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 a...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2022-01-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-021-04178-8 |
| _version_ | 1818753192328953856 |
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| author | Tsuneya Yoshida Tomonari Mizoguchi Yasuhiro Hatsugai |
| author_facet | Tsuneya Yoshida Tomonari Mizoguchi Yasuhiro Hatsugai |
| author_sort | Tsuneya Yoshida |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-18T05:03:27Z |
| format | Article |
| id | doaj.art-9b9a6297845e4e0e8bbcb663563f3f65 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-12-18T05:03:27Z |
| publishDate | 2022-01-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-9b9a6297845e4e0e8bbcb663563f3f652022-12-21T21:20:05ZengNature PortfolioScientific Reports2045-23222022-01-011211710.1038/s41598-021-04178-8Non-Hermitian topology in rock–paper–scissors gamesTsuneya Yoshida0Tomonari Mizoguchi1Yasuhiro Hatsugai2Department of Physics, University of TsukubaDepartment of Physics, University of TsukubaDepartment of Physics, University of TsukubaAbstract 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.https://doi.org/10.1038/s41598-021-04178-8 |
| spellingShingle | Tsuneya Yoshida Tomonari Mizoguchi Yasuhiro Hatsugai Non-Hermitian topology in rock–paper–scissors games Scientific Reports |
| 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 |
| url | https://doi.org/10.1038/s41598-021-04178-8 |
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