2008/01/10 by Jens Christian Claussen, Arne Traulsen · 145 citations
Biochemistry, Genetics and Molecular Biology · Medicine · Physics and Astronomy · Social Sciences · #Biodiversity #Biology #Complex system #Computer science #Demography #Dominance (genetics) #Dynamics (music) #Ecology #Economics #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #Evolutionary biology #Evolutionary dynamics #Evolutionary game theory #Game theory #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematical economics #Physics #Population #Replicator equation #Statistical physics #Stochastic dynamics #physics.soc-ph #q-bio.PE
paper · pdf · doi:10.1103/physrevlett.100.058104
published in Physical Review Letters 100(5), 058104 (American Physical Society) · Physical Review Letters, in print (2008)
arxiv created 2008/01/10 · openalex publication_date 2008/02/07 · arxiv updated 2012/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.