Extended Model on Structural Stability and Robustness to Bounded Rationality | Zendy

Yi Liao | Zendy; Lujiang Miao | Zendy; Lei Wang | Zendy; Fei Xu | Zendy; Chi Zhang | Zendy

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Extended Model on Structural Stability and Robustness to Bounded Rationality

Author(s) -

Yi Liao,

Lujiang Miao,

Lei Wang,

Fei Xu,

Chi Zhang

Publication year - 2021

Publication title -

complexity

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.447

H-Index - 61

eISSN - 1099-0526

pISSN - 1076-2787

DOI - 10.1155/2021/4902786

Subject(s) - robustness (evolution) , bounded function , stress (linguistics) , mathematics , computer science , artificial intelligence , discrete mathematics , speech recognition , mathematical analysis , biochemistry , gene , chemistry

In this article, we focus on an extended model M ¯ of bounded rationality. Based on a rationality function with lower semicontinuity, we analyze the relationship between structural stability and robustness of Ω ¯ . To further demonstrate the applicability of our theory, we introduce a model Ω ¯ 0 containing an abstract rationality function and generalize abstract fuzzy economies. We demonstrate the structural stability of the extended model Ω ¯ 0 at ξ ¯ , ɛ . That is to say, Ω ¯ 0 is robust to the ξ ¯ , ɛ -equilibria.

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