ON THE CONSENSUS THRESHOLD FOR THE OPINION DYNAMICS OF KRAUSE–HEGSELMANN

Santo Fortunato ()
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Santo Fortunato: Fakultät für Physik, Universität Bielefeld, D-33501 Bielefeld, Germany

International Journal of Modern Physics C (IJMPC), 2005, vol. 16, issue 02, 259-270

Abstract: In the consensus model of Krause–Hegselmann, opinions are real numbers between 0 and 1, and two agents are compatible if the difference of their opinions is smaller than the confidence bound parameter ∊. A randomly chosen agent takes the average of the opinions of all neighboring agents which are compatible with it. We propose a conjecture, based on numerical evidence, on the value of the consensus threshold∊cof this model. We claim that∊ccan take only two possible values, depending on the behavior of the average degreedof the graph representing the social relationships, when the populationNapproaches infinity: ifddiverges whenN→∞,∊cequals the consensus threshold∊i~0.2on the complete graph; if insteaddstays finite whenN→∞,∊c=1/2as for the model of Deffuantet al.

Keywords: Sociophysics; Monte Carlo simulations (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (4)

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DOI: 10.1142/S0129183105007078

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