Proper efficiency and the theory of vector maximization.¶
Geoffrion, A. M. (1968). Proper efficiency and the theory of vector maximization. Journal of Mathematical Analysis and Applications, 22(3), 618-630.
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Primes¶
- Multiobjective Optimization
- The distinguishing structural commitment is refusal to collapse objectives prematurely: where weighted-sum methods are used, they must be deployed with explicit awareness of what the weights encode and what the weighted-sum may miss on non-convex frontiers, a limitation Geoffrion (1968) formalized in the theory of proper efficiency.
This sourceEstablishes the theory of proper efficiency and clarifies which Pareto-efficient solutions are recoverable by weighted-sum scalarization, exposing the structural limits of weighted-sum methods on non-convex frontiers.
- The distinguishing structural commitment is refusal to collapse objectives prematurely: where weighted-sum methods are used, they must be deployed with explicit awareness of what the weights encode and what the weighted-sum may miss on non-convex frontiers, a limitation Geoffrion (1968) formalized in the theory of proper efficiency.
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