Multiple Objective Mathematical Programming with Respect to Multiple Decision-Makers

Richard E. Wendell
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Richard E. Wendell: University of Pittsburgh, Pittsburgh, Pennsylvania

Operations Research, 1980, vol. 28, issue 5, 1100-1111

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.

Date: 1980
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