Name
Abstract | ||
|---|---|---|
We study a model of opinion dynamics introduced by Krause: each agent has an opinion represented by a real number, and updates its opinion by averaging all agent opinions that differ from its own by less than one. We give a new proof of convergence into clusters of agents, with all agents in the same cluster holding the same opinion. We then introduce a particular notion of equi- librium stability and provide lower bounds on the inter-cluster dis- tances at a stable equilibrium. To better understand the behavior of the system when the number of agents is large, we also introduce and study a variant involving a continuum of agents, obtaining partial convergence results and lower bounds on inter-cluster dis- tances, under some mild assumptions. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1109/TAC.2009.2031211 | IEEE Transactions on Automatic Control |
Keywords | Field | DocType |
Topology,Convergence,Multiagent systems,Laboratories,Stability,Distributed control,Animals,Educational programs | State dependent,Computer science,Theoretical computer science,Consensus model | Journal |
Volume | Issue | ISSN |
54 | 11 | 0018-9286 |
Citations | PageRank | References |
36 | 2.34 | 11 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Vincent D. Blondel | 1 | 1880 | 184.86 |
| Julien M. Hendrickx | 2 | 772 | 77.11 |
| John N. Tsitsiklis | 3 | 5300 | 621.34 |