Name
Abstract | ||
|---|---|---|
Recently, an opinion dynamics model has been proposed to describe a network of individuals discussing a set of logically interdependent topics. For each individual, the set of topics and the logical interdependencies between the topics (captured by a logic matrix) form a belief system. We investigate the role the logic matrix and its structure plays in determining the final opinions, including existence of the limiting opinions, of a strongly connected network of individuals. We provide a set of results that, given a set of individuals' belief systems, allow a systematic determination of which topics will reach a consensus, and of which topics will disagreement arise. For irreducible logic matrices, each topic reaches a consensus. For reducible logic matrices, which indicates a cascade interdependence relationship, conditions are given on whether a topic will reach a consensus or not. It turns out that heterogeneity among the individuals' logic matrices, and a cascade interdependence relationship, are necessary conditions for disagreement. Thus, this article attributes for the first time, a strong diversity of limiting opinions to heterogeneity of belief systems in influence networks, in addition to the more typical explanation that strong diversity arises from individual stubbornness. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1109/TAC.2019.2961998 | IEEE Transactions on Automatic Control |
Keywords | DocType | Volume |
Agent-based models,influence networks,multiagent systems,opinion dynamics,social networks | Journal | 65 |
Issue | ISSN | Citations |
11 | 0018-9286 | 0 |
PageRank | References | Authors |
0.34 | 0 | 5 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mengbin Ye | 1 | 53 | 10.63 |
| Ji Liu | 2 | 146 | 26.61 |
| Lili Wang | 3 | 186 | 10.46 |
| B. D. O. Anderson | 4 | 244 | 59.51 |
| Ming Cao | 5 | 2343 | 249.61 |