ArticleJournal of the Royal Society, Interface2019
Evolution of cooperation on large networks with community structure.
Article in Journal of the Royal Society, Interface, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 21 papers.
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Who cites it
21 citing papers in PubMed.
- Temporality modulates the effect of network heterogeneity on cooperation fixation.Nature communications · 2026Article
- Strategy evolution on temporal hypergraphs.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
- Promoting collective cooperation through temporal interactions.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Evolution of trust in theJournal of the Royal Society, Interface · 2025Article
- The impact of mobility costs on cooperation and welfare in spatial social dilemmas.Scientific reports · 2024Article
- Dynamics of collective cooperation under personalised strategy updates.Nature communications · 2024Article
- Evolutionary dynamics on sequential temporal networks.PLoS computational biology · 2023Article
- A game-based approach for designing a collaborative evolution mechanism for unmanned swarms on community networks.Scientific reports · 2022Article
- Evolution of cooperation with asymmetric social interactions.Proceedings of the National Academy of Sciences of the United States of America · 2022Article
- Eco-evolutionary dynamics of multigames with mutations.PloS one · 2022Article
- Bilateral costly expulsions resolve the public goods dilemma.Proceedings. Mathematical, physical, and engineering sciences · 2021Article
- Peer pressure induced punishment resolves social dilemma on interdependent networks.Scientific reports · 2021Article
- Spectral analysis of transient amplifiers for death-birth updating constructed from regular graphs.Journal of mathematical biology · 2021Article
- Evolutionary dynamics of higher-order interactions in social networks.Nature human behaviour · 2021Article
- Interplay betweenScientific reports · 2020Article
- Cooperation on Interdependent Networks by Means of Migration and Stochastic Imitation.Entropy (Basel, Switzerland) · 2020Article
- A novel route to cyclic dominance in voluntary social dilemmas.Journal of the Royal Society, Interface · 2020Article
- Transient amplifiers of selection and reducers of fixation for death-Birth updating on graphs.PLoS computational biology · 2020Article
- Evolutionary games on isothermal graphs.Nature communications · 2019Article
- Seasonal payoff variations and the evolution of cooperation in social dilemmas.Scientific reports · 2019Article
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Authors and funding
4 authors.
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Abstract
Cooperation is a major factor in the evolution of human societies. The structure of social networks, which affects the dynamics of cooperation and other interpersonal phenomena, have common structural signatures. One of these signatures is the tendency to organize as groups. This tendency gives rise to networks with community structure, which are composed of distinct modules. In this paper, we study analytically the evolutionary game dynamics on large modular networks in the limit of weak selection. We obtain novel analytical conditions such that natural selection favours cooperation over defection. We calculate the transition point for each community to favour cooperation. We find that a critical inter-community link creation probability exists for given group density, such that the overall network supports cooperation even if individual communities inhibit it. As a byproduct, we present solutions for the critical benefit-to-cost ratio which perform with remarkable accuracy for diverse generative network models, including those with community structure and heavy-tailed degree distributions. We also demonstrate the generalizability of the results to arbitrary two-player games.
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