Structural stability and robustness to bounded rationality for non-compact cases |
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Authors: | Jian Yu Hui Yang Chao Yu |
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Institution: | (1) Department of Mathematics, Guizhou University, Guiyang, Guizhou, 550025, People’s Republic of China |
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Abstract: | We study the model M consisting of “general games” with noncompact action space, together with an associated abstract rationality function. We
prove that M is structurally stable and robust to ϵ-equilibria for “almost all” parameters. As applications, we investigate structural
stability and robustness to bounded rationality for noncooperative games, multiobjective optimizations and fixed point problems
satisfying existence and some continuity conditions. Specifically, we introduce concrete rationality functions for such three
kinds of problems with both payoffs and strategy sets, objective functions and domain spaces, and correspondence and domain
spaces as parameters, respectively, and show the generic structural stability and robustness to bounded rationality for the
corresponding model Ms. |
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Keywords: | Structural stability Robustness Bounded rationality Nash equilibrium Multiobjective optimization Fixed point |
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