Predicting genetic drift in 2x2 games

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Abstract

For the analysis of the dynamics of game playing populations, it is common practice to assume infinitely large populations. Infinite models yield predictions of fixed points and their stability properties. However, these models cannot demonstrate the influence of genetic drift, caused by stochastic sampling in small populations. Instead, we propose Markov models of finite populations for the analysis of genetic drift in games. With these exact models, we can study the stability of evolutionary stable strategies, and measure the influence of genetic drift in the long run. We show that genetic drift can introduce significant differences in the expectations of long term behavior.

Original languageEnglish
Title of host publicationGenetic and Evolutionary Computation (Proceedings GECCO 2004, Seattle WA, USA, June 26-30, 2004)
EditorsK. Deb
Place of PublicationBerlin
PublisherSpringer
Pages549-560
Number of pages12
Volume3102
ISBN (Print)3-540-22344-4
Publication statusPublished - 2004

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
PublisherSpringer
ISSN (Print)0302-9743

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