Universality of the Threshold for Complete Consensus for the Opinion Dynamics of Deffuant et al

Details Universality of the Threshold for Complete Consensus for the Opinion Dynamics of Deffuant et al Universality of the Threshold for Complete Consensus for the Opinion Dynamics of Deffuant et al

2004-06-02

arxiv.org/abs/cond-mat/0406054v1

Physics

Condensed Matter

Statistical Mechanics

8 pages, 4 figures, to appear in Int. J. Mod. Phys. C 15, issue 9

Scientific paper

10.1142/S0129183104006728

In the compromise model of Deffuant et al., 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 \epsilon. The opinions of a randomly chosen pair of compatible agents get closer to each other. We provide strong numerical evidence that the threshold value of \epsilon above which all agents share the same opinion in the final configuration is 1/2, independently of the underlying social topology.

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