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On the topology of the set of Nash equilibria

Dieter Balkenborg and Dries Vermeulen

Games and Economic Behavior, 2019, vol. 118, issue C, 1-6

Abstract: It has been an open conjecture in the theory of non-cooperative games that Nash equilibrium is universal for the collection of (non-empty) compact semi-algebraic sets, meaning that for every such set there is a game whose set of Nash equilibria is homeomorphic to the given set. In this paper we prove this conjecture.

Keywords: Strategic form games; Nash equilibrium; Topology (search for similar items in EconPapers)
JEL-codes: C72 D44 (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1016/j.geb.2019.08.008

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