Continuous opinion model in small-world directed networks

In the compromise model of continuous opinions proposed by Deffuant et al., the states of two agents in a network can start to converge if they are neighbors and if their opinions are sufficiently close to each other, below a given threshold of tolerance ϵϵ. In directed networks, if agent ii is a neighbor of agent j,jj,j need not be a neighbor of ii. In Watts–Strogatz networks we performed simulations to find the averaged number of final opinions 〈F〉〈F〉 and their distribution as a function of ϵϵ and of the network structural disorder. In directed networks 〈F〉〈F〉 exhibits a rich structure, being larger than in undirected networks for higher values of ϵϵ, and smaller for lower values of ϵϵ.