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Abstract: We study multidimensional continuous opinion dynamics, where opinions arenonnegative vectors which components sum up to one. Examples of such opinionsare budgets or other allocation vectors which display a distribution of a fixedamount of ressource to n projects.We use the opinion dynamics models of Deffuant-Weisbuch andHegselmann-Krause, which both extend naturally to more dimensional opinions.They both rely on bounded confidence of the agents and differ in theircommunication regime. We show detailed simulation results regarding $n=2,

.,8$and the bound of confidence $\eps$. Number, location and size of opinionclusters in the stabilized opinion profiles are of interest.Known differences of both models repeat under higher opinion dimensions:Higher number of clusters and more minor clusters in the Deffuant-Weisbuchmodel, meta-stable states in the Hegselmann-Krause model. But surprisingly,higher dimensions lead to better chances for a vast majority consensus even forlower bounds of confidence. On the other hand, the number of minority clustersrises with n, too.



Author: Jan Lorenz

Source: https://arxiv.org/







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