Coevolutionary dynamics:From finite to infinite populations

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.

Publication DOI: https://doi.org/10.1103/PhysRevLett.95.238701
Divisions: College of Engineering & Physical Sciences > School of Informatics and Digital Engineering > Mathematics
College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
College of Engineering & Physical Sciences
Additional Information: ©2005 American Physical Society
Uncontrolled Keywords: Physics and Astronomy(all)
Publication ISSN: 1079-7114
Full Text Link:
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
https://journal ... vLett.95.238701 (Publisher URL)
PURE Output Type: Article
Published Date: 2005-12-02
Authors: Traulsen, Arne
Claussen, Jens Christian (ORCID Profile 0000-0002-9870-4924)
Hauert, Christoph

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