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Summary
This summary is machine-generated.

This study explores opinion dynamics in communities. Negative interactions can cause order-disorder transitions, while indecision noise can help minorities gain influence, but too much neutrality hinders opinion spread.

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Area of Science:

  • Sociophysics
  • Computational Social Science
  • Statistical Mechanics

Background:

  • Understanding opinion evolution in structured populations is crucial for social dynamics.
  • Interactions within and between communities significantly shape collective opinion formation.
  • The role of negative interactions and agent inflexibility in opinion dynamics remains an active research area.

Purpose of the Study:

  • To investigate opinion evolution in a community-based population with both negative and positive intergroup interactions.
  • To analyze the impact of inflexible agents and indecision noise on opinion ordering.
  • To model and simulate opinion dynamics using coupled mean-field approximations and Monte Carlo simulations.

Main Methods:

  • Development of a coupled mean-field approximation preserving community structure.
  • Conducting Monte Carlo simulations to validate theoretical approximations.
  • Introducing negative intergroup interactions with probability p.
  • Incorporating inflexible agents and indecision noise (probability q) for opinion switching to a neutral state.

Main Results:

  • Observed continuous and discontinuous order-disorder transitions under negative interactions.
  • Identified nonmonotonic ordering for intermediate community strength.
  • Demonstrated that modular structure leads to nonmonotonic global ordering as indecision noise (q) increases.
  • Found a dual role for neutrality: aiding minority opinion spread at moderate levels but hindering it when agents are too susceptible.

Conclusions:

  • Community structure and interaction types profoundly influence opinion evolution.
  • Negative interactions can lead to complex phase transitions in opinion dynamics.
  • Indecision noise can facilitate minority opinion adoption, but its effectiveness is contingent on the susceptibility of agents to neutrality.