VECTOR OPINION DYNAMICS IN A BOUNDED CONFIDENCE CONSENSUS MODEL

Santo Fortunato (), Vito Latora (), Alessandro Pluchino () and Andrea Rapisarda ()
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Santo Fortunato: Fakultät für Physik, Universität Bielefeld, D-33501 Bielefeld, Germany;
Vito Latora: Dipartimento di Fisica e Astronomia and INFN sezione di Catania, Universita' di Catania, Catania I-95123, Italy
Alessandro Pluchino: Dipartimento di Fisica e Astronomia and INFN sezione di Catania, Universita' di Catania, Catania I-95123, Italy
Andrea Rapisarda: Dipartimento di Fisica e Astronomia and INFN sezione di Catania, Universita' di Catania, Catania I-95123, Italy

International Journal of Modern Physics C (IJMPC), 2005, vol. 16, issue 10, 1535-1551

Abstract: 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.

Keywords: Sociophysics; Monte Carlo simulations (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (9)

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DOI: 10.1142/S0129183105008126

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