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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.
Scientific Reports
|January 13, 2022
Summary
This study introduces rock-paper-scissors (RPS) cycles as a novel platform for non-Hermitian topology. Researchers found unique topological properties and dynamical behaviors, opening new research avenues.
Area of Science:
- Condensed matter physics
- Evolutionary game theory
Background:
- Non-Hermitian topology is a rapidly developing field in condensed matter.
- Evolutionary game theory, specifically rock-paper-scissors (RPS) cycles, offers a unique framework for exploring complex dynamics.
Purpose of the Study:
- To investigate the potential of RPS cycles as a novel platform for studying non-Hermitian topology.
- To analyze the topological properties and emergent phenomena within RPS systems.
Main Methods:
- Analyzing the topological properties of the payoff matrix in RPS cycles.
- Investigating the dynamical behavior of an RPS chain model.
Main Results:
- Demonstrated the emergence of an exceptional point and a skin effect in the RPS payoff matrix.
- Observed directive propagation of population density in the bulk and edge-localized enhancement in an RPS chain.
Conclusions:
- RPS cycles provide a novel and interdisciplinary platform for non-Hermitian topology research.
- The study reveals unique topological and dynamical properties with implications for both fields.
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