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Zhang, Y. (2018) Set-Valued Minimax Theorem and Set-Valued Game Problems. Science Press, Beijing.

has been cited by the following article:

• TITLE: Stability of Generalized Minimax Regret Equilibria with Scalar Set Payoff

  AUTHORS: Qiaoling Zhao

  KEYWORDS: Minimax Regret Equilibria, Set Payoff, Generic Stability, Vector Optimization

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.11, November 10, 2022

  ABSTRACT: In this paper, we first introduce the notion and model of generalized minimax regret equilibria with scalar set payoffs. After that, we study its general stability theorem under the conditions that the existence theorem of generalized minimax regret equilibrium point with scalar set payoffs holds. In other words, when the scalar set payoffs functions and feasible constraint mappings are slightly disturbed, by using Fort theorem and continuity results of set-valued mapping optimal value functions, we obtain a general stability theorem for generalized minimax regret equilibria with scalar set payoffs. At the same time, an example is given to illustrate our result.