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A pure strategy Nash equilibrium for a 3-firm location game on a sphere. (English) Zbl 0930.90055

Summary: 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.

MSC:

90B80 Discrete location and assignment
91A80 Applications of game theory
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