Carleton University - School of Computer Science Honours Project
Winter 2019
Trust-based opinion leaders for bounded confidence opinion dynamics
Michael Berthelot
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ABSTRACT
This paper reviews several extensions of the Hegselmann-Krause bounded confidence model for opinion dynamics and introduces a trust-based modification with opinion leaders. This trust-based model is then analysed for its impact on a leader's ability to attract followers, and the population's capability to reach consensus. Furthermore, three leadership characteristics are studied alongside trust: stubbornness, appeal, and extremeness. Simulations show that untrustworthy leaders attract less followers, and that successful leaders should seek to minimize appeal and maximize trust. On the other hand, when group confidence is low, trust's behaviour is more complicated: high appeal causes high trust to have no effect on follower count, while low trust will always cause a loss in followers.