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A Group Preference Axiomatization with Cardinal Utility

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  • Ralph L. Keeney

    (International Institute for Applied Systems Analysis, Laxenburg, Austria)

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    Abstract

    Given a group composed of N individuals and given that each has rated all of the alternatives using a cardinal utility function, the problem is to aggregate these to obtain a group cardinal utility function for evaluating each alternative. The cardinal utilities indicate the strength of preference of one alternative relative to others as well as order the alternatives. Five assumptions, which seem reasonable for the aggregation, are postulated, and it is shown the group cardinal utility function which is implied must be a linear combination of the individual cardinal utility functions. For assessing such a function, interpersonal comparisons of preferences are required. Suggestions for who should make these comparisons and how they might be done are given.

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    File URL: http://dx.doi.org/10.1287/mnsc.23.2.140
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    Bibliographic Info

    Article provided by INFORMS in its journal Management Science.

    Volume (Year): 23 (1976)
    Issue (Month): 2 (October)
    Pages: 140-145

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    Handle: RePEc:inm:ormnsc:v:23:y:1976:i:2:p:140-145

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    Cited by:
    1. Munnich, Akos & Maksa, Gyula & J. Mokken, Robert, 1999. "Collective judgement: combining individual value judgements," Mathematical Social Sciences, Elsevier, vol. 37(3), pages 211-233, May.
    2. Lori J. Curtis & Martin D. Dooley & Ellen L. Lipman & David H. Feeny, 2001. "The role of permanent income and family structure in the determination of child health in Canada," Health Economics, John Wiley & Sons, Ltd., vol. 10(4), pages 287-302.
    3. González-Pachón, Jacinto & Romero, Carlos, 2011. "The design of socially optimal decisions in a consensus scenario," Omega, Elsevier, vol. 39(2), pages 179-185, April.
    4. Joseph Kadane & Javier Girón & Daniel Peña & Peter Fishburn & Simon French & D. Lindley & Giovanni Parmigiani & Robert Winkler, 1993. "Several Bayesians: A review," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 2(1), pages 1-32, December.
    5. Thomas Saaty & Luis Vargas, 2012. "The possibility of group choice: pairwise comparisons and merging functions," Social Choice and Welfare, Springer, vol. 38(3), pages 481-496, March.
    6. Salo, Ahti A., 1995. "Interactive decision aiding for group decision support," European Journal of Operational Research, Elsevier, vol. 84(1), pages 134-149, July.

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