Wei Tian, Wensheng Jia, Tykhonov well-posedness in discontinuous non-cooperative games, Vol. 2024 (2024), Article ID 8, pp. 1-8

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DOI: 10.23952/jnfa.2024.8

Received November 12, 2023; Accepted March 12, 2024; Published April 13, 2024

 

Abstract. In this paper, we consider the Tykhonov well-posedness of discontinuous n-person non-cooperative games. By giving a new sufficient condition, we prove that several classes of discontinuous n-person non-cooperative games have the Tykhonov well-posedness property, which means that, for any approximate solution sequence of these games, we can find a convergent subsequence whose limit point is a Nash equilibrim point. The results of this paper improve the corresponding results in the existing literature.

 

How to Cite this Article:
W. Tian, W. ia, Tykhonov well-posedness in discontinuous non-cooperative games, J. Nonlinear Funct. Anal. 2024 (2024) 8.