# Nonequilibrium phase transition in the coevolution of networks and opinions.

@article{Holme2006NonequilibriumPT, title={Nonequilibrium phase transition in the coevolution of networks and opinions.}, author={Petter Holme and Mark E. J. Newman}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2006}, volume={74 5 Pt 2}, pages={ 056108 } }

Models of the convergence of opinion in social systems have been the subject of considerable recent attention in the physics literature. These models divide into two classes, those in which individuals form their beliefs based on the opinions of their neighbors in a social network of personal acquaintances, and those in which, conversely, network connections form between individuals of similar beliefs. While both of these processes can give rise to realistic levels of agreement between…

## 488 Citations

Opinion dynamics on an adaptive random network.

- Mathematics, MedicinePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2009

The classical model for voter dynamics in a two-party system with two basic modifications is revisited and criteria to determine whether consensus or polarization will be the outcome of the dynamics and on what time scales these states will be reached are established.

Role of social environment and social clustering in spread of opinions in co-evolving networks

- Computer Science, PhysicsChaos
- 2013

It is found that varying the shape of the distribution of probability of accepting or rejecting opinions can lead to the emergence of two qualitatively distinct final states, one having several isolated connected components each in internal consensus, allowing for the existence of diverse opinions, and the other having a single dominant connected component with each node within that dominant component having the same opinion.

A multi-opinion evolving voter model with infinitely many phase transitions

- Mathematics, MedicinePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2013

The model has infinitely many phase transitions (in the large graph limit with infinitely many initial opinions) and the formulas describing the end states of these processes are remarkably simple when expressed as a function of β=α/(1-α).

Opinion and community formation in coevolving networks.

- Computer Science, PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2009

This model includes the opinion-dependent link-rewiring scheme to describe network topology coevolution with a slower time scale than that of the opinion formation and shows the importance of the separation between fast and slow time scales resulting in the network to organize as well-connected small communities of agents with the same opinion.

Coevolution of Opinions and Directed Adaptive Networks in a Social Group

- Computer ScienceJ. Artif. Soc. Soc. Simul.
- 2014

The Hegselmann-Krause (HK) model is extended to investigate the coevolution of opinions and observational networks (directed ErdA¶s-RA©nyi network) and reveals that on static networks, final opinions are influenced by percolation properties of networks; but on directed adaptive networks, it is basically determined by the rewiring probability, which increases the average degree of networks.

STUDIES OF OPINION STABILITY FOR SMALL DYNAMIC NETWORKS WITH OPPORTUNISTIC AGENTS

- Physics, Mathematics
- 2009

There are numerous examples of societies with extremely stable mix of contrasting opinions. We argue that this stability is a result of an interplay between society network topology adjustment and…

Opinion dynamics in a group-based society

- Psychology
- 2010

Many models have been proposed to analyze the evolution of opinion structure due to the interaction of individuals in their social environment. Such models analyze the spreading of ideas both in…

Bounded Confidence under Preferential Flip: A Coupled Dynamics of Structural Balance and Opinions

- Computer Science, PhysicsPloS one
- 2016

This work proposes a model where agents form opinions under bounded confidence, but only considering the opinions of their friends, and finds that this model produces the segregation of agents into two cliques, with the opinions in one clique differing from those in the other.

Opinion Diversity and Social Bubbles in Adaptive Sznajd Networks

- Computer Science, MathematicsArXiv
- 2019

This work develops an approach -- namely the adaptive Sznajd model -- in which changes of opinion by an individual implies in possible alterations in the network topology, by allowing agents to change their connections preferentially to other neighbors with the same state.

Opinion spreading and agent segregation on evolving networks

- Mathematics
- 2006

Abstract We study a stochastic model where the distribution of opinions in a population of agents coevolves with their interaction network. Interaction between agents is enhanced or penalized…

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