ArticleProceedings of the National Academy of Sciences of the United States of America2022
Sharp thresholds limit the benefit of defector avoidance in cooperation on networks.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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4 citing papers in PubMed, 0 citations in OpenAlex.
- Pattern Formation in a Spatial Public Goods Dilemma due to Diffusive or Directed Motion.Bulletin of mathematical biology · 2026Article
- Pattern Formation in Agent-Based and PDE Models for Evolutionary Games with Payoff-Driven Motion.Bulletin of mathematical biology · 2026Article
- Interspecific dispersal constraints suppress pattern formation in metacommunities.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2024Article
- Evolutionary Game Dynamics with Environmental Feedback in a Network with Two Communities.Bulletin of mathematical biology · 2024Article
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Authors and funding
6 authors at 4 institutions in 4 countries.
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Abstract
Consider a cooperation game on a spatial network of habitat patches, where players can relocate between patches if they judge the local conditions to be unfavorable. In time, the relocation events may lead to a homogeneous state where all patches harbor the same relative densities of cooperators and defectors, or they may lead to self-organized patterns, where some patches become safe havens that maintain an elevated cooperator density. Here we analyze the transition between these states mathematically. We show that safe havens form once a certain threshold in connectivity is crossed. This threshold can be analytically linked to the structure of the patch network and specifically to certain network motifs. Surprisingly, a forgiving defector avoidance strategy may be most favorable for cooperators. Our results demonstrate that the analysis of cooperation games in ecological metacommunity models is mathematically tractable and has the potential to link topics such as macroecological patterns, behavioral evolution, and network topology.
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