Non-Hermitian topology in rock–paper–scissors games

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...

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Autores principales: Yoshida, Tsuneya, Mizoguchi, Tomonari, Hatsugai, Yasuhiro
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8755820/
https://www.ncbi.nlm.nih.gov/pubmed/35022436
http://dx.doi.org/10.1038/s41598-021-04178-8
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author Yoshida, Tsuneya
Mizoguchi, Tomonari
Hatsugai, Yasuhiro
author_facet Yoshida, Tsuneya
Mizoguchi, Tomonari
Hatsugai, Yasuhiro
author_sort Yoshida, Tsuneya
collection PubMed
description 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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spelling pubmed-87558202022-01-14 Non-Hermitian topology in rock–paper–scissors games Yoshida, Tsuneya Mizoguchi, Tomonari Hatsugai, Yasuhiro Sci Rep Article 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. Nature Publishing Group UK 2022-01-12 /pmc/articles/PMC8755820/ /pubmed/35022436 http://dx.doi.org/10.1038/s41598-021-04178-8 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Yoshida, Tsuneya
Mizoguchi, Tomonari
Hatsugai, Yasuhiro
Non-Hermitian topology in rock–paper–scissors games
title Non-Hermitian topology in rock–paper–scissors games
title_full Non-Hermitian topology in rock–paper–scissors games
title_fullStr Non-Hermitian topology in rock–paper–scissors games
title_full_unstemmed Non-Hermitian topology in rock–paper–scissors games
title_short Non-Hermitian topology in rock–paper–scissors games
title_sort non-hermitian topology in rock–paper–scissors games
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8755820/
https://www.ncbi.nlm.nih.gov/pubmed/35022436
http://dx.doi.org/10.1038/s41598-021-04178-8
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