Evolutionary dynamics and the evolution of multiplayer cooperation in a subdivided population.

Area of Science:

• Evolutionary game theory
• Mathematical biology
• Population dynamics

Background:

• Classical evolutionary graph theory models structured populations.
• Recent frameworks allow flexible, time-varying population structures and multiplayer games.
• Existing models have limitations in dynamic processes and general subpopulation structures.

Purpose of the Study:

• Extend existing frameworks for evolutionary dynamics in structured populations.
• Incorporate general subpopulation structures with common movement distributions.
• Analyze the evolution of cooperation in multiplayer public goods games within these structured populations.

Main Methods:

• Developed a complete set of evolutionary dynamics applicable to evolutionary graph theory.
• Modeled general subpopulation structures where each subpopulation is a single vertex.
• Extended the concept of 'temperature' to 'subgroup temperature' to represent interaction and turnover rates.

Main Results:

• Cooperation can evolve in populations with subpopulation structures.
• Sufficiently stable subpopulations are crucial for the evolution of cooperation.
• Smaller subpopulations promote the evolution of cooperation more readily.

Conclusions:

• The developed framework accommodates complex population structures and dynamics.
• Subpopulation stability is a key factor in the evolution of cooperation.
• The 'subgroup temperature' provides insights into cooperation dynamics in structured populations.