Stability and Robustness: Reliability in the World of Uncertainty

EquilibriaProblemFormulationStability andAccuracyFunctionsWe introduce the notion of equilibrium for the m-players-coalition game with matrix C and coalition profileJ = (J 1 , J 2 , ..., J s ). A solution x ∗ ∈ X is called J-equilibrium if∀ r ∈ N s Λ r (C, J r , x ∗ ) = ∅,where{Λ r (C, J r , x ∗ ) := x ∈ W Jr (x ∗ ) :() ()}∀j ∈ J r p j (C, x) ≤ p j (C, x ∗ ) & ∃j ′ ∈ J r p j ′(C, x) < p j ′(C, x ∗ ) .Sensitivity Analysis in Game Theory Yury Nikulin - p. 7/29