Coevolutionary Dynamics: From Finite to Infinite Populations

dc.creatorTraulsen, Arne
dc.creatorClaussen, Jens Christian
dc.creatorHauert, Christoph
dc.date2004-09-24
dc.date2006-02-08
dc.date.accessioned2026-07-07T06:37:17Z
dc.date.available2026-07-07T06:37:17Z
dc.descriptionTraditionally, 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.
dc.description4 pages (2 figs included). Published in Phys. Rev. Lett., December 2005
dc.identifierhttps://arxiv.org/abs/cond-mat/0409655
dc.identifierhttp://arxiv.org/abs/cond-mat/0409655
dc.identifierPhysical Review Letters 95, 238701 (2005)
dc.identifierdoi:10.1103/PhysRevLett.95.238701
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100338
dc.subjectStatistical Mechanics
dc.subjectOther Condensed Matter
dc.titleCoevolutionary Dynamics: From Finite to Infinite Populations
dc.typetext

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