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DOI: 10.23952/jnfa.2026.22
Received April 14, 2025; Accepted July 17, 2026; Published August 11, 2026
Abstract. In this paper, we mainly discuss the strong minimax regret equilibrium with vector-valued payoffs (SMREVP for short). Firstly, we introduce the concept of SMREVP and establish its existence. Next, we obtain sufficient conditions for the approximate strong minimax regret equilibrium with vector-valued payoffs (ASMREVP for short) by applying a fixed-point principle. Finally, we investigate the essential stability of ASMREVP and provide several examples to illustrate these results.
How to Cite this Article:
T. Chen, L. Wei, Y. Zhang, Existence and stability of strong minimax regret equilibria with vector-valued payoffs, J. Nonlinear Funct. Anal. 2026 (2026) 22.