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Non-Hermitian topology in rock-paper-scissors games.

ABSTRACT: Non-Hermitian topology is a recent hot topic in condensed matters. In this paper, we propose a novel platform drawing interdisciplinary attention: rock-paper-scissors (RPS) cycles described by the evolutionary game theory. Specifically, we demonstrate the emergence of an exceptional point and a skin effect by analyzing topological properties of their payoff matrix. Furthermore, we discover striking dynamical properties in an RPS chain: the directive propagation of the population density in the bulk and the enhancement of the population density only around the right edge. Our results open new avenues of the non-Hermitian topology and the evolutionary game theory.

SUBMITTER: Yoshida T

PROVIDER: S-EPMC8755820 | biostudies-literature | 2022 Jan

REPOSITORIES: biostudies-literature

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Non-Hermitian topology in rock-paper-scissors games.

Yoshida Tsuneya T Mizoguchi Tomonari T Hatsugai Yasuhiro Y

Scientific reports 20220112 1

Non-Hermitian topology is a recent hot topic in condensed matters. In this paper, we propose a novel platform drawing interdisciplinary attention: rock-paper-scissors (RPS) cycles described by the evolutionary game theory. Specifically, we demonstrate the emergence of an exceptional point and a skin effect by analyzing topological properties of their payoff matrix. Furthermore, we discover striking dynamical properties in an RPS chain: the directive propagation of the population density in the b ...[more]

PMID: 35022436

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