Polarization and Non-Positive Social Influence: A Hopfield Model of Emergent Structure

  • Authors:
  • Zhenpeng Li;Xijin Tang

  • Affiliations:
  • Academy of Matehmatics and Systems Science, Chinese Academy of Science, China;Academy of Matehmatics and Systems Science, Chinese Academy of Science, China

  • Venue:
  • International Journal of Knowledge and Systems Science
  • Year:
  • 2012

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Abstract

The authors study patterns about group opinions in a group-based society by considering social influence. They classify three types of social influence: positive, neutral, and negative from the perspective of social identity, and investigate to what extent the non-positive social influence leads to group opinion polarization based on the Hopfield network model. Numerical simulations show that opinion in a group-based society would self-organize into bi-polarization pattern under the condition of no imposing external intervention, which is entirely different from the result of drift to an extreme polarization dominant state with single homogenous influence. These results are explained in the study and the authors show that opinions polarization in a group is coexisted with local structure balance.