Zhang, Dejin; Xiang, Shuwen; Zhou, Yonghui Bounded rationality and stability of solutions of quasi-variational inequality problems. (Chinese. English summary) Zbl 1289.90238 J. Sichuan Norm. Univ., Nat. Sci. 35, No. 6, 730-733 (2012). 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 Keywords:bounded rationality; quasi-variational inequality problem; stability; robustness PDFBibTeX XMLCite \textit{D. Zhang} et al., J. Sichuan Norm. Univ., Nat. Sci. 35, No. 6, 730--733 (2012; Zbl 1289.90238) Full Text: DOI