 Further results on structural stability and robustness to bounded rationalityJian Yu, Zhe Yang and Neng-Fa Wang Journal of Mathematical Economics, 2016, vol. 67, issue C, 49-53 Abstract: In this paper, we study the model of bounded rationality that has been studied in Anderlini and Canning (2001), Yu and Yu (2006), Yu et al. (2009) and Miyazaki and Azuma (2013). First, using a lower pseudocontinuous rationality function, we prove that the model is structurally stable and robust to ϵ-equilibria for almost all parameter values, and the structural stability implies robustness to bounded rationality. Second, by relaxing the assumption of compactness, if the feasible correspondence is compact-valued and continuous, and the rationality function is continuous, we show that the robustness to ϵ-equilibria implies structural stability. Third, using a lower semicontinuous rationality function, we prove that (λ,ϵ)-stability implies (λ,ϵ)-robustness. Finally, if the feasible correspondence is compact-valued and continuous, and the rationality function is continuous, we obtain that (λ,ϵ)-robustness implies (λ,ϵ)-stability. Keywords: Bounded rationality; Structural stability; Robustness; (λ,ϵ)-stable; (λ,ϵ)-robust; Pseudocontinuous function (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:67:y:2016:i:c:p:49-53 DOI: 10.1016/j.jmateco.2016.09.009 Access Statistics for this article Journal of Mathematical Economics is currently edited by Atsushi (A.) Kajii More articles in Journal of Mathematical Economics from Elsevier |
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