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  Coevolutionary dynamics: From finite to infinite populations

Traulsen, A., Claussen, J. C., & Hauert, C. (2005). Coevolutionary dynamics: From finite to infinite populations. Physical Review Letters, 95(23). doi:10.1103/PhysRevLett.95.238701.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0010-100F-6 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0010-1010-D
Genre: Journal Article

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Traulsen, A.1, Author              
Claussen, J. C.2, Author
Hauert, C.2, Author
Affiliations:
1External, ou_persistent22              
2external, ou_persistent22              

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 Abstract: 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.

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 Dates: 20052005
 Publication Status: Published in print
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Title: Physical Review Letters
Source Genre: Journal
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Publ. Info: Woodbury, N.Y., etc. : American Physical Society.
Pages: - Volume / Issue: 95 (23) Sequence Number: - Start / End Page: - Identifier: ISSN: 0031-9007
CoNE: https://pure.mpg.de/cone/journals/resource/954925433406_1