Consensus formation on a simplicial complex of opinions
Апстракт
Geometric realization of an opinion is considered as a simplex and the opinion space of a group of individuals is a simplicial complex whose topological features are monitored in the process of opinion formation. The agents are physically located at the nodes of a scale-free and a random network. Social interactions include all concepts of social dynamics present in the mainstream models, augmented by four additional interaction mechanisms which depend on the local properties of opinions and their overlapping properties. The results pertaining to the formation of consensus are of particular interest. An analogy with quantum mechanical pure states is established through the application of the high-dimensional combinatorial Laplacian. (C) 2013 Elsevier B.V. All rights reserved.
Кључне речи:
Opinion formation / Complex networks / Simplicial complex / TopologyИзвор:
Physica A: Statistical Mechanics and Its Applications, 2014, 397, 111-120Финансирање / пројекти:
- Напредне аналитичке, нумеричке и методе анализе примењене механике флуида и комплексних система (RS-MESTD-Basic Research (BR or ON)-174014)
DOI: 10.1016/j.physa.2013.12.001
ISSN: 0378-4371; 1873-2119
WoS: 000331420500007
Scopus: 2-s2.0-84891744442
Колекције
Институција/група
VinčaTY - JOUR AU - Maletić, Slobodan AU - Rajković, Milan PY - 2014 UR - https://vinar.vin.bg.ac.rs/handle/123456789/5883 AB - Geometric realization of an opinion is considered as a simplex and the opinion space of a group of individuals is a simplicial complex whose topological features are monitored in the process of opinion formation. The agents are physically located at the nodes of a scale-free and a random network. Social interactions include all concepts of social dynamics present in the mainstream models, augmented by four additional interaction mechanisms which depend on the local properties of opinions and their overlapping properties. The results pertaining to the formation of consensus are of particular interest. An analogy with quantum mechanical pure states is established through the application of the high-dimensional combinatorial Laplacian. (C) 2013 Elsevier B.V. All rights reserved. T2 - Physica A: Statistical Mechanics and Its Applications T1 - Consensus formation on a simplicial complex of opinions VL - 397 SP - 111 EP - 120 DO - 10.1016/j.physa.2013.12.001 ER -
@article{ author = "Maletić, Slobodan and Rajković, Milan", year = "2014", abstract = "Geometric realization of an opinion is considered as a simplex and the opinion space of a group of individuals is a simplicial complex whose topological features are monitored in the process of opinion formation. The agents are physically located at the nodes of a scale-free and a random network. Social interactions include all concepts of social dynamics present in the mainstream models, augmented by four additional interaction mechanisms which depend on the local properties of opinions and their overlapping properties. The results pertaining to the formation of consensus are of particular interest. An analogy with quantum mechanical pure states is established through the application of the high-dimensional combinatorial Laplacian. (C) 2013 Elsevier B.V. All rights reserved.", journal = "Physica A: Statistical Mechanics and Its Applications", title = "Consensus formation on a simplicial complex of opinions", volume = "397", pages = "111-120", doi = "10.1016/j.physa.2013.12.001" }
Maletić, S.,& Rajković, M.. (2014). Consensus formation on a simplicial complex of opinions. in Physica A: Statistical Mechanics and Its Applications, 397, 111-120. https://doi.org/10.1016/j.physa.2013.12.001
Maletić S, Rajković M. Consensus formation on a simplicial complex of opinions. in Physica A: Statistical Mechanics and Its Applications. 2014;397:111-120. doi:10.1016/j.physa.2013.12.001 .
Maletić, Slobodan, Rajković, Milan, "Consensus formation on a simplicial complex of opinions" in Physica A: Statistical Mechanics and Its Applications, 397 (2014):111-120, https://doi.org/10.1016/j.physa.2013.12.001 . .