Papers › When open mindedness hinders consensus
When open mindedness hinders consensus
Hendrik Schawe, Laura Hernández
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We perform a detailed study of the Hegselmann-Krause bounded confidence opinion dynamics model with heterogeneous confidence εᵢ drawn from uniform distributions in different intervals [εₗ, εᵤ]. The phase diagram reveals a highly complex and nonmonotonous behaviour, with a re-entrant consensus phase in the region where fragmentation into multiple distinct opinions is expected for the homogeneous case. A careful exploration of the phase diagram, along with an extensive finite-size analysis, allows us to identify the mechanism leading to this counter-intuitive behaviour. This systematic study over system sizes which go well beyond those of previous works, is enabled by an efficient algorithm presented in this article.
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