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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Format: | Article |
Language: | English |
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Wiley
2021-01-01
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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 |