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Multiple Objective Mathematical Programming with Respect to Multiple Decision-Makers

Author

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  • Richard E. Wendell

    (University of Pittsburgh, Pittsburgh, Pennsylvania)

Abstract

We consider the important problem of obtaining a “majority consensus” among a number of individuals on the solution to a multiple objective optimization problem. When the number of objectives is greater than two, we observe that such a consensus exists-only under strong symmetry conditions. However, in the bi-objective situation, a “consensus” exists in the convex case and we show how to find it via direct and interactive approaches. In the nonconvex bi-objective situation, a “local consensus” always exists under rather weak regularity conditions.

Suggested Citation

  • Richard E. Wendell, 1980. "Multiple Objective Mathematical Programming with Respect to Multiple Decision-Makers," Operations Research, INFORMS, vol. 28(5), pages 1100-1111, October.
    • Handle: RePEc:inm:oropre:v:28:y:1980:i:5:p:1100-1111
    DOI: 10.1287/opre.28.5.1100
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    Cited by:

    1. Fernandez, Eduardo & Olmedo, Rafael, 2013. "An outranking-based general approach to solving group multi-objective optimization problems," European Journal of Operational Research, Elsevier, vol. 225(3), pages 497-506.
    2. Luc Anselin, 1983. "A Simulation Framework For Modeling Dynamics In Policy Space," Conflict Management and Peace Science, Peace Science Society (International), vol. 7(1), pages 25-38, February.
    3. Wan S. Shin & Jung J. Lee, 1992. "A multi‐run interactive method for bicriterion optimization problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(1), pages 115-135, February.

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