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We investigate the long time behavior of models of opinion formation. We consider the case of compactly supported interactions between agents which are also non-symmetric, including for instance the so-called

We investigate the long time behavior of models of opinion formation. We consider the case of compactly supported interactions between agents which are also non-symmetric, including for instance the so-called Krause model. Because of the finite range of interaction, convergence to a unique consensus is not expected in general. We are nevertheless able to prove the convergence to a final equilibrium state composed of possibly several local consensus. This result had so far only been conjectured through numerical evidence.

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Date Created
  • 2014-12-01
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  • Text
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    • Digital object identifier: 10.1016/j.jde.2014.08.005
    • Identifier Type
      International standard serial number
      Identifier Value
      0022-0396
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    • NOTICE: this is the author's version of a work that was accepted for publication in JOURNAL OF DIFFERENTIAL EQUATIONS. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in JOURNAL OF DIFFERENTIAL EQUATIONS, 257, 4165-4187. DOI: 10.1016/j.jde.2014.08.005, opens in a new window

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    Jabin, Pierre-Emmanuel, & Motsch, Sebastien (2014). Clustering and asymptotic behavior in opinion formation. JOURNAL OF DIFFERENTIAL EQUATIONS, 257(11), 4165-4187. http://dx.doi.org/10.1016/j.jde.2014.08.005

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