Some further results on the stability of Ky Fan’s points
Shuwen Xiang, Jihao He, Chengwei Liu and 2 more
Journal of Inequalities and Applications · 2017
doi:10.1186/s13660-017-1562-1 (opens in a new tab)
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Abstract
Abstract 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.
Abstract licence: CC BY-NC-ND
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