Strategy selection in structured populations

doi:10.1016/j.jtbi.2009.03.035

CORC > 北京大学 > 工学院

	Strategy selection in structured populations
	Tarnita, Corina E. ; Ohtsuki, Hisashi ; Antal, Tibor ; Fu, Feng ; Nowak, Martin A.
刊名	理论生物学杂志
	2009
关键词	Evolutionary dynamics Finite populations Stochastic effects EVOLUTIONARY GAME DYNAMICS SCORE-DEPENDENT FERTILITY PRISONERS-DILEMMA GAME FINITE POPULATIONS STABLE STRATEGIES INCLUSIVE FITNESS SPATIAL STRUCTURE KIN SELECTION COOPERATION GRAPHS
DOI	10.1016/j.jtbi.2009.03.035
英文摘要	Evolutionary game theory studies frequency dependent selection. The fitness of a strategy is not constant, but depends on the relative frequencies of strategies in the population. This type of evolutionary dynamics occurs in many settings of ecology, infectious disease dynamics, animal behavior and social interactions of humans. Traditionally evolutionary game dynamics are studied in well-mixed populations, where the interaction between any two individuals is equally likely. There have also been several approaches to study evolutionary games in structured populations. In this paper we present a simple result that holds for a large variety of population structures. We consider the game between two strategies, A and B, described by the payoff matrix [GRAPHICS] . We study a mutation and selection process. For weak selection strategy A is favored over B if and only if sigma a + b > c + sigma d. This means the effect of population structure on strategy selection can be described by a single parameter, sigma. We present the values of sigma for various examples including the well-mixed population, games on graphs, games in phenotype space and games on sets. We give a proof for the existence of such a sigma which holds for all population structures and update rules that have certain (natural) properties. We assume weak selection, but allow any mutation rate. We discuss the relationship between s and the critical benefit to cost ratio for the evolution of cooperation. The single parameter, sigma allows us to quantify the ability of a population structure to promote the evolution of cooperation or to choose efficient equilibria in coordination games. (C) 2009 Elsevier Ltd. All rights reserved.; Biology; Mathematical & Computational Biology; SCI(E); 50; ARTICLE; 3; 570-581; 259
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/245953]
专题	工学院
推荐引用方式 GB/T 7714	Tarnita, Corina E.,Ohtsuki, Hisashi,Antal, Tibor,et al. Strategy selection in structured populations[J]. 理论生物学杂志,2009.
APA	Tarnita, Corina E.,Ohtsuki, Hisashi,Antal, Tibor,Fu, Feng,&Nowak, Martin A..(2009).Strategy selection in structured populations.理论生物学杂志.
MLA	Tarnita, Corina E.,et al."Strategy selection in structured populations".理论生物学杂志 (2009).