Krause's model of opinion dynamics on isolated time scales |
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Authors: | Ewa Girejko Luís Machado Agnieszka B Malinowska Natália Martins |
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Institution: | 1. Faculty of Computer Science, Bialystok University of Technology, Bia?ystok, Poland;2. Department of Mathematics, University of Trás‐os‐Montes e Alto Douro (UTAD), Vila Real, Portugal;3. CIDMA – Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, Aveiro, Portugal |
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Abstract: | We analyze a bounded confidence model, introduced by Krause, on isolated time scales. In this model, each agent takes into account only the assessments of the agents whose opinions are not too far away from its own opinion. We show that the behavior of the model depends strongly on the graininess function μ: If μ takes values in the interval ]0,1], then our discrete time scale model behaves similarly to the classical one, but if μ takes values in ]1,+∞, then the model has different properties. Simulations are performed to validate the theoretical results. Copyright © 2016 John Wiley & Sons, Ltd. |
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Keywords: | discrete dynamic systems consensus formation cluster formation bounded confidence opinion dynamics time scale calculus subclass 34N05 39A12 |
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