Effects of homophily and heterophily on preferred-degree networks: mean-field analysis and overwhelming transition

  title={Effects of homophily and heterophily on preferred-degree networks: mean-field analysis and overwhelming transition},
  author={Xiang Li and Mauro Mobilia and Alastair M. Rucklidge and R. K. P. Zia},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
  • Xiang LiM. Mobilia R. Zia
  • Published 29 July 2021
  • Economics
  • Journal of Statistical Mechanics: Theory and Experiment
We investigate the long-time properties of a dynamic, out-of-equilibrium network of individuals holding one of two opinions in a population consisting of two communities of different sizes. Here, while the agents’ opinions are fixed, they have a preferred degree which leads them to endlessly create and delete links. Our evolving network is shaped by homophily/heterophily, a form of social interaction by which individuals tend to establish links with others having similar/dissimilar opinions… 

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A new method of data analysis is applied to personal network data to investigate the possible role of heterophily, revealing that status-heterophilous relationships can be considered as guiding principles, or mechanisms, for generating groups of social categories.

Nonequilibrium phase transition in the coevolution of networks and opinions.

  • P. HolmeM. Newman
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2006
A simple model of the convergence of opinion in social systems, with a single parameter controlling the balance of the two processes, that undergoes a continuous phase transition as this parameter is varied, from a regime in which opinions are arbitrarily diverse to one in which most individuals hold the same opinion.