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<p>In this paper, due to the introduction of a new concept called weak partial lower semicontinuous, we obtain the existence and stability of Nash equilibria for a class of differential games without using the assumptions of the lower semicontinuous set-valued functions and compact strategy spaces, which generalizes and improves the relevant results of the existing literature. Moreover, some examples are given to illustrate the applicability of our results.</p>

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Existence and ordering stability of Nash equilibria for a class of differential games

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月20日

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  • Dongyun Pan,
  • Yingzi Peng,
  • Shihuang Hong

摘要

In this paper, due to the introduction of a new concept called weak partial lower semicontinuous, we obtain the existence and stability of Nash equilibria for a class of differential games without using the assumptions of the lower semicontinuous set-valued functions and compact strategy spaces, which generalizes and improves the relevant results of the existing literature. Moreover, some examples are given to illustrate the applicability of our results.