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Coevolutionary Dynamics: From Finite to Infinite Populations
Open accessAbstract
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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Citations
Cites
The genetical theory of natural selection
Fisher, R. A. (1930) · doi:10.5962/bhl.title.27468 · Cited by 17,617
Evolutionary Games and Population Dynamics
Hofbauer, J., & Sigmund, K. (1998) · doi:10.1017/cbo9781139173179 · Cited by 5,502
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Metadata
- Authors
- Traulsen, A., Claussen, J. C., & Hauert, C.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2005-12-02
- Volume
- 95
- Issue
- 23
- Pages
- 238701-238701
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2026796238
- Cited by
- 508
- References
- 2
- FWCI
- 58.10
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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