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Bounded rationality and stability of solutions of quasi-variational inequality problems. (Chinese. English summary) Zbl 1289.90238

Summary: A unified framework of stability of solutions to nonlinear problems is first given. Then a rationality function is introduced for a class of quasi-variational inequality problems and the bounded rationality is investigated. It is proved that most of the quasi-variational inequality problems (in the sense of Baire category) are structurally stable and robust to \(\varepsilon\)-equilibria. Finally some stability results on these quasi-variational inequality problems are obtained.

MSC:

90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)
49J53 Set-valued and variational analysis
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