Majority Rule in Nonlinear Opinion Dynamics

  • Michael Gabbay
  • Arindam K. Das
Part of the Understanding Complex Systems book series (UCS)


Using a nonlinear model of opinion dynamics on networks, we show the existence of asymmetric majority rule solutions for symmetric initial opinion distributions and symmetric network structure. We show that this occurs in triads as the result of a pitchfork bifurcation and arises in both chain and complete topologies with symmetric as well as asymmetric coupling. Analytical approximations for bifurcation boundaries are derived which closely match numerically-obtained boundaries. Bifurcation-induced symmetry breaking represents a novel mechanism for generating majority rule outcomes without built-in structural or dynamical asymmetries; however, the policy outcome is fundamentally unpredictable.


Coupling Strength Majority Rule Center Node Chain Network Coupling Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



We acknowledge the support of the Defense Threat Reduction Agency and the Office of Naval Research under grant HDTRA1-10-1-0075.


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Applied Physics LaboratoryUniversity of WashingtonSeattleUSA
  2. 2.Department of Engineering and DesignEastern Washington UniversityCheneyUSA

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