2024/10/16 by Adrian Thananopavarn, Thananopavarn, Adrian
Economics, Econometrics and Finance · Mathematics · #Combinatorics (math.CO) #Complex Systems and Time Series Analysis #Economic theories and models #FOS: Mathematics #Stochastic processes and statistical mechanics
paper · pdf · doi:10.48550/arxiv.2410.13560
openalex publication_date 2024/10/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We generalize Rock Paper Scissors to complete directed graphs, or tournaments, on n vertices. Properties of the mixed-strategy Nash equilibria of these tournaments are discussed, particularly those with Nash equilibria where all of the strategies have a nonzero probability. We find graph-theoretic properties of such games and tabulate them for n ≤ 7.