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Non-Hermitian topology in rock–paper–scissors games.
- Source :
-
Scientific Reports . 10/22/2022, Vol. 12 Issue 1, p1-7. 7p. - Publication Year :
- 2022
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *TOPOLOGY
*SKIN effect
*TOPOLOGICAL property
*CONDENSED matter
*GAME theory
Subjects
Details
- Language :
- English
- ISSN :
- 20452322
- Volume :
- 12
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Scientific Reports
- Publication Type :
- Academic Journal
- Accession number :
- 159897456
- Full Text :
- https://doi.org/10.1038/s41598-021-04178-8