Cyclic dominance and biodiversity in well-mixed populations

Jens Christian Claussen*, Arne Traulsen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Article number058104
JournalPhysical Review Letters
Issue number5
Publication statusPublished - 7 Feb 2008

Bibliographical note

©2008 American Physical Society


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