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A model for analyzing competitive dynamics on triplex networks.

Qirui Yang1, Xiaoqun Wu1, Ziye Fan1

  • 1School of Mathematics and Statistics, Wuhan University, Hubei 430072, China.

Chaos (Woodbury, N.Y.)
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Summary
This summary is machine-generated.

This study introduces a triplex network model to analyze competitive dynamics. Increasing active nodes and transition thresholds enhances network competitiveness and layer survival.

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Area of Science:

  • Complex Systems Science
  • Network Science
  • Computational Social Science

Background:

  • Competitive dynamics are crucial in multi-layer systems.
  • Existing models often focus on single-layer networks.
  • Understanding inter-layer competition is key for complex network evolution.

Purpose of the Study:

  • To propose and analyze a novel triplex complex network model.
  • To investigate the evolution of competitive dynamics across multiple network layers.
  • To identify factors influencing network competitiveness and stability.

Main Methods:

  • Development of a triplex network model integrating opinion diffusion, Ising, and signed network concepts.
  • Derivation of the model's evolution process and dynamical equations.
  • Extensive numerical simulations to explore parameter influences.

Main Results:

  • Higher global transition thresholds and initial active nodes increase surviving layers and node activity.
  • Correlations identified between initial active nodes, average degree, and network competitiveness.
  • Network topology significantly impacts competitiveness, with specific conditions identified for optimal performance.

Conclusions:

  • The proposed triplex network model provides insights into competitive dynamics in multi-layer systems.
  • Strategies involving initial node activation and network structure can enhance platform competitiveness.
  • Findings offer practical suggestions for improving real-world platform competitiveness.