Vector Opinion Dynamics in a Bounded Confidence Consensus Model

Details Vector Opinion Dynamics in a Bounded Confidence Consensus Model Vector Opinion Dynamics in a Bounded Confidence Consensus Model

2005-04-02

arxiv.org/abs/physics/0504017v1

Int. Jour. Mod. Phys. C 16 (2005) 1535

Physics

Physics and Society

18 pages, (too) many figures. To appear on International Journal of Modern Physics C

Scientific paper

10.1142/S0129183105008126

We study the continuum opinion dynamics of the compromise model of Krause and Hegselmann for a community of mutually interacting agents, by solving numerically a rate equation. The opinions are here represented by bidimensional vectors with real-valued components. We study the situation starting from a uniform probability distribution for the opinion configuration and for different shapes of the confidence range. In all cases, we find that the thresholds for consensus and cluster merging either coincide with their one-dimensional counterparts, or are very close to them. The symmetry of the final opinion configuration, when more clusters survive, is determined by the shape of the opinion space. If the latter is a square, which is the case we consider, the clusters in general occupy the sites of a square lattice, although we sometimes observe interesting deviations from this general pattern, especially near the center of the opinion space.

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