Sentence examples for strictly efficient from inspiring English sources

We show that if a social choice function is strictly efficient in the set of social choice functions that satisfy an undetectability condition, then it is approximately implementable.

Suppose that is a subset of and denotes the family of all bases of. is said to be a strictly efficient point with respect to, written as, if there is a convex neighborhood of such that (2.9). is said to be a strictly efficient point with respect to, written as, if (2.10).

The authors of [5] introduced the notion of ϵ-strictly efficient solution for vector optimization with set-valued maps.

Under the assumption of the ic-cone-convexlikeness for set-valued maps, the scalarization theorem, ϵ-Lagrangian multiplier theorem, ϵ-saddle point theorems and ϵ-duality assertions were established for ϵ-strictly efficient solution.

(a) If x 0 is strictly Pareto efficient for problem ( P ( U ) y ∗ biobj ) for some y ∗ ∈ C ∗ ∖ { 0 }, then x 0 is ⪯ C s -robust.

Furthermore, a point x 0 ∈ X is called strictly Pareto efficient for ( P ( U ) y ∗ biobj ), if h ( X ∖ { x 0 } ) ∩ ( h ( x 0 ) − R ≧ 2 ) = ∅.

If x ¯ is a strictly Pareto efficient solution of ( P ( U ) y ∗ biobj ), then x ¯ is ⪯ C s -robust for ( P ( U ) ), thus Opt C : = Opt C ∪ { x ¯ }.

(a) If x ¯ is a strictly Pareto efficient solution of ( P ( U ) y ∗ biobj ), then x ¯ is ⪯ C s -robust for ( P ( U ) ), thus Opt C : = Opt C ∪ { x ¯ }.

The Vice-President, Obama said, would be reviewing federal job-training programs to make them more efficient — strictly an executive-branch thing.

Taken together, this is the first demonstration for the morbilliviruses that the hemagglutinin (H) protein is strictly required for efficient viral spread in glial cells.

We recognise that strictly the most efficient way to measure the recruitment rate in each centre would be to recruit until a fixed number of participants, say ten, had been enrolled.