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A characterization of the existence of a pure-strategy Nash equilibrium

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概要 In this paper, we consider a non-cooperative n-person game in the strategic form. As is well known, the game has a mixed-strategy Nash equilibrium. While, it does not always have a pure-strategy Nash ...equilibrium. Wherein, Iimura (2003), and Sato and Kawasaki (to appear in Taiwanese J Math) provided a sufficient condition for the game to have a pure-strategy Nash equilibrium. This paper has two aims. The first is to extend the authors’ sufficient condition. The second is to give a necessary condition for the existence of a pure-strategy Nash equilibrium in the case of two persons. In both sections, monotonicity of the best response correspondences plays the central role.続きを見る

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登録日 2009.04.22
更新日 2017.09.05