Finite-size effects on the convergence time in continuous-opinion dynamics
arXiv:2103.06055 · doi:10.1103/PhysRevE.104.014309
Abstract
We study finite-size effects on the convergence time in a continuous-opinion dynamics model. In the model, each individual's opinion is represented by a real number on a finite interval, e.g., , and a uniformly randomly chosen individual updates its opinion by partially mimicking the opinion of a uniformly randomly chosen neighbor. We numerically find that the characteristic time to the convergence increases as the system size increases according to a particular functional form in the case of lattice networks. In contrast, unless the individuals perfectly copy the opinion of their neighbors in each opinion updating, the convergence time is approximately independent of the system size in the case of regular random graphs, uncorrelated scale-free networks, and complete graphs. We also provide a mean-field analysis of the model to understand the case of the complete graph.
arXiv comment9 pages, 6 figures
References in corpus (42)
- Statistical physics of social dynamics
- Generation of uncorrelated random scale-free networks
- Voter Model on Heterogeneous Graphs
- Nonequilibrium phase transition in the coevolution of networks and opinions
- A Tutorial on Modeling and Analysis of Dynamic Social Networks. Part I
- Continuous Opinion Dynamics under Bounded Confidence: A Survey
- Voter Models on Heterogeneous Networks
- A Tutorial on Modeling and Analysis of Dynamic Social Networks. Part II
- Voter model dynamics in complex networks: Role of dimensionality, disorder and degree distribution
- Reality Inspired Voter Models: A Mini-Review
- Conservation laws for the voter model in complex networks
- Bifurcations and Patterns in Compromise Processes
- Multiscaling in Infinite Dimensional Collision Processes
- Recent advances in opinion propagation dynamics: A 2020 Survey
- Vector Opinion Dynamics in a Bounded Confidence Consensus Model
- Temporal networks: slowing down diffusion by long lasting interactions
- Analytical Solution of the Voter Model on Disordered Networks
- The Emergence of Consensus: A Primer
- Comparison of voter and Glauber ordering dynamics on networks
- Fate of Zero-Temperature Ising Ferromagnets
- Freezing in Ising Ferromagnets
- Solution of voter model dynamics on annealed small-world networks
- Dynamical and spectral properties of complex networks
- Neighborhood models of minority opinion spreading
- Voter model on the two-clique graph
- Effect of network topology on the ordering dynamics of voter models
- Ordering dynamics of the multi-state voter model
- Consensus Formation in Multi-state Majority and Plurality Models
- Dynamics of Confident Voting
- Fragmentation transitions in multi-state voter models
- General coevolution of topology and dynamics in networks
- Persistence in the Voter model: continuum reaction-diffusion approach
- The phase diagram and critical behavior of the three-state majority-vote model
- Finite-time Convergent Gossiping
- Cumulants of the three state Potts model and of nonequilibrium models with C3v symmetry
- A multi-state voter model with imperfect copying
- Solution of the multi-state voter model and application to strong neutrals in the naming game
- Discontinuous phase transition in an annealed multi-state majority-vote model
- Explosive Phase Transition in a Majority-Vote Model with Inertia
- Phase transitions in a multistate majority-vote model on complex networks
- Convergence Rate Analysis for Periodic Gossip Algorithms in Wireless Sensor Networks
- Networks maximizing the consensus time of voter models