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On the Openness of Unique Pure-Strategy Nash Equilibrium
B E Journal of Theoretical Economics, 2018AbstractThis paper investigates whether small perturbations to a game with continuous strategy spaces and unique Nash equilibrium also yields a game with unique equilibrium. The answer is affirmative for games with smooth payoffs, differentiable strict concavity in own actions, and transversal intersection of best response curves.
Anna A Klis
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Discriminatory power and pure strategy Nash equilibrium in the lottery Blotto game
Operations Research Letters, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Junjie Zhou
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A pure strategy nash equilibrium for a 3-firm location game on a sphere
Location Science, 1996Summary: There are only two known pure strategy Nash equilibria for multi-firm location games in dimension two. This paper presents an infinite family of pure strategy Nash equilibria for a 3-firm location game on a sphere.
Vicki Knoblauch
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On the existence of a pure strategy Nash equilibrium in group formation games
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Finding the Pure-Strategy Nash Equilibrium Using a Fixed-Point Algorithm
Applied Mechanics and Materials, 2013It is well known that determining whether a finite game has a pure-strategy Nash equilibrium is an NP-hard problem and it is an active research topic to find a Nash equilibrium recently. In this paper, an implementation of Dang's Fixed-Point iterative method is introduced to find a pure-strategy Nash equilibrium of a finite n-person game in normal form.
Chuangyin Dang, Chang An Zhu
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