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Heterophobic interactions hinder consensus formation in sparse random networks.

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Heterophobia, the repulsion from dissimilar opinions, can prevent social consensus on networks. This effect depends on interaction strength and individual rationality, altering consensus emergence and stability.

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Area of Science:

  • Social network dynamics
  • Sociophysics
  • Opinion formation modeling

Background:

  • Heterophobic interactions, like homophilic ones, significantly shape social network dynamics.
  • These interactions influence processes such as opinion formation, social balance, and epidemic spreading.

Purpose of the Study:

  • To investigate how heterophobia impacts consensus formation in social networks.
  • To analyze the transition from consensus to no consensus under varying heterophobia strengths and individual rationality.

Main Methods:

  • Utilized belief propagation and Monte Carlo simulations.
  • Employed treelike signed graphs to model social interactions.
  • Analyzed phase transitions and parameter regions for consensus.

Main Results:

  • Sufficient heterophobia can impede consensus formation that would otherwise occur via a phase transition.
  • The consensus transition shifts from continuous to discontinuous as heterophobia strength and individual rationality decrease.
  • Consensus stability shows strong dependence on initial conditions.

Conclusions:

  • Heterophobia is a critical factor in social consensus dynamics, comparable to homophobia.
  • The emergence and stability of consensus are sensitive to the interplay between heterophobia, rationality, and network structure.
  • The parameter space for achieving consensus diminishes with an increasing number of topics.