Extended Model on Structural Stability and Robustness to Bounded Rationality

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 contain...

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Main Authors: Yi Liao, Lujiang Miao, Lei Wang, Fei Xu, Chi Zhang
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2021/4902786
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author Yi Liao
Lujiang Miao
Lei Wang
Fei Xu
Chi Zhang
author_facet Yi Liao
Lujiang Miao
Lei Wang
Fei Xu
Chi Zhang
author_sort Yi Liao
collection DOAJ
description 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.
format Article
id doaj-art-c32ee8d11f7948649721461e96b589e8
institution Kabale University
issn 1076-2787
1099-0526
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-c32ee8d11f7948649721461e96b589e82025-02-03T01:04:13ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/49027864902786Extended Model on Structural Stability and Robustness to Bounded RationalityYi Liao0Lujiang Miao1Lei Wang2Fei Xu3Chi Zhang4School of Business Administration, Faculty of Business Administration, Southwestern University of Finance and Economics, Chengdu, Sichuan 610074, ChinaSchool of Business Administration, Faculty of Business Administration, Southwestern University of Finance and Economics, Chengdu, Sichuan 610074, ChinaSchool of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu, Sichuan 610074, ChinaDepartment of Mathematics, Wilfrid Laurier University, Waterloo, Ontario N2L 3C5, CanadaGraduate School, Shanghai Customs College, Shanghai 201201, ChinaIn 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.http://dx.doi.org/10.1155/2021/4902786
spellingShingle Yi Liao
Lujiang Miao
Lei Wang
Fei Xu
Chi Zhang
Extended Model on Structural Stability and Robustness to Bounded Rationality
Complexity
title Extended Model on Structural Stability and Robustness to Bounded Rationality
title_full Extended Model on Structural Stability and Robustness to Bounded Rationality
title_fullStr Extended Model on Structural Stability and Robustness to Bounded Rationality
title_full_unstemmed Extended Model on Structural Stability and Robustness to Bounded Rationality
title_short Extended Model on Structural Stability and Robustness to Bounded Rationality
title_sort extended model on structural stability and robustness to bounded rationality
url http://dx.doi.org/10.1155/2021/4902786
work_keys_str_mv AT yiliao extendedmodelonstructuralstabilityandrobustnesstoboundedrationality
AT lujiangmiao extendedmodelonstructuralstabilityandrobustnesstoboundedrationality
AT leiwang extendedmodelonstructuralstabilityandrobustnesstoboundedrationality
AT feixu extendedmodelonstructuralstabilityandrobustnesstoboundedrationality
AT chizhang extendedmodelonstructuralstabilityandrobustnesstoboundedrationality