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\(\alpha\)-well-posedness for Nash equilibria and for optimization problems with Nash equilibrium constraints. (English) Zbl 1105.49029
Summary: We present the concepts of \(\alpha\)-well-posedness for parametric noncooperative games and for optimization problems with constraints defined by parametric Nash equilibria. We investigate some classes of functions that ensure these types of well-posedness and the connections with \(\alpha\)-well-posedness for variational inequalities and optimization problems with variational inequality constraints.

49K40 Sensitivity, stability, well-posedness
49J40 Variational inequalities
91A99 Game theory
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