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• W2103207495 abstract "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(abcd). 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 sigma 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." @default.
• W2103207495 created "2016-06-24" @default.
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• W2103207495 creator A5077886235 @default.
• W2103207495 creator A5081956768 @default.
• W2103207495 date "2009-08-01" @default.
• W2103207495 modified "2023-10-01" @default.
• W2103207495 title "Strategy selection in structured populations" @default.
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• W2103207495 doi "https://doi.org/10.1016/j.jtbi.2009.03.035" @default.
• W2103207495 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/2710410" @default.
• W2103207495 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/19358858" @default.
• W2103207495 hasPublicationYear "2009" @default.

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