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Stability and Robustness: Reliability in the World of Uncertainty

Stability and Robustness: Reliability in the World of Uncertainty

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ExampleProblemFormulation<strong>Stability</strong> <strong>and</strong>AccuracyFunctionsExample 1. Let m = 2, s = 1, J = ({1, 2}) <strong>and</strong> C 0 =(1 22 1Assume that B = ({(0, 0) T , (1, 1) T }), i.e. X = {x 1 , x 2 },x 1 = (0, 1) T , x 2 = (1, 0) T . Then P(C 0 , X) = {(2, 1) T , (1, 2) T }.If we consider <strong>the</strong> matrixC =(1 12 1),).<strong>the</strong>n P(C, X) = {(1, 1) T , (1, 2) T }. Evidently, x 2 ∈ PE 2 (C 0 , X)<strong>and</strong> ε(C 0 , J, x 2 ) = 0, but x 2 ∉ PE 2 (C, X) <strong>and</strong> ε(C, J, x 2 ) = 0.Sensitivity Analysis <strong>in</strong> Game Theory Yury Nikul<strong>in</strong> - p. 11/29

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