The paper gives coderivative-based characterizations of the Aubin property and isolated calmness for LGNE solution mappings in conically constrained GNEPs, with explicit nonsingularity conditions for equality/inequality and shared-constraint cases.
Nash, Non-cooperative games, Annals of Mathematics, 54(1951),286–295
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Stability of Lagrangian Generalized Nash Equilibriums
The paper gives coderivative-based characterizations of the Aubin property and isolated calmness for LGNE solution mappings in conically constrained GNEPs, with explicit nonsingularity conditions for equality/inequality and shared-constraint cases.