Stability and Robustness: Reliability in the World of Uncertainty

Accuracy Function and RadiusProblemFormulationStability andAccuracyFunctionsTheorem 3. For x ∗ ∈ JE m (C 0 , X) and δ ∈ [0, 1), the accuracyfunction can be expressed by the formula:A(C 0 , J, x ∗ , δ) = maxr∈N smax minx∈W J r (x∗ )Ci 0(x∗ − x) + δ ∑ c 0 ij |x∗ j − x j|j∈N mi∈J r (1 − δ)Ci 0x .Theorem 4. For x ∗ ∈ JE m (C 0 , X) and δ ∈ [0, 1), the accuracy radiuscan be expressed by the formula:R A (C 0 , J, x ∗ , δ) = min{1, minr∈N sminx∈W J r (x∗ )\{x ∗ } maxCi 0(x∗ − x)∑i∈J r c 0 ij |x∗ j − x j|j∈N m}.Sensitivity Analysis in Game Theory Yury Nikulin - p. 25/29