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Spontaneous symmetry breaking in interdependent networked game.

Qing Jin1, Lin Wang2, Cheng-Yi Xia3

  • 11] Center for Complex Network Research and Department of Physics, Northeastern University, Boston, MA 02115, USA [2] School of Physics, Nankai University, Tianjin 300071, China.

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This summary is machine-generated.

Interdependent networks reveal that cooperation symmetry breaks when interactions exceed a threshold. This symmetry breaking in spatial reciprocity is driven by asynchronous strategy expansion between networks.

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Area of Science:

  • Evolutionary Game Theory
  • Network Science
  • Complex Systems

Background:

  • Traditional spatial evolution games assume isolated networks.
  • Interactions between networks are increasingly recognized as crucial for game outcomes.

Purpose of the Study:

  • To investigate the impact of interdependent networks on spatial evolution games.
  • To analyze the conditions leading to symmetry breaking in cooperation.

Main Methods:

  • Introduction of a simple game model on two interdependent networks.
  • Utilizing imitation dynamics to observe evolutionary strategies.
  • Employing strategy-couple pair approximation for prediction.

Main Results:

  • Cooperation symmetry is maintained when the interdependence factor (α) is below a critical threshold (α(C)).
  • Exceeding α(C) leads to spontaneous symmetry breaking in the fraction of cooperators between networks.
  • Symmetry breaking is caused by asynchronous expansion of heterogeneous strategy pairs.

Conclusions:

  • Interdependent network structure significantly influences cooperation dynamics in evolutionary games.
  • The study provides a novel mechanism for symmetry breaking in spatial reciprocity.
  • The findings are predictable using theoretical approximation methods.