The topology of poker
成果类型：
Article
署名作者：
Bartholdi, Laurent; Mikhailov, Roman
署名单位：
Centre National de la Recherche Scientifique (CNRS); Institut National des Sciences Appliquees de Lyon - INSA Lyon; Universite Jean Monnet; Universite Lyon 1; Ecole Centrale de Lyon; University of Geneva; Saarland University; Saint Petersburg State University
刊物名称：
GAMES AND ECONOMIC BEHAVIOR
ISSN/ISSBN：
0899-8256
DOI：
10.1016/j.geb.2025.09.013
发表日期：
2026
关键词：
摘要：
We introduce a topological invariant of games, based on homotopy theory, that measures their complexity. We examine it in the context of the Texas Hold'em variant of poker, and show that the invariant's value is at least 4. We deduce that evaluating the strength of a pair of cards in Texas Hold'em is an intricate problem, and that even the notion of who is bluffing against whom is ill-defined in some situations. The use of higher topological methods to study intransitivity of multi-player games seems new.