TY - JOUR
T1 - Cyclic dominance and biodiversity in well-mixed populations
AU - Claussen, Jens Christian
AU - Traulsen, Arne
N1 - ©2008 American Physical Society
PY - 2008/2/7
Y1 - 2008/2/7
N2 - Coevolutionary dynamics is investigated in chemical catalysis, biological evolution, social and economic systems. The dynamics of these systems can be analyzed within the unifying framework of evolutionary game theory. In this Letter, we show that even in well-mixed finite populations, where the dynamics is inherently stochastic, biodiversity is possible with three cyclic-dominant strategies. We show how the interplay of evolutionary dynamics, discreteness of the population, and the nature of the interactions influences the coexistence of strategies. We calculate a critical population size above which coexistence is likely.
AB - Coevolutionary dynamics is investigated in chemical catalysis, biological evolution, social and economic systems. The dynamics of these systems can be analyzed within the unifying framework of evolutionary game theory. In this Letter, we show that even in well-mixed finite populations, where the dynamics is inherently stochastic, biodiversity is possible with three cyclic-dominant strategies. We show how the interplay of evolutionary dynamics, discreteness of the population, and the nature of the interactions influences the coexistence of strategies. We calculate a critical population size above which coexistence is likely.
UR - http://www.scopus.com/inward/record.url?scp=38949107449&partnerID=8YFLogxK
UR - https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.100.058104
U2 - 10.1103/PhysRevLett.100.058104
DO - 10.1103/PhysRevLett.100.058104
M3 - Article
AN - SCOPUS:38949107449
SN - 0031-9007
VL - 100
JO - Physical Review Letters
JF - Physical Review Letters
IS - 5
M1 - 058104
ER -