. 172(1), pages 86-100, July.
    15. Pape, Tom, 2017. "Value of agreement in decision analysis: concept, measures and application," LSE Research Online Documents on Economics 68682, London School of Economics and Political Science, LSE Library.
    16. Qiang Yang & Ping-an Du & Yong Wang & Bin Liang, 2018. "Developing a rough set based approach for group decision making based on determining weights of decision makers with interval numbers," Operational Research, Springer, vol. 18(3), pages 757-779, October.

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