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An analytical framework for aggregating multiattribute utility functions

Author

Listed:
  • J González-Pachón

    (Technical University of Madrid)

  • C Romero

    (Technical University of Madrid)

Abstract

This paper proposes a procedure for aggregating individual cardinal utility functions into a social utility function that represents the preferences of all the individuals as a whole. The procedure is non-interactive and is based upon the determination of the utility consensus values. This is accomplished by minimizing a distance function model that is transformed into an Archimedean goal programming problem. The procedure is applied to a general group multilinear utility function.

Suggested Citation

  • 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.
    • Handle: RePEc:pal:jorsoc:v:57:y:2006:i:10:d:10.1057_palgrave.jors.2602103
    DOI: 10.1057/palgrave.jors.2602103
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    References listed on IDEAS

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    1. A. Charnes & W. W. Cooper & R. O. Ferguson, 1955. "Optimal Estimation of Executive Compensation by Linear Programming," Management Science, INFORMS, vol. 1(2), pages 138-151, January.
    2. Wade D. Cook & Lawrence M. Seiford, 1978. "Priority Ranking and Consensus Formation," Management Science, INFORMS, vol. 24(16), pages 1721-1732, December.
    3. Samuel E. Bodily, 1979. "Note--A Delegation Process for Combining Individual Utility Functions," Management Science, INFORMS, vol. 25(10), pages 1035-1041, October.
    4. Ralph L. Keeney, 1976. "A Group Preference Axiomatization with Cardinal Utility," Management Science, INFORMS, vol. 23(2), pages 140-145, October.
    5. Sen, Amartya Kumar, 1970. "The Impossibility of a Paretian Liberal," Scholarly Articles 3612779, Harvard University Department of Economics.
    6. Sen, Amartya, 1970. "The Impossibility of a Paretian Liberal," Journal of Political Economy, University of Chicago Press, vol. 78(1), pages 152-157, Jan.-Feb..
    7. Keeney,Ralph L. & Raiffa,Howard, 1993. "Decisions with Multiple Objectives," Cambridge Books, Cambridge University Press, number 9780521438834, September.
    8. González-Pachøn, Jacinto & Romero, Carlos, 1999. "Distance-based consensus methods: a goal programming approach," Omega, Elsevier, vol. 27(3), pages 341-347, June.
    9. Manel Baucells & Rakesh K. Sarin, 2003. "Group Decisions with Multiple Criteria," Management Science, INFORMS, vol. 49(8), pages 1105-1118, August.
    10. Forman, Ernest & Peniwati, Kirti, 1998. "Aggregating individual judgments and priorities with the analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 108(1), pages 165-169, July.
    11. Linares, Pedro & Romero, Carlos, 2002. "Aggregation of preferences in an environmental economics context: a goal-programming approach," Omega, Elsevier, vol. 30(2), pages 89-95, April.
    12. Ralph L. Keeney & Craig W. Kirkwood, 1975. "Group Decision Making Using Cardinal Social Welfare Functions," Management Science, INFORMS, vol. 22(4), pages 430-437, December.
    13. Romero, Carlos, 2001. "Extended lexicographic goal programming: a unifying approach," Omega, Elsevier, vol. 29(1), pages 63-71, February.
    14. Romero, Carlos, 1997. "Multicriteria decision analysis and environmental economics: An approximation," European Journal of Operational Research, Elsevier, vol. 96(1), pages 81-89, January.
    15. Wade D. Cook & Moshe Kress, 1985. "Ordinal Ranking with Intensity of Preference," Management Science, INFORMS, vol. 31(1), pages 26-32, January.
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    Cited by:

    1. André, Francisco J., 2009. "Indirect elicitation of non-linear multi-attribute utility functions. A dual procedure combined with DEA," Omega, Elsevier, vol. 37(4), pages 883-895, August.
    2. Xia, Meimei & Chen, Jian, 2015. "Multi-criteria group decision making based on bilateral agreements," European Journal of Operational Research, Elsevier, vol. 240(3), pages 756-764.
    3. Manganelli, Benedetto & Tataranna, Sabina & Pontrandolfi, Piergiuseppe, 2020. "A model to support the decision-making in urban regeneration," Land Use Policy, Elsevier, vol. 99(C).
    4. 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.

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