Name
Abstract | ||
|---|---|---|
This paper investigates the asymptotic behavior of some common opinion dynamic models in a continuum of agents. We show that as long as the interactions among the agents are symmetric, the distribution of the agents' opinions converges. We also investigate whether convergence occurs in a stronger sense than merely in distribution, namely, whether the opinion of almost every agent converges. We show that while this is not the case in general, it becomes true under plausible assumptions on interagent interactions, namely that agents with similar opinions exert a nonnegligible pull on each other, or that the interactions are entirely determined by their opinions via a smooth function. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1137/130943923 | SIAM JOURNAL ON CONTROL AND OPTIMIZATION |
Keywords | Field | DocType |
multiagent systems,opinion dynamics,consensus,Lyapunov stability | Convergence (routing),Statistical physics,Mathematical analysis,Continuum (design consultancy),Dynamic models,Opinion dynamics,Smoothness,Asymptotic analysis,Mathematics | Journal |
Volume | Issue | ISSN |
54 | 5 | 0363-0129 |
Citations | PageRank | References |
1 | 0.36 | 6 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Julien M. Hendrickx | 1 | 772 | 77.11 |
| Alex Olshevsky | 2 | 1227 | 87.77 |