2005
DOI: 10.1142/s0129183105008126
|View full text |Cite
|
Sign up to set email alerts
|

Vector Opinion Dynamics in a Bounded Confidence Consensus Model

Abstract: We study the continuum opinion dynamics of the compromise model of Krause and Hegselmann for a community of mutually interacting agents by solving numerically a rate equation. The opinions are here represented by two-dimensional vectors with real-valued components. We study the situation starting from a uniform probability distribution for the opinion configuration and for different shapes of the confidence range. In all cases, we find that the thresholds for consensus and cluster merging either coincide with … Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
2

Citation Types

4
152
0

Year Published

2007
2007
2024
2024

Publication Types

Select...
3
2
1

Relationship

0
6

Authors

Journals

citations
Cited by 169 publications
(156 citation statements)
references
References 11 publications
4
152
0
Order By: Relevance
“…In the example of Figure 4 consensus is achieved very fast under the heterogeneous bounds of confidence. The discrete time and discrete opinion space approach for density-based models presented here and the continuous approaches (DW [9], HK [10]) for density-based models have been shown to lead to the same results for the DW model [16]. This does not hold for the HK model (see [11] for a discussion).…”
Section: Dw and Hk Model Extended To Heterogeneous Bounds Of Confidencementioning
confidence: 77%
See 3 more Smart Citations
“…In the example of Figure 4 consensus is achieved very fast under the heterogeneous bounds of confidence. The discrete time and discrete opinion space approach for density-based models presented here and the continuous approaches (DW [9], HK [10]) for density-based models have been shown to lead to the same results for the DW model [16]. This does not hold for the HK model (see [11] for a discussion).…”
Section: Dw and Hk Model Extended To Heterogeneous Bounds Of Confidencementioning
confidence: 77%
“…For the HK model the same approach was first applied independently in [10] and [14], for an overview and discussion of different methods see [11].…”
Section: Dw and Hk Model Extended To Heterogeneous Bounds Of Confidencementioning
confidence: 99%
See 2 more Smart Citations
“…In our own work we have focused on a sociocultural approach which relies on four important ideas [20]. First, it relies crucially on a peer-to-peer social dynamics within a community of agents, similar to models of opinion dynamics [8]. Each agent is able to generate structure and then aligns this progressively with other agents based on local feedback in language games.…”
Section: Introductionmentioning
confidence: 99%