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Zealotry promotes coexistence in the rock-paper-scissors model of cyclic dominance.

Authors :
Verma, Gunjan
Chan, Kevin
Swami, Ananthram
Source :
Physical Review E: Statistical, Nonlinear & Soft Matter Physics. Nov2015, Vol. 92 Issue 5-B, p052807-1-052807-10. 10p.
Publication Year :
2015

Abstract

Cyclic dominance models, such as the classic rock-paper-scissors (RPS) game, have found real-world applications in biology, ecology, and sociology. A key quantity of interest in such models is the coexistence time, i.e., the time until at least one population type goes extinct. Much recent research has considered conditions that lengthen coexistence times in an RPS model. A general finding is that coexistence is promoted by localized spatial interactions (low mobility), while extinction is fostered by global interactions (high mobility). That is, there exists a mobility threshold which separates a regime of long coexistence from a regime of rapid collapse of coexistence. The key finding of our paper is that if zealots (i.e., nodes able to defeat others while themselves being immune to defeat) of even a single type exist, then system coexistence time can be significantly prolonged, even in the presence of global interactions. This work thus highlights a crucial determinant of system survival time in cyclic dominance models. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
15393755
Volume :
92
Issue :
5-B
Database :
Academic Search Index
Journal :
Physical Review E: Statistical, Nonlinear & Soft Matter Physics
Publication Type :
Academic Journal
Accession number :
111866488
Full Text :
https://doi.org/10.1103/PhysRevE.92.052807