Emergence of cooperation through chain-reaction death
Jiwon Bahk1, Hyeong-Chai Jeong1,2
1Department of Physics and Astronomy, Sejong University, Seoul 05006, Korea.
Physical Review. E
|March 16, 2022
Summary
This study introduces a game model for evolutionary dynamics, showing how cooperation can emerge through a prisoner's dilemma game. Chain-reaction death processes promote the assortment of cooperators, enabling cooperation in more scenarios than previously predicted.
Area of Science:
- Evolutionary game theory
- Complex systems modeling
- Population dynamics
Background:
- Coevolutionary models like Bak-Sneppen explain species adaptation.
- Emergence of cooperation in populations remains a key challenge in evolutionary biology.
- Previous models often struggle to explain stable cooperative behaviors.
Purpose of the Study:
- To generalize the Bak-Sneppen model into a game model for evolutionary dynamics.
- To investigate the emergence of cooperation using a prisoner's dilemma game.
- To explore the impact of different death processes on cooperative dynamics.
Main Methods:
- Generalization of the Bak-Sneppen model to a game-theoretic framework.
- Simulation using Monte Carlo methods and mean-field calculations.
- Incorporation of fitness-dependent and chain-reaction death processes.
Main Results:
- Cooperators interacting with defectors can lead to chain-reaction deaths of neighbors.
- This chain-reaction death process facilitates the assortment of cooperators.
- Cooperation emerges for a broader range of parameters (R values) than predicted by mean-field theory.
Conclusions:
- The proposed game model naturally facilitates the emergence of cooperation.
- Chain-reaction death is a crucial mechanism for promoting cooperative assortments.
- The model provides a more robust explanation for cooperation compared to traditional mean-field predictions.
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