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Updated: Oct 6, 2025

The HoneyComb Paradigm for Research on Collective Human Behavior
Published on: January 19, 2019
Non-Hermitian topology in rock-paper-scissors games
Tsuneya Yoshida1, Tomonari Mizoguchi2, Yasuhiro Hatsugai2
1Department of Physics, University of Tsukuba, Tsukuba, Ibaraki, 305-8571, Japan. yoshida@rhodia.ph.tsukuba.ac.jp.
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.
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