ArticleNature communications2024
Dynamics of collective cooperation under personalised strategy updates.
Article in Nature communications, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers.
What it found
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.
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Who cites it
8 citing papers in PubMed.
- Temporality modulates the effect of network heterogeneity on cooperation fixation.Nature communications · 2026Article
- Public goods games on any population structure.Science advances · 2026Article
- From simultaneous to leader-follower play in direct reciprocity.PNAS nexus · 2026Article
- Heavy-tailed update distributions arise from information-driven self-organization in nonequilibrium learning.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Promoting collective cooperation through temporal interactions.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Multiple objectives escaping bird search optimization and its application in stock market prediction based on transformer model.Scientific reports · 2025Article
- Behavioural strategies in simultaneous and alternating prisoner's dilemma games with/without voluntary participation.Scientific reports · 2024Article
- Dynamics of collective cooperation under personalised strategy updates.Nature communications · 2024Article
Corrections and comments
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Authors and funding
4 authors.
Funding
Abstract
Collective cooperation is essential for many social and biological systems, yet understanding how it evolves remains a challenge. Previous investigations report that the ubiquitous heterogeneous individual connections hinder cooperation by assuming individuals update strategies at identical rates. Here we develop a general framework by allowing individuals to update strategies at personalised rates, and provide the precise mathematical condition under which universal cooperation is favoured. Combining analytical and numerical calculations on synthetic and empirical networks, we find that when individuals' update rates vary inversely with their number of connections, heterogeneous connections actually outperform homogeneous ones in promoting cooperation. This surprising property undercuts the conventional wisdom that heterogeneous structure is generally antagonistic to cooperation and, further helps develop an efficient algorithm OptUpRat to optimise collective cooperation by designing individuals' update rates in any population structure. Our findings provide a unifying framework to understand the interplay between structural heterogeneity, behavioural rhythms, and cooperation.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.