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 nei...

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Bibliographic Details
Published in:Physica A 2010-12, Vol.389 (24), p.5864-5870
Main Authors: Gandica, Yérali, del Castillo-Mussot, Marcelo, Vázquez, Gerardo J., Rojas, Sergio
Format: Article
Language:English
Subjects:
Bounded confidence
Consensus/dissent
Convergence pattern
Directed networks
Disorders
Mathematical models
Networks
Opinion dynamics
Physics
Simulation
Statistical mechanics
Thresholds
Tolerances
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Summary: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 .
ISSN:0378-4371
1873-2119
0378-4371
DOI:10.1016/j.physa.2010.08.025