Continuous opinion model in small world directed networks

Abstract

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 $\epsilon$. 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 $\epsilon$ and of the network structural disorder. In directed networks $<F>$ exhibits a rich structure, being larger than in undirected networks for higher values of $\epsilon$, and smaller for lower values of $\epsilon$.

15 pages, 6 figures

References in corpus (15)

• Statistical physics of social dynamics
• Continuous Opinion Dynamics under Bounded Confidence: A Survey
• Nonequilibrium transitions in complex networks: a model of social interaction
• Global culture: A noise induced transition in finite systems
• The role of network topology on extremism propagation with the Relative Agreement opinion dynamics
• Bifurcations and Patterns in Compromise Processes
• Nonequilibrium Phase Transitions in Directed Small-World Networks
• Bounded confidence and Social networks
• Universality of the Threshold for Complete Consensus for the Opinion Dynamics of Deffuant et al
• Nonlinear Voter Models: The Transition from Invasion to Coexistence
• Majority-vote model on directed Erdos-Renyi random graphs
• Multidimensional Consensus model on a Barabasi-Albert network
• Monte Carlo Simulation of Deffuant opinion dynamics with quality differences
• Focusing of opinions in the Deffuant model: First impression counts
• Simple models of small world networks with directed links

Cited by in corpus (6)

• Opinion dynamics: models, extensions and external effects
• Opinion formation and distribution in a bounded confidence model on various networks
• Social Judgment Theory Based Model On Opinion Formation, Polarization And Evolution
• Clusters and the entropy in opinion dynamics on complex networks
• Impact of temporal network structures on the speed of consensus formation in opinion dynamics
• A generalised mean-field approximation for the Deffuant opinion dynamics model on networks