Nash Equilibria of Rock Paper Scissors Variants

Published 16 Oct 2024 in math.CO | (2410.13560v1)

Abstract: 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 $n \leq 7$.

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Adrian Thananopavarn

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