Polytope-form games and index/degree theories for extensive-form games

• 成果类型: Article
• 署名作者: Pahl, Lucas
• 署名单位: University of Bonn
• 刊物名称: GAMES AND ECONOMIC BEHAVIOR
• ISSN/ISSBN: 0899-8256
• DOI: 10.1016/j.geb.2023.07.001
• 发表日期: 2023
• 页码: 444-471
• 关键词: Game theory; index theory; Structure of equilibria; algebraic topology; Refinements of Nash equilibria

摘要

We develop index and degree theories for extensive form games allowing the identification of equilibria that are robust to payoff perturbations directly from the extensive form. Our approach is based on index and degree theories for games where the strategy sets are polytopes (and not necessarily simplices) and payoff functions are multiaffine. Polytope strategy sets arise naturally from topologically identifying equivalent mixed strategies of a normal form game.& COPY; 2023 Elsevier Inc. All rights reserved.