The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
On Krause's Multi-Agent Consensus Model With State-Dependent Connectivity
Open accessAbstract
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 equilibrium stability and provide lower bounds on the inter-cluster distances 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 distances, under some mild assumptions.
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Cites
Consensus and Cooperation in Networked Multi-Agent Systems
Olfati-Saber, R., Fax, J. A., & Murray, R. M. (2007) · Proceedings of the IEEE · doi:10.1109/jproc.2006.887293 · Cited by 10,522 · cited 1×
“, [5], [17], [18], [26], [29], and [27], [28] for surveys.”
Coordination of groups of mobile autonomous agents using nearest neighbor rules
Jadbabaie, A., Lin, J., & Morse, A. S. (2003) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2003.812781 · Cited by 8,339
Mixing beliefs among interacting agents
Deffuant, G., Neau, D., Amblard, F., & Weisbuch, G. (2000) · Advances in Complex Systems · doi:10.1142/s0219525900000078 · Cited by 2,165
Cited by
Opinion Dynamics and Learning in Social Networks
Acemoglu, D., & Ozdaglar, A. (2011) · Dynamic Games and Applications · doi:10.1007/s13235-010-0004-1 · Cited by 705
A tutorial on modeling and analysis of dynamic social networks. Part I
Proskurnikov, A. V., & Tempo, R. (2017) · Annual Reviews in Control · doi:10.1016/j.arcontrol.2017.03.002 · Cited by 553
Opinion Dynamics and the Evolution of Social Power in Influence Networks
Jia, P., MirTabatabaei, A., Friedkin, N. E., & Bullo, F. (2015) · SIAM Review · doi:10.1137/130913250 · Cited by 318
A tutorial on modeling and analysis of dynamic social networks. Part II
Proskurnikov, A. V., & Tempo, R. (2018) · Annual Reviews in Control · doi:10.1016/j.arcontrol.2018.03.005 · Cited by 294
Opinion Dynamics: Models, Extensions and External Effects
Sîrbu, A., Loreto, V., Servedio, V. D. P., & Tria, F. (2017) · Understanding Complex Systems · doi:10.1007/978-3-319-25658-0_17 · Cited by 186
Metadata
- Authors
- Blondel, V. D., Hendrickx, J. M., & Tsitsiklis, J. N.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2009-11
- Volume
- 54
- Issue
- 11
- Pages
- 2586-2597
- ISSN
- 0018-9286 (ISSN-L)
- 1558-2523
- OpenAlex
- W1487758195
- Cited by
- 426
- References
- 3
- FWCI
- 13.43
- Type
- journal article
- Language
- en
- Open access
- green
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- Blondel, V. D., Hendrickx, J. M., & Tsitsiklis, J. N. (2009). On Krause's Multi-Agent Consensus Model With State-Dependent Connectivity. IEEE Transactions on Automatic Control. https://doi.org/10.1109/tac.2009.2031211
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