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Evolutionary Games in Natural, Social, and Virtual Worlds$
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Daniel Friedman and Barry Sinervo

Print publication date: 2016

Print ISBN-13: 9780199981151

Published to Oxford Scholarship Online: August 2016

DOI: 10.1093/acprof:oso/9780199981151.001.0001

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Population Dynamics

Population Dynamics

Chapter:
(p.3) 1 Population Dynamics
Source:
Evolutionary Games in Natural, Social, and Virtual Worlds
Author(s):

Daniel Friedman

Barry Sinervo

Daniel Friedman

Barry Sinervo

Daniel Friedman

Barry Sinervo

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199981151.003.0001

The chapter introduces the concept of fitness, and focuses on the distribution of traits or behaviors within each population. The traits may be biological and governed by genes, or may instead have a social or a virtual basis that can be described by “memes.” Evolution describes how the distribution changes over time in response to fitness differences, for example, according to the replicator equation in discrete time or continuous time. The chapter also presents the Hardy‐Weinberg model of diploid evolution. A technical appendix points out connections to relative entropy and explores the continuous time limit of discrete replicator dynamics.

Keywords:   fitness, memes, genes, replicator equation, Hardy-Weinberg model, relative entropy

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