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Evolution of cooperation with interactive identity and diversity.

Qi Su1, Aming Li2, Long Wang3

  • 1Center for Systems and Control, College of Engineering, Peking University, Beijing 100871, China; Center for Polymer Studies, Department of Physics, Boston University, Boston, MA 02115, USA.

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Introducing interactive identity and interactive diversity, this study shows that diverse interaction patterns stabilize cooperation in networks. Strategic placement in heterogeneous networks enhances resilience, with optimal outcomes achieved by combining both interaction types.

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Area of Science:

  • Evolutionary Game Theory
  • Complex Systems Dynamics
  • Social Behavior Modeling

Background:

  • Cooperation evolution research traditionally assumes uniform interaction patterns.
  • Interactive identity (uniform behavior) and interactive diversity (varied behavior) are key interaction patterns.
  • Understanding mixed interaction patterns is crucial for complex systems.

Purpose of the Study:

  • To investigate cooperation dynamics in populations with both interactive identity and interactive diversity.
  • To analyze the impact of these patterns on homogeneous and heterogeneous networks.
  • To identify optimal strategies for promoting cooperation.

Main Methods:

  • Agent-based modeling of evolutionary game theory.
  • Simulation of diverse populations in homogeneous and heterogeneous network structures.
  • Analysis of cooperation stability across various payoff values and environmental noise levels.

Main Results:

  • A small fraction of interactive diversity stabilizes cooperation in homogeneous networks, even under noise.
  • In heterogeneous networks, interactive diversity in high-degree nodes boosts resilience but hinders coordination.
  • The most effective cooperation strategy combines interactive identity in high-degree nodes with interactive diversity elsewhere.

Conclusions:

  • Mixed interaction patterns are essential for understanding and promoting cooperation.
  • Network structure and node characteristics significantly influence the success of different interaction strategies.
  • Coordinated application of interactive identity and diversity offers a heuristic for achieving social optimum in cooperation.