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 .