Dynamics of collective cooperation under personalised strategy updates

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...

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Main Authors: Yao Meng, Sean P. Cornelius, Yang-Yu Liu, Aming Li
Format: Article
Language:English
Published: Nature Portfolio 2024-04-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-024-47380-8
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author Yao Meng
Sean P. Cornelius
Yang-Yu Liu
Aming Li
author_facet Yao Meng
Sean P. Cornelius
Yang-Yu Liu
Aming Li
author_sort Yao Meng
collection DOAJ
description 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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spelling doaj.art-3e293b547d524c25a4e6641aa29f442d2024-04-14T11:20:25ZengNature PortfolioNature Communications2041-17232024-04-0115111110.1038/s41467-024-47380-8Dynamics of collective cooperation under personalised strategy updatesYao Meng0Sean P. Cornelius1Yang-Yu Liu2Aming Li3Center for Systems and Control, College of Engineering, Peking UniversityDepartment of Physics, Toronto Metropolitan UniversityChanning Division of Network Medicine, Department of Medicine, Brigham and Women’s Hospital and Harvard Medical SchoolCenter for Systems and Control, College of Engineering, Peking UniversityAbstract 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.https://doi.org/10.1038/s41467-024-47380-8
spellingShingle Yao Meng
Sean P. Cornelius
Yang-Yu Liu
Aming Li
Dynamics of collective cooperation under personalised strategy updates
Nature Communications
title Dynamics of collective cooperation under personalised strategy updates
title_full Dynamics of collective cooperation under personalised strategy updates
title_fullStr Dynamics of collective cooperation under personalised strategy updates
title_full_unstemmed Dynamics of collective cooperation under personalised strategy updates
title_short Dynamics of collective cooperation under personalised strategy updates
title_sort dynamics of collective cooperation under personalised strategy updates
url https://doi.org/10.1038/s41467-024-47380-8
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