ArticleTheory in biosciences = Theorie in den Biowissenschaften2019
Fixation properties of multiple cooperator configurations on regular graphs.
Article in Theory in biosciences = Theorie in den Biowissenschaften, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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3 citing papers in PubMed.
- Spectral dynamics of guided edge removals and identifying transient amplifiers for death-Birth updating.Journal of mathematical biology · 2023Article
- Martingales and the fixation time of evolutionary graphs with arbitrary dimensionality.Royal Society open science · 2022Article
- Spectral analysis of transient amplifiers for death-birth updating constructed from regular graphs.Journal of mathematical biology · 2021Article
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Abstract
Whether or not cooperation is favored in evolutionary games on graphs depends on the population structure and spatial properties of the interaction network. The population structure can be expressed as configurations. Such configurations extend scenarios with a single cooperator among defectors to any number of cooperators and any arrangement of cooperators and defectors on the network. For interaction networks modeled as regular graphs and for weak selection, the emergence of cooperation can be assessed by structure coefficients, which can be specified for each configuration and each regular graph. Thus, as a single cooperator can be interpreted as a lone mutant, the configuration-based structure coefficients also describe fixation properties of multiple mutants. We analyze the structure coefficients and particularly show that under certain conditions, the coefficients strongly correlate to the average shortest path length between cooperators on the evolutionary graph. Thus, for multiple cooperators fixation properties on regular evolutionary graphs can be linked to cooperator path lengths.
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