On the topology of the set of Nash equilibria

• 成果类型: Article
• 署名作者: Balkenborg, Dieter; Vermeulen, Dries
• 署名单位: University of Exeter; Maastricht University
• 刊物名称: GAMES AND ECONOMIC BEHAVIOR
• ISSN/ISSBN: 0899-8256
• DOI: 10.1016/j.geb.2019.08.008
• 发表日期: 2019
• 页码: 1-6
• 关键词: Strategic form games; Nash equilibrium; TOPOLOGY

摘要

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. (C) 2019 Elsevier Inc. All rights reserved.