Yu, Chao; Yu, Jian Bounded rationality in multiobjective games. (English) Zbl 1190.91033 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 3, 930-937 (2007). Summary: We establish the connections between bounded rationality and multiobjective games. We obtain some new results for robustness to \(\varepsilon\)-equilibria and structural stability of multiobjective games and generalized multiobjective games. Cited in 11 Documents MSC: 91A26 Rationality and learning in game theory 91A10 Noncooperative games 54E52 Baire category, Baire spaces Keywords:bounded rationality; multiobjective games; weakly Pareto-Nash equilibrium point; Baire category PDFBibTeX XMLCite \textit{C. Yu} and \textit{J. Yu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 3, 930--937 (2007; Zbl 1190.91033) Full Text: DOI References: [1] Aliprantis, C. D.; Border, K. C., Infinite Dimensional Analysis (1999), Springer-Verlag: Springer-Verlag Berlin · Zbl 0938.46001 [2] Anderlini, L.; Canning, D., Structural stability implies robustness to bounded rationality, J. Econom. Theory, 101, 395-422 (2001) · Zbl 0996.91078 [3] Aubin, J. P.; Ekeland, I., Applied Nonlinear Analysis (1984), Johe Wiley and Sons Inc.: Johe Wiley and Sons Inc. New York [4] Klein, E.; Thompson, A., Theory of Correspondences (1984), Wiley: Wiley New York [5] Tan, K. K.; Yu, J.; Yuan, X. Z., The stability of coincident points for multivalued mappings, Nonlinear Anal. TMA, 25, 163-168 (1995) · Zbl 0856.54045 [6] Yang, H.; Yu, J., Essential components of the set of weakly Pareto-Nash equilibrium points, Appl. Math. Lett., 15, 553-560 (2002) · Zbl 1016.91008 [7] Yang, H.; Yu, J., Essential solutions and essential components of solution set of vector quasi-equilibrium problems, J. Systems Sci. Math. Sci., 24, 74-84 (2004) · Zbl 1134.91502 [8] Yu, C.; Yu, J., On structural stability and robustness to bounded rationality, Nonlinear Anal. TMA, 65, 583-592 (2006) · Zbl 1186.91053 [9] Yu, J., Essential equilibria of n-person noncooperative games, J. Math. Econom., 31, 361-372 (1999) · Zbl 0941.91006 [10] Yuan, G. X.Z., KKM Theory and Applicaitons in Nonlinear Analysis (1999), Marcel Dekker Inc.: Marcel Dekker Inc. New York This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.