Nonlinear eco-evolutionary games with global environmental fluctuations and local environmental feedbacks

Area of Science:

• Evolutionary Game Theory
• Environmental Dynamics
• Social Systems

Background:

• Environmental changes, including global fluctuations and local feedbacks, influence social dilemmas.
• Previous studies examined these environmental aspects separately, leaving their combined effects unclear.

Purpose of the Study:

• To develop a theoretical framework integrating group strategic behaviors with dynamic environments.
• To investigate the coupled dynamics of local game-environment evolution under different global environmental conditions.

Main Methods:

• Developed a theoretical framework for public goods games with nonlinear global environmental fluctuations and local 'eco-evolutionary game' feedbacks.
• Analyzed the coupled dynamics of strategy and environment evolution in static and dynamic global environments.

Main Results:

• Discovered cyclic evolution of group cooperation and local environment in dynamic global environments, forming an irregular loop.
• Observed that cyclic evolution transforms into a stable equilibrium when the global environment is frequency-dependent.

Conclusions:

• The interplay between global and local environmental changes significantly shapes evolutionary outcomes in social dilemmas.
• Nonlinear interactions between strategies and dynamic environments can generate diverse evolutionary trajectories, including cyclical cooperation.