Opinion dynamics and influencing on random geometric graphs.
Weituo Zhang1, Chjan C Lim1, G Korniss2
1Department of Mathematical Sciences, Rensselaer Polytechnic Institute, 110 8th Street, Troy, NY, 12180-3590 USA.
Scientific Reports
|July 5, 2014
Summary
This study explores opinion dynamics on graphs, revealing that opinion domain boundaries move based on their curvature. Committed agents impact how quickly consensus is reached in social networks.
Area of Science:
- Complex Systems
- Social Dynamics
- Network Science
Background:
- The Naming Game models opinion formation and spread in social networks.
- Random geometric graphs capture spatial relationships in agent interactions.
Purpose of the Study:
- Investigate the two-word Naming Game on 2D random geometric graphs.
- Analyze the emergence and behavior of opinion domains.
- Understand the influence of committed agents on consensus.
Main Methods:
- Developed a mean-field equation for opinion dynamics.
- Analyzed stationary solutions and time-scale separation.
- Studied the propagation speed of opinion domain boundaries.
Main Results:
- Opinion domains spontaneously emerge with clear geographic boundaries.
- Domain boundaries propagate at a speed proportional to their curvature.
- Determined the scaling of consensus time influenced by committed agents.
Conclusions:
- The model successfully captures spatial opinion distribution and propagation.
- Curvature-driven boundary dynamics are key to domain evolution.
- Committed agents significantly affect the time to reach social consensus.
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