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Evolution of Cooperation in Spatio-Temporal Evolutionary Games with Public Goods Feedback
Haihui Cheng1,2, Liubov Sysoeva2, Hao Wang2
1College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, People's Republic of China.
Bulletin of Mathematical Biology
|May 3, 2024
Summary
Eco-evolutionary game theory reveals that spatial dynamics and resource management are key to sustaining cooperation. Strategies that enhance public goods diffusion and control population movement promote coexistence between cooperators and defectors.
Area of Science:
- Evolutionary Game Theory
- Ecological Dynamics
- Population Biology
Background:
- Cooperative interactions are crucial in ecological systems, involving populations and cells that influence their environment.
- Eco-evolutionary game theory models explore feedback between player strategies and environmental states, particularly concerning shared resources.
Purpose of the Study:
- To investigate mechanisms sustaining cooperation in eco-evolutionary models with public goods.
- To analyze strategy dynamics in both well-mixed and spatially heterogeneous environments.
Main Methods:
- Utilized replicator dynamics within an eco-evolutionary game theory framework.
- Integrated spatial diffusion into replicator dynamics for a heterogeneous model.
- Analyzed temporal and spatial stability, including bistability, bifurcations, Turing instability, and chaos.
Main Results:
- Identified rich strategy dynamics like bistability and bifurcations in temporal systems.
- Observed spatial stability, Turing instability, Turing-Hopf bifurcations, and chaos in diffusion systems.
- Determined that increasing player density, public goods diffusion, and cooperator payoffs promote cooperation.
Conclusions:
- Effective strategies for promoting cooperation involve environmental and population management.
- Findings offer insights into diverse fields, from human decision-making to microbial ecology and group behavior.
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