Universality of the threshold for complete consensus for the opinion dynamics of Deffuant et al.

In the compromise model of Deffuant et al., opinions are real numbers between 0 and 1, and two agents axe compatible if the difference of their opinions is smaller than the confidence bound parameter E. 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 c above which all agents share the same opinion in the final configuration is 1/2, independently of the underlying social topology.