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Foundations for Group Decision Analysis

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  • Ralph L. Keeney

    (Fuqua School of Business, Duke University, Durham, North Carolina 27708)

Abstract

This paper derives a general prescriptive model for group decision analysis based on a set of logical and operational assumptions analogous to those for individual decision analysis. The approach accounts for each group member's potentially different frames of their common decision, including different events and different consequences of concern. Assuming that each group member accepts the decision analysis assumptions to evaluate his or her analysis of what the group should do and that the group accepts an analogous set of decision analysis assumptions for the group's decision, it is proven that the group expected utility for an alternative should be a weighted sum of the individual member's expected utilities for the alternatives. After each group member does his or her decision analysis of the group's alternatives, the essence of the group decision analysis is to specify the weights based on the interpersonal comparison of utilities and on the relative importance or power of each individual in the group.

Suggested Citation

  • Ralph L. Keeney, 2013. "Foundations for Group Decision Analysis," Decision Analysis, INFORMS, vol. 10(2), pages 103-120, June.
  • Handle: RePEc:inm:ordeca:v:10:y:2013:i:2:p:103-120
    DOI: 10.1287/deca.2013.0265
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    References listed on IDEAS

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    1. Mongin, Philippe, 1998. "The paradox of the Bayesian experts and state-dependent utility theory," Journal of Mathematical Economics, Elsevier, vol. 29(3), pages 331-361, April.
    2. Ralph Keeney & Robert Nau, 2011. "A theorem for Bayesian group decisions," Journal of Risk and Uncertainty, Springer, vol. 43(1), pages 1-17, August.
    3. James S. Dyer & Rakesh K. Sarin, 1979. "Group Preference Aggregation Rules Based on Strength of Preference," Management Science, INFORMS, vol. 25(9), pages 822-832, September.
    4. Peter C. Fishburn, 1965. "Independence in Utility Theory with Whole Product Sets," Operations Research, INFORMS, vol. 13(1), pages 28-45, February.
    5. Ralph L. Keeney, 1976. "A Group Preference Axiomatization with Cardinal Utility," Management Science, INFORMS, vol. 23(2), pages 140-145, October.
    6. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63(4), pages 309-309.
    7. Chambers, Christopher P. & Hayashi, Takashi, 2006. "Preference aggregation under uncertainty: Savage vs. Pareto," Games and Economic Behavior, Elsevier, vol. 54(2), pages 430-440, February.
    8. Mongin Philippe, 1995. "Consistent Bayesian Aggregation," Journal of Economic Theory, Elsevier, vol. 66(2), pages 313-351, August.
    9. Manel Baucells & Rakesh K. Sarin, 2003. "Group Decisions with Multiple Criteria," Management Science, INFORMS, vol. 49(8), pages 1105-1118, August.
    10. Hylland, Aanund & Zeckhauser, Richard J, 1979. "The Impossibility of Bayesian Group Decision Making with Separate Aggregation of Beliefs and Values," Econometrica, Econometric Society, vol. 47(6), pages 1321-1336, November.
    11. Robert F. Bordley, 2009. "Combining the Opinions of Experts Who Partition Events Differently," Decision Analysis, INFORMS, vol. 6(1), pages 38-46, March.
    12. James S. Dyer & Ralph F. Miles, 1976. "An Actual Application of Collective Choice Theory to the Selection of Trajectories for the Mariner Jupiter/Saturn 1977 Project," Operations Research, INFORMS, vol. 24(2), pages 220-244, April.
    13. Ramsey, Frank P., 1926. "Truth and Probability," Histoy of Economic Thought Chapters, in: Braithwaite, R. B. (ed.),The Foundations of Mathematics and other Logical Essays, chapter 7, pages 156-198, McMaster University Archive for the History of Economic Thought.
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