VECTOR OPINION DYNAMICS IN A BOUNDED CONFIDENCE CONSENSUS MODEL

By Santo Fortunato, Vito Latora, A. Pluchino, Andrea Rapisarda. 2005

188 citations recorded by the source corpus.

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 two-dimensional 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.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/00d7af75136d9a6a600f1817c5cc0616f5e4d6b4

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In Atomic and Molecular Physics, and Optics

Santo Fortunato

In Statistical and Nonlinear Physics

Citations in the corpus

On Krause's Multi-Agent Consensus Model With State-Dependent Connectivity (2008, methodology): “It is equivalent to the so-called “ discrete-time density based Hegselmann-Krause model” proposed independently in [25], which is in turn similar to a model presented in [ 13 ] in a continuous-time setup.”
Statistical physics of social dynamics (2007, background): “The time to reach the stationary state diverges in correspondence to the bifurcation thresholds of opinion clusters, due to the presence of isolated agents lying between consecutive clusters (Fortunato et al., 2005).”
Novel Multidimensional Models of Opinion Dynamics in Social Networks (2015, background): “…aforementioned models of opinion dynamics deal with scalar opinions, we deal with inﬂuence that may modify opinions on several topics, which makes it natural to consider vector-valued opinions [6], [33]–[35]; each opinion vector in such a model is constituted by d > 1 topic-speciﬁc scalar opinions.”