ArticleProceedings. Biological sciences2019
Spatial reciprocity in the evolution of cooperation.
Article in Proceedings. Biological sciences, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 20 papers.
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Who cites it
20 citing papers in PubMed.
- Public goods games on any population structure.Science advances · 2026Article
- Indirect reciprocity in the public goods game with collective reputations.Journal of the Royal Society, Interface · 2025Article
- Empirical evidence of resource dependent evolution of payoff matrices in Saccharomyces cerevisiae populations.Journal of evolutionary biology · 2025Article
- Evolutionary dynamics of any multiplayer game on regular graphs.Nature communications · 2024Article
- Imitation dynamics on networks with incomplete information.Nature communications · 2023Article
- The paradox of cooperation among selfish cancer cells.Evolutionary applications · 2023Review
- Evolution of cooperation in multiplex networks through asymmetry between interaction and replacement.Scientific reports · 2023Article
- Super-rational aspiration promotes cooperation in the asymmetric game with peer exit punishment and reward.Heliyon · 2023Article
- Article
- Evolution as a result of resource flow in ecosystems: Ecological dynamics can drive evolution.PloS one · 2023Article
- Social Support and Network Formation in a Small-Scale Horticulturalist Population.Scientific data · 2022Article
- Opinion Dynamics with Higher-Order Bounded Confidence.Entropy (Basel, Switzerland) · 2022Article
- Volatile social environments can favour investments in quality over quantity of social relationships.Proceedings. Biological sciences · 2022Article
- Quantal response equilibrium for the Prisoner's Dilemma game in Markov strategies.Scientific reports · 2022Article
- Evolution of cooperation with joint liability.Journal of the Royal Society, Interface · 2022Article
- Evolution of prosocial behaviours in multilayer populations.Nature human behaviour · 2022Article
- Dynamics on higher-order networks: a review.Journal of the Royal Society, Interface · 2022Review
- Evolution of cooperation with asymmetric social interactions.Proceedings of the National Academy of Sciences of the United States of America · 2022Article
- Social goods dilemmas in heterogeneous societies.Nature human behaviour · 2020Article
- Evolutionary dynamics with game transitions.Proceedings of the National Academy of Sciences of the United States of America · 2019Article
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Authors and funding
4 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Cooperation is key to the survival of all biological systems. The spatial structure of a system constrains who interacts with whom (interaction partner) and who acquires new traits from whom (role model). Understanding when and to what degree a spatial structure affects the evolution of cooperation is an important and challenging topic. Here, we provide an analytical formula to predict when natural selection favours cooperation where the effects of a spatial structure are described by a single parameter. We find that a spatial structure promotes cooperation (spatial reciprocity) when interaction partners overlap role models. When they do not, spatial structure inhibits cooperation even without cooperation dilemmas. Furthermore, a spatial structure in which individuals interact with their role models more often shows stronger reciprocity. Thus, imitating individuals with frequent interactions facilitates cooperation. Our findings are applicable to both pairwise and group interactions and show that strong social ties might hinder, while asymmetric spatial structures for interaction and trait dispersal could promote cooperation.
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