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 ϵ. In directed networks, if agent i is a neighbor of agent j,j need not be a neighbor of i. In Watts–Strogatz networks we performed simulations to find the averaged number of final opinions 〈F〉 and their distribution as a function of ϵ and of the network structural disorder. In directed networks 〈F〉 exhibits a rich structure, being larger than in undirected networks for higher values of ϵ, and smaller for lower values of ϵ.