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Related Experiment Video

Updated: May 18, 2026

Setting Limits on Supersymmetry Using Simplified Models

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

Fragmentation transitions in multistate voter models.

Gesa A Böhme¹, Thilo Gross

¹Max-Planck Institute for the Physics of Complex Systems, Dresden, Germany. gesa@pks.mpg.de

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|September 26, 2012

Summary

This summary is machine-generated.

Social networks can fragment into disconnected groups as opinions adapt. This study explores fragmentation in models with multiple opinions, finding it can occur even without opinions being equidistant, and the number of opinions can be reduced without impacting fragmentation points.

Related Experiment Videos

Last Updated: May 18, 2026

Setting Limits on Supersymmetry Using Simplified Models

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

Area of Science:

Social Dynamics
Network Science
Computational Social Science

Background:

Adaptive models of opinion formation can lead to social network fragmentation.
Previous models often assumed opinions were equidistant or linearly arranged.
Understanding fragmentation is key to comprehending social network structure and evolution.

Purpose of the Study:

To investigate opinion formation models with an arbitrary number of opinions.
To analyze the fragmentation transition beyond equidistant or one-dimensional opinion assumptions.
To explore the impact of opinion dimensionality on network fragmentation.

Main Methods:

Developed analytical models for opinion formation with multiple, non-equidistant opinions.
Conducted agent-based simulations to validate analytical findings.
Investigated fragmentation points in a three-opinion model.

Main Results:

Detailed analytical results on fragmentation in a three-opinion model were obtained.
Agent-based simulations confirmed the analytical predictions.
Demonstrated that certain models allow opinion reduction without altering fragmentation points.

Conclusions:

Social network fragmentation is a robust phenomenon in adaptive opinion models, not limited by opinion arrangement.
The number of opinions can be a flexible parameter in modeling fragmentation.
Findings advance the understanding of social network dynamics and opinion formation.