Non-Hermitian topology in rock-paper-scissors games
Physics and Society
2022-01-17 v2 Mesoscale and Nanoscale Physics
Soft Condensed Matter
Statistical Mechanics
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.
Keywords
Cite
@article{arxiv.2109.11127,
title = {Non-Hermitian topology in rock-paper-scissors games},
author = {Tsuneya Yoshida and Tomonari Mizoguchi and Yasuhiro Hatsugai},
journal= {arXiv preprint arXiv:2109.11127},
year = {2022}
}
Comments
6+6 pages, 4+5 figures