Skip to main content
placeholder image

A model of the effects of authority on consensus formation in adaptive networks: Impact on network topology and robustness

Journal Article


Download full-text (Open Access)

Abstract


  • Opinions of individuals in real social networks are arguably strongly influenced by external determinants, such as the opinions of those perceived to have the highest levels of authority. In order to model this, we have extended an existing model of consensus formation in an adaptive network by the introduction of a parameter representing each agent's level of 'authority' based on their opinion relative to the overall opinion distribution. We found that introducing this model, along with a randomly varying opinion convergence factor, significantly impacts the final state of converged opinions and the number of interactions required to reach that state. We also determined the relationship between initial and final network topologies for this model, and whether the final topology is robust to node removals. Our results indicate firstly that the process of consensus formation with a model of authority consistently transforms the network from an arbitrary initial topology to one with distinct measurements in mean shortest path, clustering coefficient, and degree distribution. Secondly, we found that subsequent to the consensus formation process, the mean shortest path and clustering coefficient are less affected by both random and targeted node disconnection. Speculation on the relevance of these results to real world applications is provided.

Authors


  •   Prettejohn, Brenton J. (external author)
  •   Berryman, Matthew J.
  •   McDonnell, Mark D. (external author)

Publication Date


  • 2013

Citation


  • Prettejohn, B. J., Berryman, M. J. & McDonnell, M. D. (2013). A model of the effects of authority on consensus formation in adaptive networks: Impact on network topology and robustness. Physica A: Statistical Mechanics and its Applications, 392 (4), 857-868.

Scopus Eid


  • 2-s2.0-84871715984

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=1085&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/80

Number Of Pages


  • 11

Start Page


  • 857

End Page


  • 868

Volume


  • 392

Issue


  • 4

Abstract


  • Opinions of individuals in real social networks are arguably strongly influenced by external determinants, such as the opinions of those perceived to have the highest levels of authority. In order to model this, we have extended an existing model of consensus formation in an adaptive network by the introduction of a parameter representing each agent's level of 'authority' based on their opinion relative to the overall opinion distribution. We found that introducing this model, along with a randomly varying opinion convergence factor, significantly impacts the final state of converged opinions and the number of interactions required to reach that state. We also determined the relationship between initial and final network topologies for this model, and whether the final topology is robust to node removals. Our results indicate firstly that the process of consensus formation with a model of authority consistently transforms the network from an arbitrary initial topology to one with distinct measurements in mean shortest path, clustering coefficient, and degree distribution. Secondly, we found that subsequent to the consensus formation process, the mean shortest path and clustering coefficient are less affected by both random and targeted node disconnection. Speculation on the relevance of these results to real world applications is provided.

Authors


  •   Prettejohn, Brenton J. (external author)
  •   Berryman, Matthew J.
  •   McDonnell, Mark D. (external author)

Publication Date


  • 2013

Citation


  • Prettejohn, B. J., Berryman, M. J. & McDonnell, M. D. (2013). A model of the effects of authority on consensus formation in adaptive networks: Impact on network topology and robustness. Physica A: Statistical Mechanics and its Applications, 392 (4), 857-868.

Scopus Eid


  • 2-s2.0-84871715984

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=1085&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/80

Number Of Pages


  • 11

Start Page


  • 857

End Page


  • 868

Volume


  • 392

Issue


  • 4