Bounded Confidence under Preferential Flip: A Coupled Dynamics of Structural Balance and Opinions
arXiv:1610.02660 · doi:10.1371/journal.pone.0164323
Abstract
In this work we study the coupled dynamics of social balance and opinion formation. We propose a model where agents form opinions under bounded confidence, but only considering the opinions of their friends. The signs of social ties -friendships and enmities- evolve seeking for social balance, taking into account how similar agents' opinions are. We consider both the case where opinions have one and two dimensions. We find that our dynamics produces the segregation of agents into two cliques, with the opinions of agents in one clique differing from those in the other. Depending on the level of bounded confidence, the dynamics can produce either consensus of opinions within each clique or the coexistence of several opinion clusters in a clique. For the uni-dimensional case, the opinions in one clique are all below the opinions in the other clique, hence defining a "left clique" and a "right clique". In the two-dimensional case, our numerical results suggest that the two cliques are separated by a hyperplane in the opinion space. We also show that the phenomenon of unidimensional opinions identified by DeMarzo, Vayanos and Zwiebel (Q J Econ 2003) extends partially to our dynamics. Finally, in the context of politics, we comment about the possible relation of our results to the fragmentation of an ideology and the emergence of new political parties.
8 figures, PLoS ONE 11(10): e0164323, 2016
References in corpus (25)
- Statistical physics of social dynamics
- Science vs Conspiracy: collective narratives in the age of (mis)information
- Nonequilibrium phase transition in the coevolution of networks and opinions
- Continuous Opinion Dynamics under Bounded Confidence: A Survey
- Biased Assimilation, Homophily and the Dynamics of Polarization
- Opinion Dynamics in Social Networks with Hostile Camps: Consensus vs. Polarization
- Dynamics of Social Balance on Networks
- Analysis of a continuous-time model of structural balance
- Social Balance on Networks: The Dynamics of Friendship and Enmity
- Generic Absorbing Transition in Coevolution Dynamics
- Structural balance and opinion separation in trust-mistrust social networks
- Consensus formation on adaptive networks
- Vector Opinion Dynamics in a Bounded Confidence Consensus Model
- Who's talking first? Consensus or lack thereof in coevolving opinion formation models
- The Heider balance - a continuous approach
- Dynamical Models Explaining Social Balance and Evolution of Cooperation
- Coevolution of agents and networks: Opinion spreading and community disconnection
- Opinion and community formation in coevolving networks
- Opinion Dynamics with Confirmation Bias
- Local Convergence and Global Diversity: From Interpersonal to Social Influence
- Compromise and Synchronization in Opinion Dynamics
- Phase transition in a coevolving network of conformist and contrarian voters
- Modulus Consensus over Networks with Antagonistic Interactions and Switching Topologies
- Intracultural diversity in a model of social dynamics
- Field evidence of social influence in the expression of political preferences: the case of secessionist flags in Barcelona
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- A Tutorial on Modeling and Analysis of Dynamic Social Networks. Part I
- A Tutorial on Modeling and Analysis of Dynamic Social Networks. Part II
- Opinion formation and distribution in a bounded confidence model on various networks
- Homophily based on few attributes can impede structural balance
- Competitive Balance Theory: Modeling conflict of interest in a heterogeneous network
- Polarization in the three-state -voter model with anticonformity and bounded confidence