Coevolutionary dynamics: From finite to infinite populations

Arne Traulsen*, Jens Christian Claussen, Christoph Hauert

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Traditionally, frequency dependent evolutionary dynamics is described by deterministic replicator dynamics assuming implicitly infinite population sizes. Only recently have stochastic processes been introduced to study evolutionary dynamics in finite populations. However, the relationship between deterministic and stochastic approaches remained unclear. Here we solve this problem by explicitly considering large populations. In particular, we identify different microscopic stochastic processes that lead to the standard or the adjusted replicator dynamics. Moreover, differences on the individual level can lead to qualitatively different dynamics in asymmetric conflicts and, depending on the population size, can even invert the direction of the evolutionary process.

Original languageEnglish
Article number238701
JournalPhysical Review Letters
Issue number23
Publication statusPublished - 2 Dec 2005

Bibliographical note

©2005 American Physical Society


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