Some further results on the stability of Ky Fan’s points

In this paper, some further results on the stability of Ky Fan’s points are proposed by introducing a type of stronger perturbation of section mappings defined by a semi-metric called the maximum Hausdorff semi-metric, and the existence of the essential components of the set of Ky Fan’s points to th...

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Detalles Bibliográficos
Autores principales: Xiang, Shuwen, He, Jihao, Liu, Chengwei, Jia, Wensheng, Yang, Yanlong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5698473/
https://www.ncbi.nlm.nih.gov/pubmed/29213196
http://dx.doi.org/10.1186/s13660-017-1562-1
Descripción
Sumario:In this paper, some further results on the stability of Ky Fan’s points are proposed by introducing a type of stronger perturbation of section mappings defined by a semi-metric called the maximum Hausdorff semi-metric, and the existence of the essential components of the set of Ky Fan’s points to this perturbation is proved. As an application, the existence of the essential component of the Nash equilibrium is presented using the proposed method, and strong robustness to payoff function perturbation is achieved.

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