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Evolution of cooperation under a time-varying peer pressure model in complex networks
1School of Statistics and Data Science, Capital University of Economics and Business, Beijing 100070, China.
Chaos (Woodbury, N.Y.)
|July 15, 2025
Summary
Introducing time-varying peer pressure enhances cooperation in networks. This model, considering changing individual sensitivity, significantly boosts cooperation evolution, especially in Watts-Strogatz networks.
Area of Science:
- Social Sciences
- Network Science
- Game Theory
Background:
- The traditional prisoner's dilemma model is a foundational concept in game theory for studying cooperation.
- Peer pressure, a social influence, can impact individual decision-making in cooperative dilemmas.
- Understanding how dynamic social factors affect cooperation in networks is crucial for various social and economic systems.
Purpose of the Study:
- To introduce and analyze a novel time-varying peer pressure model within the prisoner's dilemma framework.
- To investigate the impact of time-varying peer pressure on the evolution of cooperation in different network structures.
- To quantify the enhancement of cooperation by considering dynamic individual sensitivity to peer pressure.
Main Methods:
- Decomposition of peer pressure into intensity and time-varying sensitivity.
- Modeling pressure sensitivity using a Sigmoid function to capture individual differences and temporal changes.
- Application and evaluation of the model on Watts-Strogatz (WS) and Barabási-Albert (BA) network models.
- Analysis of cooperation levels by measuring the proportion of cooperators and the survival range of cooperation (parameter 'b').
Main Results:
- The time-varying peer pressure model significantly enhances the evolution of cooperation compared to the traditional prisoner's dilemma.
- In Watts-Strogatz networks, cooperation survival range expands to b≤1.95 under the new model.
- In Barabási-Albert networks, the cooperation survival range expands to b≤2.7 for a network scale of 100.
Conclusions:
- Time-varying peer pressure is an effective mechanism for promoting cooperation in social dilemmas.
- The proposed model demonstrates a more pronounced enhancement of cooperation in WS networks compared to BA networks.
- Dynamic individual characteristics, like sensitivity to peer pressure, play a vital role in the evolution of cooperation within complex networks.
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