Conflict Dynamics in Scale-Free Networks with Degree Correlations and Hierarchical Structure
Eduardo Jacobo-Villegas1, Bibiana Obregón-Quintana1, Lev Guzmán-Vargas2
1Facultad de Ciencias, Universidad Nacional Autonoma de Mexico, Ciudad de Mexico 04510, Mexico.
Dynamic interactions on complex networks are influenced by network topology and actor behavior. A balanced mix of cooperative and competitive interactions promotes system cohesion across various network structures.
Area of Science:
- Complex systems
- Network science
- Agent-based modeling
Background:
- Understanding actor dynamics on complex networks is crucial.
- Network topology and interaction types significantly influence system evolution.
- Assortative mixing describes correlations in actor connections.
Purpose of the Study:
- To investigate dynamic interactions on scale-free and hierarchical scale-free networks.
- To analyze the impact of cooperative vs. competitive interactions on actor states.
- To examine the role of assortative mixing in network dynamics.
Main Methods:
- Agent-based modeling of actor state evolution.
- Simulation on scale-free and hierarchical scale-free network topologies.
- Analysis of interaction dynamics under varying cooperation-competition ratios and assortativity.
Main Results:
- System evolution depends on the balance of cooperative and competitive interactions.
- Scale-free networks show higher dispersion with extreme interaction types; balanced interactions reduce separation.
- Assortative mixing impacts divergence: positive increases it, negative decreases it.
- Hierarchical scale-free networks exhibit unique behaviors, with greater divergence under cooperative dominance and varied effects of rich club formation.
Conclusions:
- Network topology critically shapes interaction dynamics.
- A balanced mix of cooperators and competitors leads to more cohesive systems.
- Findings emphasize the interplay between network structure, interaction strategies, and emergent system behavior.
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