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Updated: Sep 17, 2025

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Promoting collective cooperation through temporal interactions.

Yao Meng1, Alex McAvoy2,3, Aming Li1,4

  • 1Center for Systems and Control, College of Engineering, Peking University, Beijing 100871, China.

Proceedings of the National Academy of Sciences of the United States of America
|June 27, 2025
PubMed
Summary
This summary is machine-generated.

Cooperation thrives when highly connected individuals (hubs) interact less frequently over time. This temporal network approach promotes collective cooperation more effectively than static models.

Keywords:
collective cooperationevolutionary game dynamicstemporal networks

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Area of Science:

  • Evolutionary game theory
  • Network science
  • Social dynamics

Background:

  • Collective cooperation is vital for natural and social systems.
  • Previous studies on cooperation evolution primarily used static networks, neglecting temporal dynamics.
  • Understanding cooperation on dynamic, real-world temporal networks remains a challenge.

Purpose of the Study:

  • To systematically analyze the spread of cooperation on arbitrary temporal networks.
  • To develop a concise condition integrating evolutionary game dynamics with temporal interactions.
  • To identify strategies for promoting cooperation in dynamic social systems.

Main Methods:

  • Analysis of cooperation dynamics on temporal networks.
  • Integration of evolutionary game theory with temporal interaction models.
  • Development and validation of a quantitative metric for hub interaction priority.

Main Results:

  • Cooperation emergence is facilitated by temporally deprioritizing hubs (individuals with many ties).
  • A simple rule of thumb for promoting cooperation was identified.
  • A quantitative metric for hub priority was developed and validated on empirical data.

Conclusions:

  • Temporal interactions offer fundamental advantages for promoting collective cooperation.
  • The findings extend beyond insights from static network studies.
  • Strategies for orchestrating interaction order can effectively promote cooperation.